Robert E. Kalaba

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All published works

Action	Title	Year	Authors
+	A General Linea-Quadratic Optimization Problem	2005	Yueyue Fan Robert E. Kalaba
+ PDF Chat	Reflections on the Gauss Principle of Least Constraint	2005	Yueyue Fan Robert E. Kalaba H. H. Natsuyama Firdaus E. Udwadia
+	On an extension of A. N. Krylov's numerical method for determining the frequencies of small vibrations of systems with damping	2005	Robert E. Kalaba E. Zagustin
+	Dynamic programming and minimal norm solutions of least squares problems	2004	Robert E. Kalaba H. H. Natsuyama
+	Statistical Measures for Ordinary Least Squares Using the αQ Algorithm	2003	Jeffrey D. Johnson Robert E. Kalaba
+	Sequential Determination of the {1, 4}-Inverse of a Matrix	2003	Firdaus E. Udwadia Robert E. Kalaba
+	Photon diffusion and invariant imbedding	2000	Robert E. Kalaba H. H. Natsuyama Sueo Ueno
+	Cauchy systems for fredholm integral equations with parameter imbedding	2000	John L. Casti Robert E. Kalaba H. H. Natsuyama Sueo Ueno
+ PDF Chat	The Bellman-Gauss principle for constrained motion	1999	Robert E. Kalaba H. H. Natsuyama S. Ueno Rongxing Xu
+	The estimation of parameters in time-dependent transport problems: Dynamic programming and associative memories	1999	Robert E. Kalaba H. H. Natsuyama S. Ueno
+ PDF Chat	An Alternative Proof of the Greville Formula	1997	Firdaus E. Udwadia Robert E. Kalaba
+	Obtaining initial parameter estimates for chaotic dynamical systems using linear associative memories	1996	Mu Gu Robert E. Kalaba Grant A. Taylor
+	A multicriteria specification approach to model and estimation	1996	Robert E. Kalaba Leigh Tesfatsmn
+	On The Generalized Inverse Form of the Equations of Constrained Motion	1995	Robert E. Kalaba Rong Xu
+ PDF Chat	Solving shortest length least-squares problems via dynamic programming	1995	Robert E. Kalaba Rongxing Xu Wei Feng
+	A Multicriteria Approach to Model Specification and Estimation	1995	Robert E. Kalaba Leigh Tesfatsion
+	A Multicriteria Approach to Model Specification and Estimation	1995	Robert E. Kalaba Leigh Tesfatsion
+	A Unified Approach to Dynamic Estimation	1991	Robert E. Kalaba Leigh Tesfatsion
+	Solving nonlinear equations by adaptive homotopy continuation	1991	Robert E. Kalaba Leigh Tesfatsion
+	A Unified Approach to Dynamic Estimation	1991	Robert E. Kalaba Leigh Tesfatsion
+	Linear programming and simple associative memories	1990	Robert E. Kalaba Moon Kim James E. Moore
+	Nonlocal automated sensitivity analysis	1990	Robert E. Kalaba Leigh Tesfatsion
+	Associate memories for system identification: Inverse problems in remote sensing	1990	H. Kagiwada Robert E. Kalaba Steve Timko Sueo Ueno
+	A FORTRAN program for time-varying linear regression via flexible least squares	1989	Robert E. Kalaba Nima Rasakhoo Leigh Tesfatsion
+	Time-Varying Linear Regression Via Flexible Least Squares	1989	Robert E. Kalaba Leigh Tesfatsion
+	Time-Varying Linear Regression Via Flexible Least Squares	1989	Robert E. Kalaba Leigh Tesfatsion
+	An invariant-imbedding solution of general linear two-point boundary-value problems	1988	Anthony S. Wexler Robert E. Kalaba Leigh Tesfatsion Donald J. Marsh
+	New methods for boundary value problems	1988	Robert E. Kalaba Anthony S. Wexler
+	An Invariant Imbedding Solution for General Linear Two-Point Boundary Value Problems	1988	Robert E. Kalaba Donald J. Marsh Leigh Tesfatsion Anthony S. Wexler
+	An Invariant Imbedding Solution for General Linear Two-Point Boundary Value Problems	1988	Robert E. Kalaba Donald J. Marsh Leigh Tesfatsion Anthony S. Wexler
+	The b and h functions for integral equations with displacement kernels: A computational method and an application to radiative transfer	1987	H. Kagiwada Robert E. Kalaba Melvin R. Scott
+	Automation of Nested Matrix and Derivative Operations	1987	Robert E. Kalaba Thomas Plum Leigh Tesfatsion
+	Automatic differentiation of functions of derivatives	1986	Robert E. Kalaba Leigh Tesfatsion
+	Automatic solution of nonlinear integral equations	1986	H. Kagiwada Robert E. Kalaba K. Spingarn
+	Automatic derivative evaluation in solving boundary value problems: the renal medulla	1986	Anthony S. Wexler Robert E. Kalaba Donald J. Marsh
+	Algorithms for generalized inverses	1986	Robert E. Kalaba Nima Rasakhoo
+	Methods for Numerical Differentiation	1986	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn
+	Sukhanov’s Variable Initial Value Method for Boundary Value Problems	1986	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn
+	Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary-value problems, II	1985	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn
+	Automatic Solution of Nthorder Optimal Control Problems	1985	Robert E. Kalaba K. Spingarn
+	Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary value problems—IV	1985	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn
+	Rate of convergence of the generalized newton algorithm using the fixed-point approach	1984	Robert E. Kalaba Asher Tishler J. S. Wang
+	On the use of the table method in constrained optimization	1984	Robert E. Kalaba Asher Tishler
