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Varah, James M.

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Author ID: varah.james-m Recent zbMATH articles by "Varah, James M."
Published as: Varah, J. M.; Varah, James; Varah, James M.
Documents Indexed: 48 Publications since 1968

Publications by Year

Citations contained in zbMATH

41 Publications have been cited 623 times in 574 Documents Cited by Year
A lower bound for the smallest singular value of a matrix. Zbl 0312.65028
Varah, J. M.
112
1975
A spline least squares method for numerical parameter estimation in differential equations. Zbl 0481.65050
Varah, J. M.
62
1982
Stability restrictions on second order, three level finite difference schemes for parabolic equations. Zbl 0426.65048
Varah, J. M.
51
1980
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
39
2000
A practical examination of some numerical methods for linear discrete ill-posed problems. Zbl 0406.65015
Varah, J. M.
37
1979
Pitfalls in the numerical solution of linear ill-posed problems. Zbl 0533.65082
Varah, J. M.
33
1983
On the separation of two matrices. Zbl 0435.65034
Varah, J. M.
27
1979
On the numerical solution of ill-conditioned linear systems with applications to ill-posed problems. Zbl 0261.65034
Varah, J. M.
25
1973
The prolate matrix. Zbl 0782.15014
Varah, J. M.
20
1993
On the solution of block-tridiagonal systems arising from certain finite- difference equations. Zbl 0266.65029
Varah, J. M.
19
1972
Alternate row and column elimination for solving certain linear systems. Zbl 0338.65016
Varah, J. M.
18
1976
Optimal harvesting of a randomly fluctuating resource. II: Numerical methods and results. Zbl 0445.93047
Ludwig, Donald; Varah, James M.
17
1979
On fitting exponentials by nonlinear least squares. Zbl 0561.65007
Varah, J. M.
16
1985
Iterative solution of cyclically reduced systems arising from discretisation of the three-dimensional convection-diffusion equation. Zbl 0916.65028
Greif, Chen; Varah, James
15
1998
Block stationary methods for nonsymmetric cyclically reduced systems arising from three-dimensional elliptic equations. Zbl 0936.65125
Greif, Chen; Varah, James
14
1999
An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048
Golub, Gene H.; Greif, Chen; Varah, James M.
13
2006
On the efficient implementation of implicit Runge-Kutta methods. Zbl 0414.65043
Varah, J. M.
11
1979
A comparison of global methods for linear two-point boundary value problems. Zbl 0315.65048
Russell, R. D.; Varah, J. M.
10
1975
Stability of difference approximations to the mixed initial boundary value problems for parabolic systems. Zbl 0199.50502
Varah, J. M.
7
1971
Computing invariant subspaces of a general matrix when the eigensystem is poorly conditioned. Zbl 0195.45101
Varah, J. M.
7
1970
The calculation of the eigenvectors of a general complex matrix by inverse iteration. Zbl 0174.46903
Varah, J. M.
7
1968
Stiffly stable linear multistep methods of extended order. Zbl 0398.65047
Varah, J. M.
6
1978
On a characterization of the best \(\ell_2\)-scaling of a matrix. Zbl 0314.65019
Golub, G. H.; Varah, J. M.
6
1974
A comparison of some numerical methods for two-point boundary value problems. Zbl 0292.65045
Varah, James M.
6
1974
Rigorous machine bounds for the eigensystem of a general complex matrix. Zbl 0176.13503
Varah, J. M.
6
1968
The power and Arnoldi methods in an algebra of circulants. Zbl 1313.65079
Gleich, David F.; Greif, Chen; Varah, James M.
5
2013
Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041
Golub, Gene H.; Greif, Chen; Varah, James M.
4
2002
Least squares data fitting with implicit functions. Zbl 0865.65003
Varah, J. M.
4
1996
Iterative solution of skew-symmetric linear systems. Zbl 1191.65028
Greif, Chen; Varah, James M.
3
2009
Minimizing the condition number for small rank modifications. Zbl 1143.65341
Greif, Chen; Varah, James M.
3
2006
Positive definite Hankel matrices of minimal condition. Zbl 1029.15019
Varah, J. M.
3
2003
Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation. Zbl 0195.45803
Varah, J. M.
3
1970
Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. Zbl 1347.65062
Greif, C.; Paige, C. C.; Titley-Peloquin, D.; Varah, J. M.
2
2016
Backward error estimates for Toeplitz systems. Zbl 0797.65020
Varah, J. M.
2
1994
Errors and perturbations in Vandermonde systems. Zbl 0765.65037
Varah, J. M.
2
1993
Relative sizes of the Hessian terms in nonlinear parameter estimation. Zbl 0689.65093
Varah, J. M.
2
1990
On the condition number of local bases for piecewise cubic polynomials. Zbl 0348.65007
Varah, J. M.
2
1977
Numerical methods for the solution of ordinary differential equations. Zbl 0397.65044
Varah, James M.
1
1978
On the stability of boundary conditions for separable difference approximations to parabolic equations. Zbl 0367.65046
Varah, J. M.
1
1977
