Homer F. Walker

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All published works

Action	Title	Year	Authors
+	Anderson acceleration and application to the three-temperature energy equations	2017	Hengbin An Xiaowei Jia Homer F. Walker
+ PDF Chat	Accelerating the Uzawa Algorithm	2017	Nguyenho Ho Sarah D. Olson Homer F. Walker
+	Accelerating the Uzawa Algorithm	2015	Nguyenho Ho Sarah D. Olson Homer F. Walker
+	An accelerated Picard method for nonlinear systems related to variably saturated flow	2012	P. Aaron Lott Homer F. Walker Carol S. Woodward Ulrike Meier Yang
+	Anderson Acceleration for Fixed-Point Iterations	2011	Homer F. Walker Peng Ni
+	AN ACCELERATED FIXED-POINT ITERATION FOR SOLUTION OF VARIABLY SATURATED FLOW	2010	Homer F. Walker Carol S. Woodward Ulrike Meier Yang
+	A Linearly Constrained Least-Squares Problem in \\ Electronic Structure Computations	2008	Peng Ni Homer F. Walker
+	Inexact Newton Dogleg Methods	2008	Roger P. Pawlowski Joseph P. Simonis Homer F. Walker John N. Shadid
+ PDF Chat	On Using Approximate Finite Differences in Matrix-Free Newton–Krylov Methods	2008	Peter N. Brown Homer F. Walker Rebecca Wasyk Carol S. Woodward
+	Globalization Techniques for Newton–Krylov Methods and Applications to the Fully Coupled Solution of the Navier–Stokes Equations	2006	Roger P. Pawlowski John N. Shadid Joseph P. Simonis Homer F. Walker
+	Inexact Newton dogleg methods.	2005	John N. Shadid Joseph P. Simonis Roger P. Pawlowski Homer F. Walker
+ PDF Chat	On Backtracking Failure in Newton–GMRES Methods with a Demonstration for the Navier–Stokes Equations	2002	Raymond S. Tuminaro Homer F. Walker John N. Shadid
+	An Adaptation of Krylov Subspace Methods to Path Following Problems	1999	Homer F. Walker
+	NITSOL: A Newton Iterative Solver for Nonlinear Systems	1998	Michael Pernice Homer F. Walker
+ PDF Chat	Algorithm 777: HOMPACK90	1997	Layne T. Watson Maria Sosonkina Robert Melville Alexander P. Morgan Homer F. Walker
+	Iterative methods for large scale nonlinear and linear systems. Final report, 1994--1996	1997	Homer F. Walker
+	An adaptation of Krylov subspace methods to path following	1996	Homer F. Walker
+	Choosing the Forcing Terms in an Inexact Newton Method	1996	Stanley C. Eisenstat Homer F. Walker
+	Newton iterative methods for large scale nonlinear systems. Final report, August 1992--July 1994	1995	Homer F. Walker Kathryn L. Turner
+	A simpler GMRES	1994	Homer F. Walker Lu Zhou
+ PDF Chat	Globally Convergent Inexact Newton Methods	1994	Stanley C. Eisenstat Homer F. Walker
+ PDF Chat	Residual Smoothing Techniques for Iterative Methods	1994	Lu Zhou Homer F. Walker
+	Newton iterative methods for large scale nonlinear systems. Progress report, 1992--1993	1993	Homer F. Walker Kathryn L. Turner
+	Newton iterative methods for large scale nonlinear systems	1993	Homer F. Walker Kathryn L. Turner
+	Efficient High Accuracy Solutions with ${\text{GMRES}}(m)$	1992	Kathryn L. Turner Homer F. Walker
+ PDF Chat	Preconditioned Iterative Methods for Homotopy Curve Tracking	1992	Colin Desa Kashmira M. Irani Calvin J. Ribbens Layne T. Watson Homer F. Walker
+	Efficient High Accuracy Solutions with GMRES(m).	1992	Kathryn L. Turner Homer F. Walker
+ PDF Chat	Experiments with Conjugate Gradient Algorithms for Homotopy Curve Tracking	1991	Kashmira M. Irani Manohar P. Kamat Calvin J. Ribbens Homer F. Walker Layne T. Watson