+	Generalized Newton algorithm to minimize a function with many variables using computer-evaluated exact higher-order derivatives	1984	Robert E. Kalaba Asher Tishler
+	Automatic solution of optimal control problems III: Differential and integral constraints	1984	Robert E. Kalaba K. Spingarn
+	Numerical experiments using Sukhanov's initial- value method for nonlinear two-point boundary value problems—III	1984	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn
+	Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary value problems	1984	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn
+	On the use of higher order derivatives in optimization using Lagrange's expansion	1983	Robert E. Kalaba Asher Tishler
+	An initial value method for the nonlinear integral equation F(u(t),t,λ) = λʃ10k(t,y,u(y))dy	1983	H. Kagiwada Robert E. Kalaba
+	A Computer program to minimize a function with many variables using computer evaluated exact higher-order derivatives	1983	Robert E. Kalaba Asher Tishler
+	On the rate of convergence of the quasi-linearization method	1983	Robert E. Kalaba K. Spingarn
+	Automatic Solution of Optimal Control Problems II. First-Order Nonlinear Systems	1983	Robert E. Kalaba K. Spingarn
+	A new proof for Decell's finite algorithm for generalized inverses	1983	Robert E. Kalaba Nima Rasakhoo Asher Tishler Jia Song Wang
+	Nonlinear least squares via automatic derivative evaluation	1983	Robert E. Kalaba Nima Rasakhoo Asher Tishler
+	A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables	1983	Robert E. Kalaba Leigh Tesfatsion J.-L. Wang
+	A generalized Newton algorithm using higher-order derivatives	1983	Robert E. Kalaba Asher Tishler
+	Decell's finite algorithm for generalized inverses and tests to determine the rank of a matrix	1983	Robert E. Kalaba Asher Tishler Jia Song Wang
+	Gauss-Newton Method for System Identification	1982	Robert E. Kalaba K. Spingarn
+	Numerical Solutions for Linear Two-Point Boundary-Value Problems	1982	Robert E. Kalaba K. Spingarn
+	Numerical Solutions for Nonlinear Two-Point Boundary-Value Problems	1982	Robert E. Kalaba K. Spingarn
+ PDF Chat	Complete comparative static differential equations	1981	Robert E. Kalaba Leigh Tesfatsion
+	Analytical aspects of computational linear algebra	1981	Robert E. Kalaba Nima Rasakhoo
+	Variational equations for the eigenvalues and eigenvectors of nonsymmetric matrices	1981	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	Individual tracking of an eigenvalue and eigenvector of a parameterized matrix	1981	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	Individual Tracking of an Eigenvalue and Eigenvector of a Parameterized Matrix	1981	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	Variational Equations for the Eigenvalues and Eigenvectors of Nonsymmetric Matrices	1981	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	Complete Comparative Static Differential Equations	1981	Robert E. Kalaba Leigh Tesfatsion
+	Individual Tracking of an Eigenvalue and Eigenvector of a Parameterized Matrix	1981	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	Complete Comparative Static Differential Equations	1981	Robert E. Kalaba Leigh Tesfatsion
+	Variational Equations for the Eigenvalues and Eigenvectors of Nonsymmetric Matrices	1981	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	A new differential equation method for finding the Perron root of a positive matrix	1980	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	A New Differential Equation Method for Finding the Perron Root of a Positive Matrix	1980	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	The equivalence of team theory's integral equations and a Cauchy system: sensitivity analysis of a variational problem	1980	Alireza Akbari James D. Hess H. Kagiwada Robert E. Kalaba
+	A New Differential Equation Method for Finding the Perron Root of a Positive Matrix	1980	Robert E. Kalaba K. Spingarn Leigh Tesfatsion
+	Imbedding methods for the integral equations for the optimal control of time-lag systems, I: Parameter dependence	1979	H. Kagiwada Robert E. Kalaba
+	Cooperative dynamic programming	1979	James D. Hess H. Kagiwada Robert E. Kalaba Chris P. Tsokos
+	On a boundary value problem in the theory of urine formation	1979	J. Buell Robert E. Kalaba Donald J. Marsh
+	Imbedding Methods for Integral Equations with Applications	1979	H. Kagiwada Robert E. Kalaba
+	Direct transformation of variational problems into Cauchy systems—II. scalar-semi-quadratic case	1978	James D. Hess H. Kagiwada Robert E. Kalaba
+	Direct transformation of variational problems into Cauchy systems. I. Scalar-quadratic case	1978	J. Hess Robert E. Kalaba
+	Extension of S.L. Sobolev's initial value method to nonlinear integral equations	1978	H. Kagiwada Robert E. Kalaba
+	New representation and method of solving fredholm integral equations	1978	E.A. Za Gustina Robert E. Kalaba
+	An initial value method for orthogonal polynomials	1978	Robert E. Kalaba E. Zagustin G. D. Meier
+	Fitting differential equation models to observed economic data—I. quasilinearization	1978	Jay Helms H. Kagiwada Robert E. Kalaba John H. Niedercorn