A tale of two methods for solving two-point boundary value problems. Zbl 0308.65053
Varah, J. M.
1
1975
Stability of high-order accurate difference methods for parabolic equations with boundary conditions. Zbl 0199.50501
Varah, J. M.
1
1971
Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. Zbl 1347.65062
Greif, C.; Paige, C. C.; Titley-Peloquin, D.; Varah, J. M.
2
2016
The power and Arnoldi methods in an algebra of circulants. Zbl 1313.65079
Gleich, David F.; Greif, Chen; Varah, James M.
5
2013
Iterative solution of skew-symmetric linear systems. Zbl 1191.65028
Greif, Chen; Varah, James M.
3
2009
An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048
Golub, Gene H.; Greif, Chen; Varah, James M.
13
2006
Minimizing the condition number for small rank modifications. Zbl 1143.65341
Greif, Chen; Varah, James M.
3
2006
Positive definite Hankel matrices of minimal condition. Zbl 1029.15019
Varah, J. M.
3
2003
Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041
Golub, Gene H.; Greif, Chen; Varah, James M.
4
2002
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
39
2000
Block stationary methods for nonsymmetric cyclically reduced systems arising from three-dimensional elliptic equations. Zbl 0936.65125
Greif, Chen; Varah, James
14
1999
Iterative solution of cyclically reduced systems arising from discretisation of the three-dimensional convection-diffusion equation. Zbl 0916.65028
Greif, Chen; Varah, James
15
1998
Least squares data fitting with implicit functions. Zbl 0865.65003
Varah, J. M.
4
1996
Backward error estimates for Toeplitz systems. Zbl 0797.65020
Varah, J. M.
2
1994
The prolate matrix. Zbl 0782.15014
Varah, J. M.
20
1993
Errors and perturbations in Vandermonde systems. Zbl 0765.65037
Varah, J. M.
2
1993
Relative sizes of the Hessian terms in nonlinear parameter estimation. Zbl 0689.65093
Varah, J. M.
2
1990
On fitting exponentials by nonlinear least squares. Zbl 0561.65007
Varah, J. M.
16
1985
Pitfalls in the numerical solution of linear ill-posed problems. Zbl 0533.65082
Varah, J. M.
33
1983
A spline least squares method for numerical parameter estimation in differential equations. Zbl 0481.65050
Varah, J. M.
62
1982
Stability restrictions on second order, three level finite difference schemes for parabolic equations. Zbl 0426.65048
Varah, J. M.
51
1980
A practical examination of some numerical methods for linear discrete ill-posed problems. Zbl 0406.65015
Varah, J. M.
37
1979
On the separation of two matrices. Zbl 0435.65034
Varah, J. M.
27
1979
Optimal harvesting of a randomly fluctuating resource. II: Numerical methods and results. Zbl 0445.93047
Ludwig, Donald; Varah, James M.
17
1979
On the efficient implementation of implicit Runge-Kutta methods. Zbl 0414.65043
Varah, J. M.
11
1979
Stiffly stable linear multistep methods of extended order. Zbl 0398.65047
Varah, J. M.
6
1978
Numerical methods for the solution of ordinary differential equations. Zbl 0397.65044
Varah, James M.
1
1978
On the condition number of local bases for piecewise cubic polynomials. Zbl 0348.65007
Varah, J. M.
2
1977
On the stability of boundary conditions for separable difference approximations to parabolic equations. Zbl 0367.65046
Varah, J. M.
1
1977
Alternate row and column elimination for solving certain linear systems. Zbl 0338.65016
Varah, J. M.
18
1976
A lower bound for the smallest singular value of a matrix. Zbl 0312.65028
Varah, J. M.
112
1975
A comparison of global methods for linear two-point boundary value problems. Zbl 0315.65048
Russell, R. D.; Varah, J. M.
10
1975
A tale of two methods for solving two-point boundary value problems. Zbl 0308.65053
Varah, J. M.
1
1975
On a characterization of the best \(\ell_2\)-scaling of a matrix. Zbl 0314.65019
Golub, G. H.; Varah, J. M.
6
1974
A comparison of some numerical methods for two-point boundary value problems. Zbl 0292.65045
Varah, James M.
6
1974
On the numerical solution of ill-conditioned linear systems with applications to ill-posed problems. Zbl 0261.65034
Varah, J. M.
25
1973
On the solution of block-tridiagonal systems arising from certain finite- difference equations. Zbl 0266.65029
Varah, J. M.
19
1972
Stability of difference approximations to the mixed initial boundary value problems for parabolic systems. Zbl 0199.50502
Varah, J. M.
7
1971
Stability of high-order accurate difference methods for parabolic equations with boundary conditions. Zbl 0199.50501
Varah, J. M.
1
1971
Computing invariant subspaces of a general matrix when the eigensystem is poorly conditioned. Zbl 0195.45101
Varah, J. M.
7
1970
Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation. Zbl 0195.45803
Varah, J. M.
3
1970
The calculation of the eigenvectors of a general complex matrix by inverse iteration. Zbl 0174.46903
Varah, J. M.
7
1968
Rigorous machine bounds for the eigensystem of a general complex matrix. Zbl 0176.13503
Varah, J. M.
6
1968
all top 5

