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Saunders, Michael A.

Co-Author Distance
Author ID: saunders.michael-a Recent zbMATH articles by "Saunders, Michael A."
Published as: Saunders, Michael A.; Saunders, M. A.; Saunders, Michael
Homepage: http://web.stanford.edu/~saunders/
External Links: MGP
Documents Indexed: 88 Publications since 1970, including 5 Additional arXiv Preprints
Co-Authors: 69 Co-Authors with 82 Joint Publications
2,617 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
34 Gill, Philip E.
33 Murray, Walter
24 Wright, Margaret H.
11 Orban, Dominique
5 Estrin, Ron
5 Paige, Christopher Conway
4 Friedlander, Michael P.
3 Brust, Johannes J.
3 Dai, Yu-Hong
3 Golub, Gene Howard
3 Huang, Na
3 Ponceleón, Dulce B.
2 Chen, Scott Shaobing
2 Choi, Sou-Cheng T.
2 Darve, Eric
2 Donoho, David Leigh
2 Fleming, Ronan M. T.
2 Ma, Ding
2 Murtagh, Bruce A.
2 Peleš, Slaven
2 Petra, Cosmin G.
2 Regev, Shaked
2 Świrydowicz, Kasia
2 Tomlin, John A.
2 Ye, Yinyu
1 Bartels, Richard Harold
1 Carter, Michael W.
1 Castillo, José E.
1 Chantas, Giannis
1 Chen, Hsin-Der
1 Chiang, Naiyuan
1 Choi, Youngsoo
1 Eldersveld, Samuel K.
1 Farhat, Charbel H.
1 Fong, David Chin-Lung
1 Galatsanos, Nikolaos P.
1 Ghannad, Alexandre
1 Gould, Nicholas Ian Mark
1 Hansen, Per Christian
1 Jarre, Florian
1 Jin, Holly H.
1 Jones, Wesley B.
1 Judd, Kenneth L.
1 Knight, Keith
1 Lee, Jason D.
1 Likas, Aristidis C.
1 Maack, Jonathan
1 Maes, C. M.
1 Mahoney, Michael W.
1 Marcia, Roummel F.
1 Meng, Xiangrui
1 Montoison, Alexis
1 Osborne, Michael Robert
1 O’Sullivan, Michael Justin
1 Palsson, Bernhard Ø.
1 Pardalos, Panos M.
1 Pereyra, Victor
1 Rosset, Saharon
1 Shinnerl, Joseph R.
1 Simon, Horst D.
1 Stewart, Gilbert Wright
1 Sun, Yuekai
1 Thiele, Ines
1 Thomas, Stephen J.
1 Tibshirani, Robert John
1 Vlassis, Nikos
1 Wong, Elizabeth
1 Yip, Elizabeth L.
1 Zhu, Ji
all top 5

Serials

9 SIAM Journal on Scientific Computing
7 SIAM Journal on Matrix Analysis and Applications
5 Mathematical Programming
5 SIAM Journal on Optimization
4 SIAM Journal on Numerical Analysis
3 ACM Transactions on Mathematical Software
3 BIT
3 SIAM Review
3 Optimization Methods & Software
2 Mathematics of Computation
2 SIAM Journal on Scientific and Statistical Computing
2 Mathematical Programming. Series A. Series B
2 Journal of Theoretical Biology
1 Journal of Computational and Applied Mathematics
1 Mathematical Programming Study
1 Operations Research Letters
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 ORSA Journal on Computing
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 IEEE Transactions on Image Processing
1 Discrete Optimization
all top 5

Fields

72 Numerical analysis (65-XX)
59 Operations research, mathematical programming (90-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
5 Computer science (68-XX)
5 Systems theory; control (93-XX)
4 Statistics (62-XX)
3 Biology and other natural sciences (92-XX)
3 Information and communication theory, circuits (94-XX)
2 Approximations and expansions (41-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

72 Publications have been cited 4,458 times in 3,822 Documents Cited by ▼ Year ▼
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
603
1999
Sparsity and smoothness via the fused lasso. Zbl 1060.62049
Tibshirani, Robert; Saunders, Michael; Rosset, Saharon; Zhu, Ji; Knight, Keith
553
2005
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
540
1975
LSQR: An algorithm for sparse linear equations and sparse least squares. Zbl 0478.65016
Paige, Christopher C.; Saunders, Michael A.