+	An imbedding method for matrix eigenvalue problems	1978	Robert E. Kalaba Kenneth D. Mease
+	Solution of the Falkner-Skan equation by quasilinearization	1978	E. Zagustin G. Ikeda Robert E. Kalaba
+	Inverse problems in radiative transfer	1978	H. Kagiwada Robert E. Kalaba
+	Imbedding methods for integral equations with applications	1978	H. Kagiwada Robert E. Kalaba
+	Reduction of Linear Two-point Boundary Value Problems with Non-separable Boundary Conditions to Cauchy Systems	1977	Robert E. Kalaba E. Zagustin
+	Numerical solution of a nonlinear two-point boundary value problem by an imbedding method	1977	Robert E. Kalaba K. Spingarn
+	A modification of Davidenko's method for nonlinear systems	1977	Robert E. Kalaba E. Zagustin W. Holbrow R. Huß
+	Probability Theory with the Essential Analysis.	1977	J. Susan Milton Chris P. Tsokos Robert E. Kalaba
+	Temperature retrieval by imbedding methods: A new method which avoids linear algebraic equations	1976	H. Kagiwada Robert E. Kalaba
+	Optimal input system identification for homogeneous and nonhomogeneous boundary conditions	1975	Robert E. Kalaba K. Spingarn
+	Anisotropic scattering in inhomogeneous media—1. A new representation formula for the solution of the auxiliary integral equation for the source function	1975	A. L. Fymat Robert E. Kalaba E. Zagustin
+	An initial-value method for integral operators V. Kernels depending upon a parameter	1975	Robert E. Kalaba Melvin R. Scott
+	An initial-value method for integral operators: III—Refinement of complex eigenvalues by Newton's method	1975	Robert E. Kalaba Melvin R. Scott
+	An Initial Value Method for Dual Integral Equations with Bessel Function Kernels.	1975	H. H. Natsuyama Robert E. Kalaba
+	On a boundary value problem for integro-differential equations	1974	R. Huß Robert E. Kalaba R. Vasudevan
+	An initial-value method for Fredholm integral equations with generalized degenerate kernels	1974	Robert E. Kalaba Melvin R. Scott
+	Reduction of a non-linear two point boundary value problem with non-linear boundary conditions to a cauchy system	1974	Robert E. Kalaba E. Zagustin
+	An initial value method for an inverse problem in wave propagation	1974	Robert E. Kalaba E. Zagustin
+	A cauchy method for an integral equation of linearized couette flow	1974	John L. Casti Robert E. Kalaba D. R. Willis
+	An initial-value method for integral operators. II. Complex eigenfunctions	1973	Robert E. Kalaba Melvin R. Scott
+	An initial-value method for nonlinear integral equations	1973	H. Kagiwada Robert E. Kalaba
+	An initial value method for integral operators: I-complex eigenvalues	1973	Robert E. Kalaba Melvin R. Scott
+	An initial-value method for integral operators—IV. Complex-valued kernels of laser theory	1973	Robert E. Kalaba Melvin R. Scott
+	The basic functionsb andh for Fredholm integral equations with displacement kernels	1973	H. Kagiwada Robert E. Kalaba
+	Initial-value problems in potential theory	1973	E. Angel Anil K. Jain Robert E. Kalaba
+	Equivalence relationships between diffuse radiation fields for finite slabs bounded by a perfect specular reflector and a perfect absorber	1973	John L. Casti H. Kagiwada Robert E. Kalaba
+	A proposal for the calculation of characteristic functions for certain differential and integral operators via initial-value methods	1973	John L. Casti Robert E. Kalaba Melvin R. Scott
+	Numerical results for Sobolev's function Q of radiative transfer	1973	J. Buell Robert E. Kalaba S. Ueno
+	A cauchy system for a class of nonlinear fredholm integral equations	1973	John L. Casti Robert E. Kalaba S. Ueno
+	Numerical solution of the integral equations for optimal sequential filtering	1973	Robert E. Kalaba K. Spingarn
+	A new method for the Lebedev-Ufliand integral equation for contact problems of elasticity	1972	Robert E. Kalaba Andrew Yakush E. Zagustin
+	An initial value method for dual integral equations	1972	Robert E. Kalaba E. Zagustin
+	Solution of a system of dual integral equations	1972	J. Buell H. Kagiwada Robert E. Kalaba Enrique H. Ruspini E. Zagustin
+	An initial value method for the Ambarzumian integral equation	1972	J. Buell Robert E. Kalaba A. L. Fymat
+	Reduction of Fredholm integral equations to cauchy systems	1972	Robert E. Kalaba E. Zagustin
+	Reduction of a Class of Nonlinear Integral Equations to a Cauchy System	1972	H. Kagiwada Robert E. Kalaba Chung-Chun Yang
+	A decision-theoretical approach to the detection of ECG abnormalities: II. Approximate treatment of the detection of ventricular extrasystoles	1971	J. M. Richardson L. Julian Haywood V. K. Murthy Robert E. Kalaba
+	On the integral equations of optimal signal detection and estimation theory	1971	Robert E. Kalaba
+	Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels	1971	John L. Casti Robert E. Kalaba S. Ueno
+	Invariant imbedding and radiative transfer in a homogeneous cylindrical medium	1971	Robert E. Kalaba Enrique H. Ruspini
+	Invariant imbedding and radiation fields in finite isotropically scattering slabs bounded by a Lambert's law reflector	1971	H. Kagiwada Robert E. Kalaba