Cited by 886 Authors

12 Huang, Ting-Zhu
12 Kadalbajoo, Mohan K.
9 Kolotilina, Lily Yu.
8 Varah, James M.
7 Hundsdorfer, Willem H.
7 Liu, Meng
7 Scitovski, Rudolf
6 Bai, Chuanzhi
6 Cvetković, Ljiljana
6 Hansen, Per Christian
6 Iqbal, Muhammad Zafar
6 Li, Chaoqian
6 Peña, Juan Manuel
6 Tasche, Manfred
6 Wu, Hulin
5 Brunel, Nicolas J-B.
5 Clairon, Quentin
5 Jukić, Dragan
5 Patidar, Kailash C.
5 Potts, Daniel
4 Bai, Zhongzhi
4 Cuyt, Annie A. M.
4 Dattner, Itai
4 Desmet, Wim
4 Garcia Esnaola, Marta
4 Gupta, Vikas
4 Hanke-Bourgeois, Martin
4 Kumar, Devendra
4 Kumar, Mukesh
4 Lasserre, Jean-Bernard
4 Layton, William J.
4 Lee, Wen-shin
4 Li, Yaotang
4 Paprzycki, Marcin
4 Rao, S. Chandra Sekhara
4 Rodriguez, Giuseppe
4 Vandepitte, Dirk
4 Voit, Eberhard Otto
4 Xue, Hongqi
3 Ascher, Uri M.
3 Barone, Piero
3 Batenkov, Dmitry
3 Cash, Jeff R.
3 Chen, Xiaoshan
3 Cooper, Gavin J.
3 Curtis, Frank E.
3 Demmel, James Weldon
3 Gao, Lei
3 Gladwell, Ian
3 Golub, Gene Howard
3 Hadjidimos, Apostolos
3 Hanson, Floyd B.
3 Kailath, Thomas
3 Kostić, Vladimir R.
3 Mattheij, Robert M. M.
3 Miao, Hongyu
3 Olshevsky, Vadim
3 Plonka, Gerlind
3 Ravindran, Sivaguru S.
3 Reichel, Lothar
3 Ruhe, Axel
3 Schillinger, Dominik
3 Shivakumar, Pappur N.
3 Trenchea, Catalin
3 Verwer, Jan G.
3 Wang, Hong
3 Wang, Shanshan
3 Wei, Yimin
3 Yomdin, Yosef
3 Zhang, Jun
3 Zhang, Luming
3 Zhou, Jie
2 Adcock, Ben
2 Al-Subaihi, Ibrahim A.
2 Amodio, Pierluigi
2 Anderson, Orson L.
2 Björck, Åke
2 Boros, Tibor
2 Brezinski, Claude
2 Byers, Ralph
2 Campbell, David A.
2 Cao, Jiguo
2 Carpentieri, Bruno
2 Cvetković, Dragana Lj.
2 Darve, Eric
2 Dass, Sarat C.
2 Deckers, Elke
2 Di Benedetto, Fabio
2 Ding, Deqiong
2 Ding, Xiaohua
2 Dolejší, Vít
2 Donatelli, Marco
2 Doroslovački, Ksenija
2 Edalatpanah, Seyyed Ahmad
2 Enright, Wayne H.
2 Evans, John A.
2 Freeden, Willi
2 Gravin, Nick
2 Greif, Chen
2 Gu, Xian-Ming
...and 786 more Authors
all top 5