+	Numerical solution of nonlinear algebraic equations in stiff ODE solving (1986--89)---Quasi-Newton updating for large scale nonlinear systems (1989--90). Final report, 1986--1990	1990	Homer F. Walker
+ PDF Chat	Least-Change Secant Updates of Nonsquare Matrices	1990	Samih K. Bourji Homer F. Walker
+ PDF Chat	Least-Change Secant Update Methods for Underdetermined Systems	1990	Homer F. Walker Layne T. Watson
+	Numerical solution of nonlinear algebraic equations in stiff ODE solving (1986--89)---Quasi-Newton updating for large scale nonlinear systems (1989--90)	1990	Homer F. Walker
+	Fast Algorithms for Estimating Mixture Parameters	1989	Homer F. Walker Michael P. Windham
+ PDF Chat	Asymptotics of Solute Dispersion in Periodic Porous Media	1989	Ritwik Bhattacharya Vijay K. Gupta Homer F. Walker
+	Note on a Householder implementation of the GMRES method	1986	A.C. Hindmarsh Homer F. Walker
+ PDF Chat	Experiments with Quasi-Newton Methods in Solving Stiff ODE Systems	1985	Peter N. Brown A.C. Hindmarsh Homer F. Walker
+	Mixture Densities, Maximum Likelihood and the EM Algorithm	1984	Richard A. Redner Homer F. Walker
+ PDF Chat	Inaccuracy in quasi-Newton methods: Local improvement theorems	1984	J. E. Dennis Homer F. Walker
+	Erratum: Convergence Theorems for Least-Change Secant Update Methods	1982	J. E. Dennis Homer F. Walker
+	Mixture densities, maximum likelihood, and the EM algorithm	1982	Richard A. Redner Homer F. Walker
+ PDF Chat	Convergence Theorems for Least-Change Secant Update Methods	1981	J. E. Dennis Homer F. Walker
+	Estimating the proportions of two populations in a mixture using linear maps	1980	Homer F. Walker
+	LLL-UHMLE: maximum likelihood estimates for the general normal mixture, preliminary user's guide. [In FORTRAN for CDC 7600]	1979	F.N. Fritsch Homer F. Walker
+	Local Convergence Theorems for Quasi-Newton Methods	1979	J. E. Dennis Homer F. Walker
+ PDF Chat	The Numerical Evaluation of the Maximum-Likelihood Estimate of a Subset of Mixture Proportions	1978	B. C. Peters Homer F. Walker
+ PDF Chat	An Iterative Procedure for Obtaining Maximum-Likelihood Estimates of the Parameters for a Mixture of Normal Distributions	1978	B. C. Peters Homer F. Walker
+	Sample-moment estimates for the mean vector and the covariance matrix for a sample of incomplete data vectors	1978	Homer F. Walker
+	Quasi-Newton Methods	1978	Homer F. Walker
+ PDF Chat	Strong ellipticity and Van Hove’s lemma in inhomogeneous media	1977	Homer F. Walker
+	Some remarks on the local energy decay of solutions of the initial-boundary value problem for the wave equation in unbounded domains	1977	Homer F. Walker
+	On the null-spaces of partially elliptic operators of a certain type	1976	James A. LaVita Homer F. Walker
+	The numerical evaluation of maximum-likelihood estimates of the parameters for a mixture of normal distributions from partially identified samples	1976	Homer F. Walker
+ PDF Chat	On Minimizing the Probability of Misclassification for Linear Feature Selection	1975	L. F. Guseman B. C. Peters Homer F. Walker
+	Some qualitative remarks on the variation of the probability of error	1974	Homer F. Walker
+	The null spaces of elliptic partial differential operators in Rn	1973	Louis Nirenberg Homer F. Walker
+	On the Estimation of the L 2 -Norm of a Function Over a Bounded Subset of R n	1973	Homer F. Walker
+ PDF Chat	On the estimation of the 𝐿₂-norm of a function over a bounded subset of 𝑅ⁿ	1973	Homer F. Walker