+	Radiative Transfer in Spherical Shell Atmospheres with Radial Symmetry	1971	S. Ueno H. Kagiwada Robert E. Kalaba
+	A new method for determining radiation fields in finite, conservative, isotropically scattering media bounded by a Lambert's law reflector	1971	Robert E. Kalaba
+	A cauchy system for the green's function and the solution of a two-point boundary value problem	1971	R. Huß H. Kagiwada Robert E. Kalaba
+	Reduction of Matrix Integral Equations with Displacement Kernels on the Half-Line to Cauchy Systems	1971	Robert E. Kalaba
+	Computation of the moments of solutions of certain random two point boundary value problems	1971	R. Huß Robert E. Kalaba
+	A one-sweep numerical method for vector-matrix difference equations with two-point boundary conditions	1970	Edward Angel Robert E. Kalaba
+	A one sweep method for linear difference equations with two point boundary conditions	1970	Robert E. Kalaba
+ PDF Chat	An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels	1970	H. Kagiwada Robert E. Kalaba
+	External radiation fields for isotropically scattering finite atmospheres bounded by a Lambert law reflector	1970	John L. Casti H. Kagiwada Robert E. Kalaba
+	Boundary-Value Problems for the Integro-Differential Equations of Nonlocal Wave Interaction. I	1970	Robert E. Kalaba
+	Exact Solution of a Family of Matrix Integral Equations for Multiply Scattered Partially Polarized Radiation. II	1970	J. Buell John L. Casti Robert E. Kalaba Sueo Ueno
+	Exact Solution of a Family of Integral Equations of Anisotropic Scattering	1970	H. Kagiwada Robert E. Kalaba
+	Invariant imbedding and the simplest problem in the calculus of variations	1970	Robert E. Kalaba R. Sridhar
+	SOME MATHEMATICAL ASPECTS OF MULTIPLE SCATTERING IN A FINITE INHOMOGENEOUS SLAB WITH ANISOTROPIC SCATTERING.	1970	S. Ueno Robert E. Kalaba H. Kagiwada Richard Bellman
+	Exact solution of Pontryagin's equations of optimal control?Part 1	1970	H. Kagiwada Robert E. Kalaba Y. Thomas
+	Proof of the basic invariant imbedding method for Fredholm integral equations with displacement kernels. part II	1970	John L. Casti Robert E. Kalaba
+	ONE SWEEP NUMERICAL METHOD FOR VECTOR-MATRIX DIFFERENCE EQUATIONS WITH TWO- POINT BOUNDARY CONDITIONS. Technical Report No. 70-16.	1970	Edward Angel Robert E. Kalaba
+	Proof of the basic invariant imbedding method for fredholm integral equations with displacement kernels. Part I	1970	John L. Casti Robert E. Kalaba
+	Numerical results for a mixed boundary-value problem of potential theory using invariant imbedding	1969	J. Buell Robert E. Kalaba Enrique H. Ruspini
+	Identification of parameters in nonlinear boundary-value problems	1969	Robert E. Kalaba Enrique H. Ruspini
+	Modern control theory and optimal drug regimens, I: the plateau effect	1969	J. Buell Roger W. Jelliffe Robert E. Kalaba R. Sridhar
+	Invariant imbedding and potential theory	1969	Robert E. Kalaba Enrique H. Ruspini
+	Optimal trajectories for quadratic variational processes via invariant imbedding	1969	H. Kagiwada Robert E. Kalaba
+	Numerical solutions of nonlinear differential equations	1969	Robert E. Kalaba
+	Reflection and transmission functions for finite isotropically scattering atmospheres with specular reflectors	1969	John L. Casti Robert E. Kalaba S. Ueno
+	Invariant imbedding and a class of variational problems	1969	John L. Casti Robert E. Kalaba B. J. Vereeke
+	Newton's Method for the Nonlinear Integral Equation for the H Function of Isotropic Scattering.	1969	H. H. Natsuyama Robert E. Kalaba
+	Estimating the Parameters of an Inhomogeneous Medium by Probing with Rays.	1969	John L. Casti D. M. Detchmendy H. H. Natsuyama Robert E. Kalaba
+ PDF Chat	A representation for the solution of Fredholm integral equations	1969	H. Kagiwada Robert E. Kalaba Alan Schumitzky
+	The invariant imbedding numerical method for Fredholm integral equations with displacement kernels	1969	John L. Casti H. Kagiwada Robert E. Kalaba
+	Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels &mdash; II	1969	John L. Casti Robert E. Kalaba
+	Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels &mdash; I	1969	John L. Casti Robert E. Kalaba
+	A Cauchy Method for an Integral Equation of Linearized Couette Flow	1969	John L. Casti Robert E. Kalaba D. R. Willis
+	The invariant imbedding numerical method for Fredholm integral equations with degenerate kernels	1968	H. Kagiwada Robert E. Kalaba B. J. Vereeke
+	Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems	1968	H. Kagiwada Robert E. Kalaba
+	Flux equivalences among Rayleigh, isotropic, and other scattering models	1968	H. Kagiwada Robert E. Kalaba R. Segerblom
+	Verification of the invariant imbedding method for certain Fredholm integral equations	1968	H. Kagiwada Robert E. Kalaba
+	Computation of the resolvent for the auxiliary equation of radiative transfer	1968	J. Buell H. Kagiwada Robert E. Kalaba A. McNabb Alan Schumitzky
+	An integral equation and a representation for a Green's function	1968	H. Kagiwada Robert E. Kalaba Alan Schumitzky R. Sridhar