Cited in 162 Serials

51 Journal of Computational and Applied Mathematics
48 Linear Algebra and its Applications
36 Applied Mathematics and Computation
21 Numerische Mathematik
20 Mathematics of Computation
19 Journal of Computational Physics
18 Applied Numerical Mathematics
17 Numerical Algorithms
14 BIT
12 Computers & Mathematics with Applications
11 Numerical Linear Algebra with Applications
10 Mathematical Biosciences
10 International Journal of Computer Mathematics
10 Journal of Mathematical Sciences (New York)
7 Journal of Scientific Computing
6 Computer Methods in Applied Mechanics and Engineering
6 Computing
6 Journal of the American Statistical Association
6 Applied Mathematics Letters
6 Electronic Journal of Statistics
5 Journal of Mathematical Analysis and Applications
5 Calcolo
5 Numerical Functional Analysis and Optimization
5 Applied Mathematical Modelling
5 Computational Statistics and Data Analysis
5 Statistics and Computing
4 Biometrics
4 Journal of Optimization Theory and Applications
4 Discrete & Computational Geometry
4 SIAM Journal on Matrix Analysis and Applications
4 Advances in Computational Mathematics
4 Mathematical Problems in Engineering
4 BIT. Nordisk Tidskrift for Informationsbehandling
4 The Annals of Applied Statistics
3 Inverse Problems
3 Journal of Statistical Planning and Inference
3 Quarterly of Applied Mathematics
3 SIAM Journal on Algebraic and Discrete Methods
3 Acta Mathematicae Applicatae Sinica. English Series
3 Numerical Methods for Partial Differential Equations
3 Japan Journal of Industrial and Applied Mathematics
3 Applied and Computational Harmonic Analysis
3 Computational and Applied Mathematics
3 Journal of Applied Mathematics
3 Inverse Problems in Science and Engineering
2 Bulletin of the Australian Mathematical Society
2 Computers and Fluids
2 Computer Physics Communications
2 Journal of Mathematical Biology
2 Linear and Multilinear Algebra
2 The Annals of Statistics
2 International Journal for Numerical Methods in Engineering
2 Journal of Multivariate Analysis
2 Journal of Soviet Mathematics
2 SIAM Journal on Numerical Analysis
2 Systems & Control Letters
2 Statistics & Probability Letters
2 Mathematical and Computer Modelling
2 Automation and Remote Control
2 Journal of Mathematical Imaging and Vision
2 SIAM Journal on Scientific Computing
2 Communications in Numerical Methods in Engineering
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Inequalities and Applications
2 Journal of Applied Statistics
2 Communications in Nonlinear Science and Numerical Simulation
2 Archives of Computational Methods in Engineering
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics and Computing
2 Frontiers of Mathematics in China
2 Advances in Numerical Analysis
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 International Journal of Control
1 International Journal for Numerical Methods in Fluids
1 International Journal of Systems Science
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Aplikace Matematiky
1 Automatica
1 Fuzzy Sets and Systems
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Economic Theory
1 Kybernetes
1 Mathematics and Computers in Simulation
1 Naval Research Logistics
1 Proceedings of the American Mathematical Society
1 Theoretical Computer Science
1 Theoretical Population Biology
1 Optimal Control Applications & Methods
1 Advances in Applied Mathematics
1 Journal of Time Series Analysis
1 American Journal of Mathematical and Management Sciences
1 Japan Journal of Applied Mathematics
1 Journal of Symbolic Computation
...and 62 more Serials
all top 5

Cited in 41 Fields

409 Numerical analysis (65-XX)
92 Linear and multilinear algebra; matrix theory (15-XX)
76 Partial differential equations (35-XX)
73 Ordinary differential equations (34-XX)
67 Statistics (62-XX)
36 Biology and other natural sciences (92-XX)
30 Fluid mechanics (76-XX)
29 Probability theory and stochastic processes (60-XX)
29 Systems theory; control (93-XX)
26 Operations research, mathematical programming (90-XX)
25 Integral equations (45-XX)
25 Information and communication theory, circuits (94-XX)
24 Approximations and expansions (41-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
17 Computer science (68-XX)
16 Integral transforms, operational calculus (44-XX)
14 Operator theory (47-XX)
14 Mechanics of deformable solids (74-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
5 Algebraic geometry (14-XX)
5 Convex and discrete geometry (52-XX)
5 Geophysics (86-XX)
4 Number theory (11-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Special functions (33-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year