+	A Fredholm theory for elliptic partial differential operators in 𝑅ⁿ	1973	Homer F. Walker
+	On the Null-Spaces of Elliptic Partial Differential Operators in R n	1972	Homer F. Walker
+ PDF Chat	A Fredholm Theory for a Class of First-Order Elliptic Partial Differential Operators in R n	1972	Homer F. Walker
+ PDF Chat	On the null-spaces of elliptic partial differential operators in 𝑅ⁿ	1972	Homer F. Walker
+ PDF Chat	A Fredholm theory for a class of first-order elliptic partial differential operators in ${\bf R}\sp{n}$	1972	Homer F. Walker
+	On the Null-Spaces of First-Order Elliptic Partial Differential Operators in R n	1971	Homer F. Walker

Common Coauthors

Coauthor	Papers Together
Kathryn L. Turner	5
John N. Shadid	4
Layne T. Watson	4
Roger P. Pawlowski	3
Carol S. Woodward	3
B. C. Peters	3
Joseph P. Simonis	3
J. E. Dennis	2
Peng Ni	2
Stanley C. Eisenstat	2
Calvin J. Ribbens	2
Richard A. Redner	2
Ulrike Meier Yang	2
Kashmira M. Irani	2
Nguyenho Ho	2
Lu Zhou	2
Sarah D. Olson	2
Peter N. Brown	2
A.C. Hindmarsh	2
P. Aaron Lott	1
Xiaowei Jia	1
Maria Sosonkina	1
Michael Pernice	1
Ritwik Bhattacharya	1
L. F. Guseman	1
Robert Melville	1
J. E. Dennis	1
James A. LaVita	1
Michael P. Windham	1
Louis Nirenberg	1
Raymond S. Tuminaro	1
Rebecca Wasyk	1
Colin Desa	1
Hengbin An	1
Samih K. Bourji	1
Vijay K. Gupta	1
J. E. Dennis	1
Manohar P. Kamat	1
Alexander P. Morgan	1
F.N. Fritsch	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems	1986	Yousef Saad Martin H. Schultz	17
+	Numerical Methods for Unconstrained Optimization and Nonlinear Equations	1996	J. E. Dennis Robert B. Schnabel	12
+	Inexact Newton Methods	1982	Ron S. Dembo Stanley C. Eisenstat Trond Steihaug	10
+	Hybrid Krylov Methods for Nonlinear Systems of Equations	1990	Peter N. Brown Yousef Saad	8
+ PDF Chat	Krylov subspace methods for solving large unsymmetric linear systems	1981	Yousef Saad	7
+	Iterative Solution of Nonlinear Equations in Several Variables	1971	E. I. J. M. Ortega Werner C. Rheinboldt	7
+	Choosing the Forcing Terms in an Inexact Newton Method	1996	Stanley C. Eisenstat Homer F. Walker	7
+ PDF Chat	Iterative Procedures for Nonlinear Integral Equations	1965	Donald G. Anderson	6
+	Iterative solution of linear systems	1992	Roland W. Freund Gene H. Golub Noël M. Nachtigal	6
+	Iterative Solution of Nonlinear Equations in Several Variables	2000	J. M. Ortega Werner C. Rheinboldt	6
+ PDF Chat	Globally Convergent Inexact Newton Methods	1994	Stanley C. Eisenstat Homer F. Walker	6
+ PDF Chat	A class of methods for solving nonlinear simultaneous equations	1965	C. G. Broyden	6
+ PDF Chat	Algorithm 652	1987	Layne T. Watson Stephen C. Billups Alexander P. Morgan	6
+	On the Null-Spaces of First-Order Elliptic Partial Differential Operators in R n	1971	Homer F. Walker	6
+	Jacobian-free Newton–Krylov methods: a survey of approaches and applications	2003	D. A. Knoll David E. Keyes	5
+ PDF Chat	Two classes of multisecant methods for nonlinear acceleration	2008	Haw‐ren Fang Yousef Saad	5
+ PDF Chat	Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]	1979	Paul N. Swarztrauber Roland A. Sweet	5
+	Numerical Methods for Unconstrained Optimization and Nonlinear Equations.	1985	Robert E. Kass J. E. Dennis Robert B. Schnabel	5
+	Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems	1992	H.A. van der Vorst	5
+ PDF Chat	Convergence Theorems for Least-Change Secant Update Methods	1981	J. E. Dennis Homer F. Walker	4