478
1982
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
356
2001
SNOPT: an SQP algorithm for large-scale constrained optimization. Zbl 1210.90176
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
279
2005
SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
190
2002
Towards a generalized singular value decomposition. Zbl 0471.65018
Paige, C. C.; Saunders, M. A.
142
1981
On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Zbl 0624.90062
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Tomlin, J. A.; Wright, Margaret H.
139
1986
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
132
1974
Large-scale linearly constrained optimization. Zbl 0383.90074
Murtagh, B. A.; Saunders, M. A.
106
1978
Proximal Newton-type methods for minimizing composite functions. Zbl 1306.65213
Lee, Jason D.; Sun, Yuekai; Saunders, Michael A.
101
2014
LSMR: an iterative algorithm for sparse least-squares problems. Zbl 1232.65052
Fong, David Chin-Lung; Saunders, Michael
98
2011
A practical anti-cycling procedure for linearly constrained optimization. Zbl 0688.90038
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
47
1989
Preconditioners for indefinite systems arising in optimization. Zbl 0749.65037
Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A.
43
1992
A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints. Zbl 0477.90069
Murtagh, Bruce A.; Saunders, Michael A.
41
1982
MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems. Zbl 1230.65050
Choi, Sou-Cheng T.; Paige, Christopher C.; Saunders, Michael A.
36
2011
LSRN: A parallel iterative solver for strongly over- or underdetermined systems. Zbl 1298.65053
Meng, Xiangrui; Saunders, Michael A.; Mahoney, Michael W.
36
2014
Inertia-controlling methods for general quadratic programming. Zbl 0734.90062
Gill, P. E.; Murray, W.; Saunders, M. A.; Wright, M. H.
35
1991
On the stability of Cholesky factorization for symmetric quasidefinite systems. Zbl 0878.49020
Gill, Philip E.; Saunders, Michael A.; Shinnerl, Joseph R.
33
1996
Solution of sparse rectangular systems using LSQR and Craig. Zbl 0844.65029
Saunders, Michael A.
25
1995
Sparse matrix methods in optimization. Zbl 0559.65042
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
24
1984
Maintaining LU factors of a general sparse matrix. Zbl 0618.65019
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
24
1987
Cholesky-based methods for sparse least squares: The benefits of regularization. Zbl 0865.65022
Saunders, Michael A.
23
1996
Numerical techniques in mathematical programming. Zbl 0228.90030
Bartels, R. H.; Golub, G. H.; Saunders, M. A.
23
1970
Two conjugate-gradient-type methods for unsymmetric linear equations. Zbl 0652.65022
Saunders, M. A.; Simon, H. D.; Yip, E. L.
23
1988
Computing forward-difference intervals for numerical optimization. Zbl 0514.65044
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
21
1983
Methods for computing and modifying the LDV factors of a matrix. Zbl 0339.65022
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
19
1975
A globally convergent linearly constrained Lagrangian method for nonlinear optimization. Zbl 1077.90065
Friedlander, Michael P.; Saunders, Michael A.
16
2005
Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030
Jacobsen, M.; Hansen, P. C.; Saunders, M. A.
16
2003
Some theoretical properties of an augmented Lagrangian merit function. Zbl 0814.90094
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
16
1992
Solving reduced KKT systems in barrier methods for linear programming. Zbl 0815.65080
Gill, P. E.; Murray, W.; Ponceleon, D. B.; Saunders, M. A.
16
1994
Linear least squares and quadratic programming. Zbl 0334.90034
Golub, G. H.; Saunders, M. A.
14
1970
LSLQ: an iterative method for linear least-squares with an error minimization property. Zbl 1451.65028
Estrin, Ron; Orban, Dominique; Saunders, Michael A.
13
2019
A fast, stable implementation of the simplex method using Bartels-Golub updating. Zbl 0345.65034
Saunders, Michael A.
11
1976
A Schur-complement method for sparse quadratic programming. Zbl 0725.65060
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
11
1990
A practical factorization of a Schur complement for PDE-constrained distributed optimal control. Zbl 1327.65225
Choi, Youngsoo; Farhat, Charbel; Murray, Walter; Saunders, Michael
11
2015
A block-LU update for large-scale linear programming. Zbl 0753.65050
Eldersveld, Samuel K.; Saunders, Michael A.