+	On the identification of systems and the unscrambling of data III: One-dimensional wave and diffusion processes	1968	Richard Bellman D. M. Detchmendy H. Kagiwada Robert E. Kalaba
+	Cauchy and Fredholm methods for Euler equations	1968	H. Kagiwada Robert E. Kalaba Alan Schumitzky R. Sridhar
+ PDF Chat	Numerical Analysis: Quasilinearization and the estimation of differential operators from eigenvalues	1968	Richard Bellman H. Kagiwada Robert E. Kalaba R. Vasudevan
+	An initial-value method for Fredholm integral equations with displacement kernels: Reflection functions	1968	H. Kagiwada Robert E. Kalaba Alan Schumitzky
+	The equivalence of the isotropic and monodirectional source problems	1968	H. Kagiwada Robert E. Kalaba
+	A Cauchy Problem for Fredholm Integral Equations with Kernels of the Form k1(/t-y/) + k2(t+y).	1968	H. H. Natsuyama Robert E. Kalaba
+	INVARIANT IMBEDDING AND FREDHOLM INTEGRAL EQUATIONS WITH PINCHERLE-GOURSAT KERNELS,	1968	H. Kagiwada Robert E. Kalaba S. Ueno
+	A NEW PREDICTOR-CORRECTOR METHOD FOR QUASILINEAR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONS,	1968	John L. Casti H. Kagiwada Robert E. Kalaba
+	Invariant imbedding and fredholm integral equations with displacement kernels on an infinite interval	1968	H. H. Kagiuwada Robert E. Kalaba B. J. Vereeke
+	An initial value method for fredholm integral equations of convolution type<sup>*</sup>	1968	H. Kagiwada Robert E. Kalaba
+	Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels	1968	John L. Casti Robert E. Kalaba S. Ueno
+	Quasilinearization and Nonlinear Boundary-Value Problems.	1967	L. E. Payne Richard Bellman Robert E. Kalaba
+	Invariant Imbedding Equations for the Dissipation Functions of an Inhomogeneous Finite Slab with Anisotropic Scattering	1967	Richard Bellman H. Kagiwada Robert E. Kalaba S. Ueno
+	Numerical inversion of Laplace transforms	1967	Richard Bellman Robert E. Kalaba
+ PDF Chat	The invariant imbedding equation for the dissipation function of a homogeneous finite slab	1967	Richard Bellman H. Kagiwada Robert E. Kalaba S. Ueno
+	A practical method for determining Green's functions using Hadamard's variational formula	1967	H. Kagiwada Robert E. Kalaba
+	An initial-value method for Fredholm integral equations	1967	H. Kagiwada Robert E. Kalaba Alan Schumitzky
+	Numerical results for the estimation of source distributions from external radiation-field measurements	1967	R Bellan H. Kagiwada Robert E. Kalaba S. Ueno
+	Estimation of local anisotropic scattering properties using measurements of multiply scattered radiation	1967	H. Kagiwada Robert E. Kalaba
+	Dynamic programming and an inverse problem in transport theory	1967	R. Bellman H. Kagiwada Robert E. Kalaba
+	Quasilinearization and the estimation of time lags	1967	Richard Bellman H. Kagiwada Robert E. Kalaba
+	The calculation of Sobolev's ϕ function of radiative transfer via numerical inversion of Laplace transforms	1967	H. Kagiwada Robert E. Kalaba
+ PDF Chat	Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations	1967	Richard Bellman H. Kagiwada Robert E. Kalaba
+	MULTIPLE ANISOTROPIC SCATTERING IN SLABS WITH AXIALLY SYMMETRIC FIELDS	1967	H. Kagiwada Robert E. Kalaba
+	AN INITIAL-VALUE METHOD SUITABLE FOR THE COMPUTATION OF CERTAIN FREDHOLM RESOLVENTS,	1967	H. H. Natsuyama Robert E. Kalaba
+	DIRECT AND INVERSE PROBLEMS FOR INTEGRAL EQUATIONS VIA INITIAL-VALUE METHODS,	1967	H. H. Natsuyama Robert E. Kalaba
+	An Initial-value Method for Fredholm Integral Equations with Degenerate Kernels.	1967	H. H. Natsuyama Robert E. Kalaba Alan Schumitzky S. Ueno
+	Chandrasekhar's planetary problem with internal sources	1967	Richard Bellman H. Kagiwada Robert E. Kalaba Sueo Ueno
+	Quasilinearization & Nonlinear Boundary-Value Problems	1967	Jürgen Moser Richard Bellman Robert E. Kalaba
+	The invariant imbedding equations for the dissipation functions of an inhomogenous finite slab with anisotropic scattering [by] R. Bellman [and others]	1967	Richard Bellman S. Ueno H. H. Natsuyama Robert E. Kalaba
+	An Initial-value Method for General Fredholm Integral Equations.	1967	H. Kagiwada Robert E. Kalaba Alan Schumitzky
+	New Methods for the Solution of Partial Differential Equations	1967	Richard Bellman Robert E. Kalaba
+	Invariant imbedding and radiative transfer in spherical shells	1966	Richard Bellman H. Kagiwada Robert E. Kalaba
+ PDF Chat	Mathematical experimentation in time-lag modulation	1966	Richard Bellman J. Buell Robert E. Kalaba
+ PDF Chat	Numerical Inversion of Laplace Transforms and Some Inverse Problems in Radiative Transfer	1966	Richard Bellman H. Kagiwada Robert E. Kalaba
+	Invariant imbedding and scattering of light in a one-dimensional medium with a moving boundary	1966	Richard Bellman Robert E. Kalaba Sueo Ueno
+	On the computational solution of an equation arising in chemotherapy using numerical inversion of the Laplace transform	1966	R. Bellman J. Buell Robert E. Kalaba Jo Ann Lockett
+	Numerical results for the auxiliary equation of radiative transfer	1966	Richard Bellman H. Kagiwada Robert E. Kalaba
+	Inverse problems in ecology	1966	Richard Bellman H. Kagiwada Robert E. Kalaba