+	Anderson Acceleration for Fixed-Point Iterations	2011	Homer F. Walker Peng Ni	4
+ PDF Chat	The numerical evaluation of the maximum-likelihood estimate of mixture proportions	1976	Charles M. Peters W. A. Coberly	4
+	NITSOL: A Newton Iterative Solver for Nonlinear Systems	1998	Michael Pernice Homer F. Walker	4
+	A globally convergent algorithm for computing fixed points of C2 maps	1979	Layne T. Watson	4
+	An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems	1979	Layne T. Watson	4
+ PDF Chat	Preconditioned Iterative Methods for Homotopy Curve Tracking	1992	Colin Desa Kashmira M. Irani Calvin J. Ribbens Layne T. Watson Homer F. Walker	4
+ PDF Chat	Least Change Secant Updates for Quasi-Newton Methods	1979	J. E. Dennis R. B. Schnabel	4
+ PDF Chat	Numerical Linear Algebra Aspects of Globally Convergent Homotopy Methods	1986	Layne T. Watson	4
+ PDF Chat	Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of <i>C</i> <sup>2</sup> Maps [C5]	1980	Layne T. Watson Dan Fenner	4
+ PDF Chat	Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems	1985	Roland Glowinski Herbert B. Keller Laure Reinhart	4
+	Iterative methods for linear and nonlinear equations	1996	C. T. Kelley	4
+ PDF Chat	Solving Finite Difference Approximations to Nonlinear Two-Point Boundary Value Problems by a Homotopy Method	1980	Layne T. Watson	3
+ PDF Chat	A Rapidly Convergent Descent Method for Minimization	1963	R. Fletcher M. J. D. Powell	3
+ PDF Chat	Least-Change Secant Updates of Nonsquare Matrices	1990	Samih K. Bourji Homer F. Walker	3
+	Computer methods for mathematical computations	1977	George E. Forsythe Michael A. Malcolm C Moler	3
+ PDF Chat	Experiments with Conjugate Gradient Algorithms for Homotopy Curve Tracking	1991	Kashmira M. Irani Manohar P. Kamat Calvin J. Ribbens Homer F. Walker Layne T. Watson	3
+ PDF Chat	Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method	1987	Layne M. Watson Melvin R. Scott	3
+ PDF Chat	Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian	1970	Ludwig Schubert	3
+	Efficient High Accuracy Solutions with ${\text{GMRES}}(m)$	1992	Kathryn L. Turner Homer F. Walker	3
+ PDF Chat	Globally convergent homotopy algorithms for nonlinear systems of equations	1990	Layne T. Watson	3
+ PDF Chat	On sparse and symmetric matrix updating subject to a linear equation	1977	Philippe L. Toint	3
+	HOMPACK: A Suite of Codes for Globally Convergent Homotopy Algorithms	1990	Layne T. Watson Stephen C. Billups Alexander P. Morgan	3
+	Variational Iterative Methods for Nonsymmetric Systems of Linear Equations	1983	Stanley C. Eisenstat Howard C. Elman Martin H. Schultz	3
+ PDF Chat	Solving Galerkin Approximations to Nonlinear Two-Point Boundary Value Problems by a Globally Convergent Homotopy Method	1987	Layne T. Watson L. Ridgway Scott	3
+ PDF Chat	Quasi-Newton Methods, Motivation and Theory	1977	J. E. Dennis Jorge J. Morè	3
+	Truncated-Newton algorithms for large-scale unconstrained optimization	1983	Ron S. Dembo Trond Steihaug	3
+	Iterative Methods for Solving Bordered Systems with Applications to Continuation Methods	1985	Tony F. Chan Yousef Saad	3
+	Solving Polynominal Systems Using Continuation for Engineering and Scientific Problems	2009	Alexander P. Morgan	3
+ PDF Chat	The convergence of an algorithm for solving sparse nonlinear systems	1971	C. G. Broyden	3
+	Numerical analysis of parametrized nonlinear equations	1986	Werner C. Rheinboldt	3