9
1992
Procedures for optimization problems with a mixture of bounds and general linear constraints. Zbl 0562.90079
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
9
1984
Least squares estimation of discrete linear dynamic systems using orthogonal transformations. Zbl 0358.93037
Paige, C. C.; Saunders, M. A.
9
1977
Variational Bayesian image restoration based on a product of \(t\)-distributions image prior. Zbl 1371.94080
Chantas, Giannis; Galatsanos, Nikolaos; Likas, Aristidis; Saunders, Michael
9
2008
The simplex algorithm with a new primal and dual pivot rule. Zbl 0812.90115
Chen, Hsin-Der; Pardalos, Panos M.; Saunders, Michael A.
8
1994
A weighted Gram-Schmidt method for convex quadratic programming. Zbl 0545.90080
Gill, Philip E.; Gould, Nicholas I. M.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
8
1984
Properties of a representation of a basis for the null space. Zbl 0579.65035
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Stewart, G. W.; Wright, Margaret H.
8
1985
Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems. Zbl 1305.65117
Choi, Sou-Cheng T.; Saunders, Michael A.
8
2014
Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138
Pereyra, Victor; Saunders, Michael; Castillo, Jose
8
2013
LNLQ: an iterative method for least-norm problems with an error minimization property. Zbl 1435.65050
Estrin, Ron; Orban, Dominique; Saunders, Michael A.
8
2019
Euclidean-norm error bounds for SYMMLQ and CG. Zbl 1409.65015
Estrin, Ron; Orban, Dominique; Saunders, Michael
7
2019
Computing projections with LSQR. Zbl 0870.65032
Saunders, Michael A.
6
1997
A note on a sufficient-decrease criterion for a non-derivative step- length procedure. Zbl 0482.90077
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
6
1982
Spaseloc: an adaptive subproblem algorithm for scalable wireless sensor network localization. Zbl 1136.90321
Carter, Michael W.; Jin, Holly H.; Saunders, Michael A.; Ye, Yinyu
6
2006
A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks. Zbl 1307.92104
Fleming, R. M. T.; Maes, C. M.; Saunders, M. A.; Ye, Y.; Palsson, B.Ø.
6
2012
Implementing a smooth exact penalty function for general constrained nonlinear optimization. Zbl 1447.90064
Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A.
6
2020
Model building and practical aspects of nonlinear programming. Zbl 0587.90082
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
5
1985
Numerical stability in large-scale linear programming. Zbl 0313.65048
Saunders, M. A.
5
1973
Implementing a smooth exact penalty function for equality-constrained nonlinear optimization. Zbl 1447.90063
Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A.
5
2020
Sequential quadratic programming methods for nonlinear programming. Zbl 0551.90079
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
3
1984
Conditions for duality between fluxes and concentrations in biochemical networks. Zbl 1405.92103
Fleming, Ronan M. T.; Vlassis, Nikos; Thiele, Ines; Saunders, Michael A.
3
2016
Solving multiscale linear programs using the simplex method in quadruple precision. Zbl 1330.65088
Ma, Ding; Saunders, Michael A.
3
2015
Major Cholesky would feel proud. Zbl 0800.90698
Saunders, Michael A.
3
1994
A practical interior-point method for convex programming. Zbl 0827.65066
Jarre, Florian; Saunders, Michael A.
2
1995
Primal-dual methods for linear programming. Zbl 0855.90081
Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A.
2
1995
On the performance of SQP methods for nonlinear optimization. Zbl 1372.65170
Gill, Philip E.; Saunders, Michael A.; Wong, Elizabeth
2
2015
Large-scale SQP methods and their application in trajectory optimization. Zbl 0806.49025
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
2
1994
Linearly constrained optimization. Zbl 0571.90073
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
1
1982
QP-based methods for large-scale nonlinearly constrained optimization. Zbl 0534.49026
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
1
1981
Descent methods for minimisation. Zbl 0343.90044
Osborne, M.; Saunders, M. A.
1
1972
Linear systems arising in interior methods for convex optimization: a symmetric formulation with bounded condition number. Zbl 1518.65073
Ghannad, Alexandre; Orban, Dominique; Saunders, Michael A.