+ PDF Chat	Invariant Imbedding and a Reformulation of the Internal Intensity Problem in Radiative Transfer Theory	1966	Richard Bellman H. Kagiwada Robert E. Kalaba Dominic G. B. Edelen
+	<i>Quasilinearization and Nonlinear Boundary-Layer Problems</i>	1966	Richard Bellman Robert E. Kalaba T. Teichmann
+	Adaptive control via quasilinearization and differential approximation	1966	Richard Bellman Robert E. Kalaba R. Sridhar
+	Dynamic Programming and Modern Control Theory	1966	Richard Bellman Robert E. Kalaba
+	Time-dependent diffuse reflection from slabs with multiple scattering	1966	Richard Bellman H. Kagiwada Robert E. Kalaba
+ PDF Chat	Estimation of internal source distributions using external field measurements in radiative transfer	1966	Richard Bellman H. Kagiwada Robert E. Kalaba
+	Initial value methods for the basic boundary value problem and integral equation of radiative transfer	1966	H. H. Natsuyama Robert E. Kalaba
+	SENSITIVITY ANALYSIS AND INVARIANT IMBEDDING	1966	R. Bellman Robert E. Kalaba R. Sridhar
+	Invariant imbedding and the computation of internal fields for transport processes	1965	Richard Bellman H. Kagiwada Robert E. Kalaba Sueo Ueno
+ PDF Chat	ON A NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF PARTIAL DIFFERENTIAL INTEGRAL EQUATIONS OF TRANSPORT THEORY	1965	Richard Bellman Robert E. Kalaba
+	Computational Results for Diffuse Transmission and Reflection for Homogeneous Finite Slabs with Isotropic Scattering.	1965	Richard Bellman H. H. Natsuyama Robert E. Kalaba S. Ueno
+ PDF Chat	Nonlinear extrapolation and two-point boundary value problems	1965	Richard Bellman H. Kagiwada Robert E. Kalaba
+	Numerical estimation of derivatives with an application to radiative transfer in spherical shells	1965	Richard Bellman H. Kagiwada Robert E. Kalaba
+ PDF Chat	Numerical integration of a differential-difference equation with a decreasing time-lag	1965	Richard Bellman J. Buell Robert E. Kalaba
+	Existence and uniqueness theorems in invariant imbedding—I conservation principles	1965	Richard Bellman K. L. Cooke Robert E. Kalaba G. Milton Wing
+	QUASILINEARIZATION, INVARIANT IMBEDDING, AND THE CALCULATION OF EIGENVALUES,	1965	Richard Bellman H. H. Natsuyama Robert E. Kalaba
+	ANALYTICAL AND COMPUTATIONAL TECHNIQUES FOR MULTIPLE SCATTERING IN INHOMOGENEOUS FINITE SLABS	1965	Richard Bellman H. Kagiwada Robert E. Kalaba Sueo Ueno
+	ALTERNATIVE TECHNIQUES FOR THE INVARIANT IMBEDDING OF RAREFIED COUETTE FLOWS	1965	Jerry Aroesty Richard Bellman Robert E. Kalaba Satoshi Ueno
+	INVARIANT IMBEDDING AND A REFORMULATION OF THE INTERNAL INTENSITY PROBLEM IN TRANSPORT THEORY	1965	Richard Bellman H. H. Natsuyama Robert E. Kalaba
+	Quasilinearization and nonlinear boundary-value problems	1965	Richard Bellman Robert E. Kalaba
+	Invariant imbedding and time-dependent scattering of light in a one-dimensional medium	1964	Richard Bellman Robert E. Kalaba Sueo Ueno
+	Sensitivity analysis and invariant imbedding	1964	R. Bellman Robert E. Kalaba R. Sridhar
+ PDF Chat	Differential Approximation Applied to the Solution of Convolution Equations	1964	Richard Bellman Robert E. Kalaba Bella Kotkin
+	Operational Methods for Linear Systems.	1964	Robert E. Kalaba Wilfred Kaplan
+	An invariant imbedding approach to rarefied couette flows	1964	Jerry Aroesty Richard Bellman H. Kagiwada Robert E. Kalaba
+	Invariant Imbedding and Time-Dependent Transport Processes-Diffuse Reflection with Delta-Function Input	1964	Richard Bellman H. H. Natsuyama Robert E. Kalaba
+	DYNAMIC PROGRAMMING, INVARIANT IMBEDDING AND QUASILINEARIZATION: COMPARISONS AND INTERCONNECTIONS	1964	R. Bellman Robert E. Kalaba
+	Numerical Solution of Functional Equations by Means of Laplace Transform--V: Mismatched Systems of Linear Differential Equations	1964	Richard Bellman Robert E. Kalaba Jo Ann Lockett
+	Application of a New Approach to the Computational Solution of a System of Two Non-linear Partial Differential Equations.	1964	Richard Bellman Robert E. Kalaba Bella Kotkin
+ PDF Chat	Differential approximation applied to the solution of convolution equations	1964	Richard Bellman Robert E. Kalaba Bella Kotkin
+	Numerical Solution of Functional Equations by Means of Laplace Transform: III : The Diffusion Equation	1964	Richard Bellman Robert E. Kalaba Jo Ann Lockett
+	Invariant imbedding and time-dependent diffuse reflection of a pencil of radiation by a finite inhomogeneous flat layer—I	1963	Richard Bellman Robert E. Kalaba Sueo Ueno
+	On the diffuse reflection of parallel rays by an inhomogeneous flat layer as a limiting process	1963	Richard Bellman Robert E. Kalaba Sueo Ueno
+ PDF Chat	INVARIANT IMBEDDING AND RAREFIED GAS DYNAMICS	1963	Jerry Aroesty Richard Bellman Robert E. Kalaba S. Ueno
+	A note on nonlinear summability techniques in invariant imbedding	1963	Richard Bellman Robert E. Kalaba
+ PDF Chat	A note on Hamilton’s equations and invariant imbedding	1963	Richard Bellman Robert E. Kalaba
+	Numerical Solution of Functional Equations by Means of Laplace Transform--I : Renewal Equation.	1963	Richard Bellman Robert E. Kalaba Jo Ann Lockett
