J. M. Varah

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All published works

Action	Title	Year	Authors
+ PDF Chat	Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices	2016	Chen Greif Christopher C. Paige David Titley-Péloquin J. M. Varah
+ PDF Chat	The power and Arnoldi methods in an algebra of circulants	2012	David F. Gleich Chen Greif J. M. Varah
+	The power and Arnoldi methods in an algebra of circulants	2011	David F. Gleich Chen Greif J. M. Varah
+	The power and Arnoldi methods in an algebra of circulants.	2011	David F. Gleich Chen Greif J. M. Varah
+	The power and Arnoldi methods in an algebra of circulants	2011	David F. Gleich Chen Greif J. M. Varah
+	Minimizing the Condition Number for Small Rank Modifications	2006	Chen Greif J. M. Varah
+	An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems	2005	Gene H. Golub Chen Greif J. M. Varah
+	Positive definite Hankel matrices of minimal condition	2003	J. M. Varah
+	<title>Shape reconstruction from moments: theory, algorithms, and applications</title>	2000	Peyman Milanfar Mihai Putinar J. M. Varah Bjoern Gustafsson Gene H. Golub
+	Block Stationary Methods for Nonsymmetric Cyclically Reduced Systems Arising from Three-Dimensional Elliptic Equations	1999	Chen Greif J. M. Varah
+	Iterative Solution of Cyclically Reduced Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation	1998	Chen Greif J. M. Varah
+	The prolate matrix	1993	J. M. Varah
+	On the conditioning of parameter estimation problems	1990	J. M. Varah
+	Relative Sizes of the Hessian Terms in Nonlinear Parameter Estimation	1990	J. M. Varah
+	On Fitting Exponentials by Nonlinear Least Squares	1985	J. M. Varah
+	Computational methods in linear algebra	1984	J. M. Varah
+	Pitfalls in the Numerical Solution of Linear Ill-Posed Problems	1983	J. M. Varah
+	Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations	1980	J. M. Varah
+	Stiff Stability Considerations for Implicit Runge-Kutta Methods	1980	J. M. Varah
+	Optimal Harvesting of a Randomly Fluctuating Resource. II: Numerical Methods and Results	1979	Donald Ludwig J. M. Varah
+	On the Separation of Two Matrices	1979	J. M. Varah
+	A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems	1979	J. M. Varah
+ PDF Chat	On the efficient implementation of implicit Runge-Kutta methods	1979	J. M. Varah
+	Stiffly Stable Linear Multistep Methods of Extended Order	1978	J. M. Varah
+	On the Efficent Implementation of Implicit Runge-Kutta Methods	1978	J. M. Varah
+ PDF Chat	Numerical methods for the solution of ordinary differential equations	1978	J. M. Varah
+	On the Stability of Boundary Conditions for Separable Difference Approximations to Parabolic Equations	1977	J. M. Varah
+	Alternate Row and Column Elimination for Solving Certain Linear Systems	1976	J. M. Varah
+	A lower bound for the smallest singular value of a matrix	1975	J. M. Varah
+	A TALE OF TWO METHODS FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS	1975	J. M. Varah
+ PDF Chat	A Comparison of Some Numerical Methods for Two-Point Boundary Value Problems	1974	J. M. Varah
+	On a Characterization of the Best $l_2 $-Scaling of a matrix	1974	Gene H. Golub J. M. Varah
+ PDF Chat	A comparison of some numerical methods for two-point boundary value problems	1974	J. M. Varah
+ PDF Chat	Stability of High Order Accurate Difference Methods for Parabolic Equations with Boundary Conditions	1971	J. M. Varah
+	Stability of Difference Approximations to the Mixed Initial Boundary Value Problems for Parabolic Systems	1971	J. M. Varah
+ PDF Chat	Latent Roots and Latent Vectors	1971	J. M. Varah Sven Hammarling
+ PDF Chat	Computing invariant subspaces of a general matrix when the eigensystem is poorly conditioned	1970	J. M. Varah
+ PDF Chat	Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation	1970	J. M. Varah
+ PDF Chat	Rigorous machine bounds for the eigensystem of a general complex matrix	1968	J. M. Varah
+	Two working algorithms for the eigenvalues of a symmetric tridiagonal matrix	1966	W. Kahan J. M. Varah
+ PDF Chat	Certification of Parlett’s ALGOL eigenvalue procedure Eig 3	1966	J. M. Varah