1
2022
On GSOR, the generalized successive overrelaxation method for double saddle-point problems. Zbl 1523.65032
Huang, Na; Dai, Yu-Hong; Orban, Dominique; Saunders, Michael A.
1
2023
Large-scale optimization with linear equality constraints using reduced compact representation. Zbl 1535.90154
Brust, Johannes J.; Marcia, Roummel F.; Petra, Cosmin G.; Saunders, Michael A.
1
2022
Recent developments in constrained optimization. Zbl 0659.90075
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
1
1988
Stabilized optimization via an NCL algorithm. Zbl 1461.65174
Ma, Ding; Judd, Kenneth L.; Orban, Dominique; Saunders, Michael A.
1
2018
On GSOR, the generalized successive overrelaxation method for double saddle-point problems. Zbl 1523.65032
Huang, Na; Dai, Yu-Hong; Orban, Dominique; Saunders, Michael A.
1
2023
Linear systems arising in interior methods for convex optimization: a symmetric formulation with bounded condition number. Zbl 1518.65073
Ghannad, Alexandre; Orban, Dominique; Saunders, Michael A.
1
2022
Large-scale optimization with linear equality constraints using reduced compact representation. Zbl 1535.90154
Brust, Johannes J.; Marcia, Roummel F.; Petra, Cosmin G.; Saunders, Michael A.
1
2022
Implementing a smooth exact penalty function for general constrained nonlinear optimization. Zbl 1447.90064
Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A.
6
2020
Implementing a smooth exact penalty function for equality-constrained nonlinear optimization. Zbl 1447.90063
Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A.
5
2020
LSLQ: an iterative method for linear least-squares with an error minimization property. Zbl 1451.65028
Estrin, Ron; Orban, Dominique; Saunders, Michael A.
13
2019
LNLQ: an iterative method for least-norm problems with an error minimization property. Zbl 1435.65050
Estrin, Ron; Orban, Dominique; Saunders, Michael A.
8
2019
Euclidean-norm error bounds for SYMMLQ and CG. Zbl 1409.65015
Estrin, Ron; Orban, Dominique; Saunders, Michael
7
2019
Stabilized optimization via an NCL algorithm. Zbl 1461.65174
Ma, Ding; Judd, Kenneth L.; Orban, Dominique; Saunders, Michael A.
1
2018
Conditions for duality between fluxes and concentrations in biochemical networks. Zbl 1405.92103
Fleming, Ronan M. T.; Vlassis, Nikos; Thiele, Ines; Saunders, Michael A.
3
2016
A practical factorization of a Schur complement for PDE-constrained distributed optimal control. Zbl 1327.65225
Choi, Youngsoo; Farhat, Charbel; Murray, Walter; Saunders, Michael
11
2015
Solving multiscale linear programs using the simplex method in quadruple precision. Zbl 1330.65088
Ma, Ding; Saunders, Michael A.
3
2015
On the performance of SQP methods for nonlinear optimization. Zbl 1372.65170
Gill, Philip E.; Saunders, Michael A.; Wong, Elizabeth
2
2015
Proximal Newton-type methods for minimizing composite functions. Zbl 1306.65213
Lee, Jason D.; Sun, Yuekai; Saunders, Michael A.
101
2014
LSRN: A parallel iterative solver for strongly over- or underdetermined systems. Zbl 1298.65053
Meng, Xiangrui; Saunders, Michael A.; Mahoney, Michael W.
36
2014
Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems. Zbl 1305.65117
Choi, Sou-Cheng T.; Saunders, Michael A.
8
2014
Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138
Pereyra, Victor; Saunders, Michael; Castillo, Jose
8
2013
A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks. Zbl 1307.92104
Fleming, R. M. T.; Maes, C. M.; Saunders, M. A.; Ye, Y.; Palsson, B.Ø.
6
2012
LSMR: an iterative algorithm for sparse least-squares problems. Zbl 1232.65052
Fong, David Chin-Lung; Saunders, Michael
98
2011
MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems. Zbl 1230.65050
Choi, Sou-Cheng T.; Paige, Christopher C.; Saunders, Michael A.