+	A mathematical model of drug distribution in the body; implications for cancer chemotherapy [by] Richard Bellman [and others]	1963	Richard Bellman John A. Jacquez Robert E. Kalaba Bella Kotkin
+ PDF Chat	Polynomial approximation—a new computational technique in dynamic programming: Allocation processes	1963	Richard Bellman Robert E. Kalaba Bella Kotkin
+	Some Aspects of Quasilinearization	1963	Robert E. Kalaba
+ PDF Chat	ON A NEW APPROACH TO THE COMPUTATIONAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS	1962	Richard Bellman Robert E. Kalaba Bella Kotkin
+	A note on perturbation series for the periods of solutions of nonlinear differential equations	1962	Richard Bellman Robert E. Kalaba R. Vasudevan
+	Modern mathematics, magical computers, and a cornucopia of applications:: computational solution of nonlinear boundary value problems via quasilinearization	1962	Richard Bellman Robert E. Kalaba
+	Invariant Imbedding and Diffuse Reflection of Radiation Due to a Distributed Point Source--I and II.	1962	Richard Bellman Robert E. Kalaba S. Ueno
+	Invariant imbedding and diffuse reflection from a two-dimensional flat layer	1962	Richard Bellman Robert E. Kalaba Sueo Ueno
+	Invariant imbedding and time-dependent diffuse reflection by a finite inhomogeneous atmosphere	1962	Richard Bellman Robert E. Kalaba Sueo Ueno
+	Polynomial approximation: a new computational technique in dynamic programming: I: allocation processes	1962	Richard Bellman Robert E. Kalaba Bella Kotkin
+	PROBLEM AND QUASILINEARIZATION	1962	H. Kagiwada Robert E. Kalaba
+	Invariant Imbedding and Diffuse Reflection of Radiation from a Collimated Point Source--III.	1962	Richard Bellman Robert E. Kalaba S. Ueno
+	Dynamic Programming, Fermat’s Principle, and the Eikonal Equation	1961	Robert E. Kalaba
+ PDF Chat	Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems	1961	Richard Bellman M. L. Juncosa Robert E. Kalaba
+	Mathematical Models of Chemotherapy	1961	Richard Bellman John A. Jacquez Robert E. Kalaba
+	DYNAMIC PROGRAMING AND THE VARIATIONAL PRINCIPLES OF CLASSICAL AND STATISTICAL MECHANICS	1961	Robert E. Kalaba
+	Transport theory and invariant imbedding	1961	Richard Bellman Robert E. Kalaba
+	Some mathematical aspects of chemotherapy: I. One-organ models	1960	Richard Bellman John A. Jacquez Robert E. Kalaba
+ PDF Chat	Invariant Imbedding and Neutron Transport Theory V-Diffusion as a Limiting Case	1960	Richard Bellman Robert E. Kalaba G. Wing
+	On adaptive control processes	1959	Richard Bellman Robert E. Kalaba
+	Functional equations in adaptive processes and random transmission	1959	Richard Bellman Robert E. Kalaba
+ PDF Chat	Functional Equations, Wave Propagation and Invariant Imbedding	1959	Richard Bellman Robert E. Kalaba
+ PDF Chat	On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence	1959	Robert E. Kalaba
+	Transport theory and invariant imbedding.	1959	Richard Bellman Robert E. Kalaba
+ PDF Chat	On the Principle of Invariant Imbedding and Neutron Transport Theory. I-One-Dimensional Case	1958	Richard Bellman Robert E. Kalaba G. Wing
+	RANDOM WALK, SCATTERING, AND INVARIANT IMBEDDING I. ONE-DIMENSIONAL DISCRETE CASE	1957	Richard Bellman Robert E. Kalaba
+	On the role of dynamic programming in statistical communication theory	1957	Richard Bellman Robert E. Kalaba
+	Optimal Design and Utilization of Communication Networks	1956	Robert E. Kalaba M. L. Juncosa

Common Coauthors

Coauthor	Papers Together
H. Kagiwada	76
Richard Bellman	73
Leigh Tesfatsion	27
K. Spingarn	26
John L. Casti	19
H. H. Natsuyama	19
S. Ueno	19
Sueo Ueno	13
E. Zagustin	12
Nima Rasakhoo	11
J. Buell	11
Asher Tishler	9
Melvin R. Scott	8
Alan Schumitzky	8
R. Sridhar	7
Bella Kotkin	7
Anthony S. Wexler	5
Donald J. Marsh	5
Enrique H. Ruspini	5
Jo Ann Lockett	4
R. Huß	4
James D. Hess	3
B. J. Vereeke	3
Firdaus E. Udwadia	3
R. Bellman	3
Jerry Aroesty	3
John A. Jacquez	3
R. Vasudevan	3
M. L. Juncosa	2
R. Bellman	2
D. R. Willis	2
G. Wing	2
A. L. Fymat	2
Yueyue Fan	2
D. M. Detchmendy	2
Edward Angel	2
Chris P. Tsokos	2
Rongxing Xu	2
Jia Song Wang	2
Rong Xu	1
G. Milton Wing	1
J. M. Richardson	1
K. L. Cooke	1
R Bellan	1
Kenneth D. Mease	1
Steve Timko	1
R. Segerblom	1
Leigh Tesfatsmn	1
Jeffrey D. Johnson	1
Thomas Plum	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Quasilinearization and nonlinear boundary-value problems	1965	Richard Bellman Robert E. Kalaba	27
+	An initial value method for fredholm integral equations of convolution type<sup>*</sup>	1968	H. Kagiwada Robert E. Kalaba	16
+	Numerical results for the auxiliary equation of radiative transfer	1966	Richard Bellman H. Kagiwada Robert E. Kalaba	16
+	The Mathematics of Radiative Transfer	1960	I. W. Busbridge	16
+	AN INITIAL-VALUE METHOD SUITABLE FOR THE COMPUTATION OF CERTAIN FREDHOLM RESOLVENTS,	1967	H. H. Natsuyama Robert E. Kalaba	13
+	Verification of the invariant imbedding method for certain Fredholm integral equations	1968	H. Kagiwada Robert E. Kalaba	12
+	Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems	1968	H. Kagiwada Robert E. Kalaba	12
+ PDF Chat	On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence	1959	Robert E. Kalaba	12