Common Coauthors

Coauthor	Papers Together
Chen Greif	9
David F. Gleich	4
Gene H. Golub	3
Sven Hammarling	1
Mihai Putinar	1
Christopher C. Paige	1
W. Kahan	1
Bjoern Gustafsson	1
Donald Ludwig	1
Peyman Milanfar	1
David Titley-Péloquin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Stability of parabolic difference schemes in the maximum norm	1966	Olof B. Widlund	4
+ PDF Chat	Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints	1969	Herbert B. Keller	4
+	An iteration method for the solution of the eigenvalue problem of linear differential and integral operators	1950	Cornelius Lanczos	3
+ PDF Chat	The principle of minimized iterations in the solution of the matrix eigenvalue problem	1951	Walter E. Arnoldi	3
+	Collocation at Gaussian Points	1973	Carl de Boor Blair Swartz	3
+ PDF Chat	Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation	1970	J. M. Varah	3
+	A NEW DIFFERENCE SCHEME FOR PARABOLIC PROBLEMS**This work was supported by the U. S. Army Research Office, Durham, under Contract DAHC 04-68-C-0006.	1971	Herbert B. Keller	2
+	<i>Analysis of Numerical Methods</i>	1967	Eugene Isaacson Herbert B. Keller George H. Weiss	2
+ PDF Chat	Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems	1992	Howard C. Elman Gene H. Golub	2
+	Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter	1979	Gene H. Golub Michael T. Heath Grace Wahba	2
+	Large-Scale Optimization of Eigenvalues	1992	Michael L. Overton	2
+	On Extrapolation Algorithms for Ordinary Initial Value Problems	1965	William B. Gragg	2
+	Singular Perturbation Theory and Geophysics	1970	G. F. Carrier	2
+ PDF Chat	On the Solution of Block-Tridiagonal Systems Arising from Certain Finite-Difference Equations	1972	J. M. Varah	2
+	Geometry of Polynomials	1949	Morris Marden	2
+	Stability of Difference Approximations to the Mixed Initial Boundary Value Problems for Parabolic Systems	1971	J. M. Varah	2
+	An Algorithm for Generalized Matrix Eigenvalue Problems	1973	C Moler G. W. Stewart	2
+ PDF Chat	Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems	1974	Herbert B. Keller	2
+	The automatic integration of stiff ordinary differential equations.	1968	C. W. Gear	2
+ PDF Chat	Numerical Initial Value Problems in Ordinary Differential Equations	1972	James Watt	2
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	2
+	Asymptotically Fast Triangularization of Matrices over Rings	1991	James Lee Hafner Kevin S. McCurley	2
+	Linear Systems over Commutative Rings. A Survey	1976	Eduardo D. Sontag	2
+ PDF Chat	A comparison of some numerical methods for two-point boundary value problems	1974	J. M. Varah	2
+	Solution of Sparse Indefinite Systems of Linear Equations	1975	Christopher C. Paige Michael A. Saunders	2
+	Collocation for systems of boundary value problems	1974	Robert D. Russell	2
+	A collocation method for boundary value problems	1972	Robert D. Russell L. F. Shampine	2
+ PDF Chat	Difference approximations for boundary and eigenvalue problems for ordinary differential equations	1972	Heinz‐Otto Kreiss	1
+ PDF Chat	<i>p</i>-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme	1959	Richard S. Varga	1
+	Computational Experience with Confidence Regions and Confidence Intervals for Nonlinear Least Squares	1987	Janet R. Donaldson Robert B. Schnabel	1
+ PDF Chat	Efficient higher order single step methods for parabolic problems. I	1980	James H. Bramble Peter H. Sammon	1
+	Linear Systems over Commutative Rings	1986	J. W. Brewer John W. Bunce F. S. Van Vleck	1
+	Iterative Solution Methods	1994	Owe Axelsson	1
+	Eigenvalues and invariants of tensors	2006	Liqun Qi	1
+	The Rotation of Eigenvectors by a Perturbation. III	1970	Chandler Davis W. Kahan	1
+	Numerical Solution of Convection-Diffusion Problems	2019	K. W. Morton	1
+	Controllability and completion of partial upper triangular matrices over rings	1992	Leonid Gurvits Leiba Rodman Tamir Shalom	1
+	A comparison of some algorithms for the nonlinear least squares problem	1977	Håkan Ramsin Per-Åke Wedin	1
+	Alternate Row and Column Elimination for Solving Certain Linear Systems	1976	J. M. Varah	1
+	Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems	1983	Michel Fortin R. Glowinski	1
+	Tensor and Matrix Inversions with Applications	2011	Michael Brazell Na Li Carmeliza Navasca Christino Tamon	1
+	A special stability problem for linear multistep methods	1963	Germund Dahlquist	1
+ PDF Chat	On least squares exponential sum approximation with positive coefficients	1980	John Evans William B. Gragg Randall J. LeVeque	1
+	A-stable Runge-Kutta processes	1971	F. H. Chipman	1
+	On Solving Block-Structured Indefinite Linear Systems	2003	Gene H. Golub Chen Greif	1
+	Optimal Harvesting of a Randomly Fluctuating Resource. I: Application of Perturbation Methods	1979	Donald Ludwig	1
+	A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm <i>n</i>-Vectors	2009	Christopher C. Paige	1
+ PDF Chat	On the instability of leap-frog and Crank-Nicolson approximations of a nonlinear partial differential equation	1973	Bengt Fornberg	1
+	Wiley Classics Library	1988	Richard Courant E. J. McShane	1
+	A special family of Runge-Kutta methods for solving stiff differential equations	1978	Kevin Burrage	1