36
2011
Variational Bayesian image restoration based on a product of \(t\)-distributions image prior. Zbl 1371.94080
Chantas, Giannis; Galatsanos, Nikolaos; Likas, Aristidis; Saunders, Michael
9
2008
Spaseloc: an adaptive subproblem algorithm for scalable wireless sensor network localization. Zbl 1136.90321
Carter, Michael W.; Jin, Holly H.; Saunders, Michael A.; Ye, Yinyu
6
2006
Sparsity and smoothness via the fused lasso. Zbl 1060.62049
Tibshirani, Robert; Saunders, Michael; Rosset, Saharon; Zhu, Ji; Knight, Keith
553
2005
SNOPT: an SQP algorithm for large-scale constrained optimization. Zbl 1210.90176
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
279
2005
A globally convergent linearly constrained Lagrangian method for nonlinear optimization. Zbl 1077.90065
Friedlander, Michael P.; Saunders, Michael A.
16
2005
Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030
Jacobsen, M.; Hansen, P. C.; Saunders, M. A.
16
2003
SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
190
2002
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
356
2001
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
603
1999
Computing projections with LSQR. Zbl 0870.65032
Saunders, Michael A.
6
1997
On the stability of Cholesky factorization for symmetric quasidefinite systems. Zbl 0878.49020
Gill, Philip E.; Saunders, Michael A.; Shinnerl, Joseph R.
33
1996
Cholesky-based methods for sparse least squares: The benefits of regularization. Zbl 0865.65022
Saunders, Michael A.
23
1996
Solution of sparse rectangular systems using LSQR and Craig. Zbl 0844.65029
Saunders, Michael A.
25
1995
A practical interior-point method for convex programming. Zbl 0827.65066
Jarre, Florian; Saunders, Michael A.
2
1995
Primal-dual methods for linear programming. Zbl 0855.90081
Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A.
2
1995
Solving reduced KKT systems in barrier methods for linear programming. Zbl 0815.65080
Gill, P. E.; Murray, W.; Ponceleon, D. B.; Saunders, M. A.
16
1994
The simplex algorithm with a new primal and dual pivot rule. Zbl 0812.90115
Chen, Hsin-Der; Pardalos, Panos M.; Saunders, Michael A.
8
1994
Major Cholesky would feel proud. Zbl 0800.90698
Saunders, Michael A.
3
1994
Large-scale SQP methods and their application in trajectory optimization. Zbl 0806.49025
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
2
1994
Preconditioners for indefinite systems arising in optimization. Zbl 0749.65037
Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A.
43
1992
Some theoretical properties of an augmented Lagrangian merit function. Zbl 0814.90094
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
16
1992
A block-LU update for large-scale linear programming. Zbl 0753.65050
Eldersveld, Samuel K.; Saunders, Michael A.
9
1992
Inertia-controlling methods for general quadratic programming. Zbl 0734.90062
Gill, P. E.; Murray, W.; Saunders, M. A.; Wright, M. H.
35
1991
A Schur-complement method for sparse quadratic programming. Zbl 0725.65060
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
11
1990
A practical anti-cycling procedure for linearly constrained optimization. Zbl 0688.90038
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
47
1989
Two conjugate-gradient-type methods for unsymmetric linear equations. Zbl 0652.65022
Saunders, M. A.; Simon, H. D.; Yip, E. L.
23
1988
Recent developments in constrained optimization. Zbl 0659.90075
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
1
1988
Maintaining LU factors of a general sparse matrix. Zbl 0618.65019
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
24
1987
On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Zbl 0624.90062
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Tomlin, J. A.; Wright, Margaret H.
139
1986
Properties of a representation of a basis for the null space. Zbl 0579.65035
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Stewart, G. W.; Wright, Margaret H.
8
1985
Model building and practical aspects of nonlinear programming. Zbl 0587.90082
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
5
1985
Sparse matrix methods in optimization. Zbl 0559.65042
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
24
1984
Procedures for optimization problems with a mixture of bounds and general linear constraints. Zbl 0562.90079
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
9
1984
A weighted Gram-Schmidt method for convex quadratic programming. Zbl 0545.90080
Gill, Philip E.; Gould, Nicholas I. M.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
8
1984
Sequential quadratic programming methods for nonlinear programming. Zbl 0551.90079
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
3
1984
Computing forward-difference intervals for numerical optimization. Zbl 0514.65044
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
21
1983
LSQR: An algorithm for sparse linear equations and sparse least squares. Zbl 0478.65016
Paige, Christopher C.; Saunders, Michael A.