+ PDF Chat	Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations	1967	Richard Bellman H. Kagiwada Robert E. Kalaba	12
+	The invariant imbedding numerical method for Fredholm integral equations with degenerate kernels	1968	H. Kagiwada Robert E. Kalaba B. J. Vereeke	11
+	Approximate Methods for Solution of Differential and Integral Equations	1970	W. G. S. G. Mikhilin K. L. Smolitskiy	9
+	An initial-value method for Fredholm integral equations	1967	H. Kagiwada Robert E. Kalaba Alan Schumitzky	9
+	Dynamic Programming and Modern Control Theory	1966	Richard Bellman Robert E. Kalaba	8
+	Invariant imbedding and potential theory	1969	Robert E. Kalaba Enrique H. Ruspini	7
+	Invariant imbedding and the computation of internal fields for transport processes	1965	Richard Bellman H. Kagiwada Robert E. Kalaba Sueo Ueno	7
+	Proof of the basic invariant imbedding method for fredholm integral equations with displacement kernels. Part I	1970	John L. Casti Robert E. Kalaba	7
+	Invariant imbedding and a class of variational problems	1969	John L. Casti Robert E. Kalaba B. J. Vereeke	7
+	Nonlinear least squares via automatic derivative evaluation	1983	Robert E. Kalaba Nima Rasakhoo Asher Tishler	7
+	An initial-value method for Fredholm integral equations with displacement kernels: Reflection functions	1968	H. Kagiwada Robert E. Kalaba Alan Schumitzky	7
+	Proof of the basic invariant imbedding method for Fredholm integral equations with displacement kernels. part II	1970	John L. Casti Robert E. Kalaba	6
+	Transport theory and invariant imbedding.	1959	Richard Bellman Robert E. Kalaba	6
+	Reflection and transmission functions for finite isotropically scattering atmospheres with specular reflectors	1969	John L. Casti Robert E. Kalaba S. Ueno	6
+	Automatic solution of optimal control problems III: Differential and integral constraints	1984	Robert E. Kalaba K. Spingarn	6
+	The Numerical Treatment of Differential Equations	1960	Lothar Collatz	6
+	The invariant imbedding numerical method for Fredholm integral equations with displacement kernels	1969	John L. Casti H. Kagiwada Robert E. Kalaba	6
+	A practical method for determining Green's functions using Hadamard's variational formula	1967	H. Kagiwada Robert E. Kalaba	6
+	Analysis of Linear Integral Equations	1973	Peter Linz James Alan Cochran	6
+	Reduction of Fredholm integral equations to cauchy systems	1972	Robert E. Kalaba E. Zagustin	6
+	A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables	1983	Robert E. Kalaba Leigh Tesfatsion J.-L. Wang	6
+	A generalized Newton algorithm using higher-order derivatives	1983	Robert E. Kalaba Asher Tishler	5
+	Solving Least Squares Problems	1995	C. L. Lawson Richard Hanson	5
+	Computation of the resolvent for the auxiliary equation of radiative transfer	1968	J. Buell H. Kagiwada Robert E. Kalaba A. McNabb Alan Schumitzky	5
+	An initial value method for integral operators: I-complex eigenvalues	1973	Robert E. Kalaba Melvin R. Scott	5
+ PDF Chat	Invariant Imbedding and a Reformulation of the Internal Intensity Problem in Radiative Transfer Theory	1966	Richard Bellman H. Kagiwada Robert E. Kalaba Dominic G. B. Edelen	5
+	Computer solution of ordinary differential equations : the initial value problem	1975	L. F. Shampine Marilyn K. Gordon	4
+	Solving Least Squares Problems.	1977	Robert F. Ling C. L. Lawson Richard Hanson	4
+	Nonlinear Methods in Econometrics.	1973	Jon Stewart Stephen M. Goldfeld Richard E. Quandt	4
+	Invariant imbedding and time-dependent diffuse reflection by a finite inhomogeneous atmosphere	1962	Richard Bellman Robert E. Kalaba Sueo Ueno	4
+ PDF Chat	Complete comparative static differential equations	1981	Robert E. Kalaba Leigh Tesfatsion	4
+ PDF Chat	Estimation of internal source distributions using external field measurements in radiative transfer	1966	Richard Bellman H. Kagiwada Robert E. Kalaba	4
+	A Computer program to minimize a function with many variables using computer evaluated exact higher-order derivatives	1983	Robert E. Kalaba Asher Tishler	4
+ PDF Chat	FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. V. POSITIVITY AND QUASI-LINEARITY	1955	Richard Bellman	4
+	Cauchy and Fredholm methods for Euler equations	1968	H. Kagiwada Robert E. Kalaba Alan Schumitzky R. Sridhar	4
+ PDF Chat	An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels	1970	H. Kagiwada Robert E. Kalaba	4
+	Numerical experiments using Sukhanov's initial- value method for nonlinear two-point boundary value problems—III	1984	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn	4
+	Comparison of Kinetic Theory Analyses of Linearized Couette Flow	1962	D. R. Willis	4
+ PDF Chat	A representation for the solution of Fredholm integral equations	1969	H. Kagiwada Robert E. Kalaba Alan Schumitzky	4
+ PDF Chat	DIFFERENTIAL-DIFFERENCE EQUATIONS	1987	Kenneth L. Cooke	3
+	Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary value problems	1984	H. Kagiwada Robert E. Kalaba Nima Rasakhoo K. Spingarn	3
+	On the diffuse reflection of parallel rays by an inhomogeneous flat layer as a limiting process	1963	Richard Bellman Robert E. Kalaba Sueo Ueno	3