478
1982
A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints. Zbl 0477.90069
Murtagh, Bruce A.; Saunders, Michael A.
41
1982
A note on a sufficient-decrease criterion for a non-derivative step- length procedure. Zbl 0482.90077
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
6
1982
Linearly constrained optimization. Zbl 0571.90073
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
1
1982
Towards a generalized singular value decomposition. Zbl 0471.65018
Paige, C. C.; Saunders, M. A.
142
1981
QP-based methods for large-scale nonlinearly constrained optimization. Zbl 0534.49026
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H.
1
1981
Large-scale linearly constrained optimization. Zbl 0383.90074
Murtagh, B. A.; Saunders, M. A.
106
1978
Least squares estimation of discrete linear dynamic systems using orthogonal transformations. Zbl 0358.93037
Paige, C. C.; Saunders, M. A.
9
1977
A fast, stable implementation of the simplex method using Bartels-Golub updating. Zbl 0345.65034
Saunders, Michael A.
11
1976
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025
Paige, C. C.; Saunders, M. A.
540
1975
Methods for computing and modifying the LDV factors of a matrix. Zbl 0339.65022
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
19
1975
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
132
1974
Numerical stability in large-scale linear programming. Zbl 0313.65048
Saunders, M. A.
5
1973
Descent methods for minimisation. Zbl 0343.90044
Osborne, M.; Saunders, M. A.
1
1972
Numerical techniques in mathematical programming. Zbl 0228.90030
Bartels, R. H.; Golub, G. H.; Saunders, M. A.
23
1970
Linear least squares and quadratic programming. Zbl 0334.90034
Golub, G. H.; Saunders, M. A.
14
1970
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Cited by 6,217 Authors

34 Reichel, Lothar
28 Saunders, Michael A.
24 Orban, Dominique
21 Gondzio, Jacek
21 Wathen, Andrew John
20 Gill, Philip E.
19 Yuan, Xiaoming
17 Boyd, Stephen Poythress
17 Jia, Zhongxiao
17 Stoll, Martin
16 Martínez, José Mario
16 Murray, Walter
15 Peyré, Gabriel
14 Fadili, Jalal M.
14 Pearson, John W.
14 Tibshirani, Ryan J.
13 Huang, Ting-Zhu
13 Rauhut, Holger
13 Toh, Kim Chuan
13 Wei, Musheng
12 Axelsson, Axel Owe Holger
12 Elad, Michael
12 Gould, Nicholas Ian Mark
12 Hager, William W.
12 Paige, Christopher Conway
12 Rao, Anil V.
12 Toint, Philippe Louis
12 Van de Geer, Sara Anna
11 Calvetti, Daniela
11 Chung, Julianne M.
11 Hayami, Ken
11 He, Bingsheng
11 Pestana, Jennifer
11 Pu, Dingguo
11 Scott, Jennifer
11 Shen, Chungen
11 Tůma, Miroslav
11 Tutz, Gerhard E.
10 Drezner, Zvi
10 Jbilou, Khalide
10 Morikuni, Keiichi
10 Nocedal, Jorge
10 Stingl, Michael
10 Terlaky, Tamás
10 Tibshirani, Robert John
10 Yu, Bo
10 Yuan, Yongxin
9 Arora, Jasbir S.
9 Fang, Shu-Cherng
9 Gazzola, Silvia
9 Goldfarb, Donald
9 Golub, Gene Howard
9 Huang, Jian
9 Jiao, Yuling
9 Kalczynski, Pawel Jan
9 Kanzow, Christian
9 Karimi, Saeed
9 Lian, Heng
9 Ma, Changfeng
9 O’Leary, Dianne P.
9 Plemmons, Robert James
9 Sun, Defeng
9 Vuik, Cornelis
9 Xiang, Yujiang
8 Barton, Paul I.
8 Byrd, Richard H.
8 Chen, Wengu
8 Choi, Youngsoo
8 Curtis, Frank E.
8 Darve, Eric
8 Fasano, Giovanni
8 Hajarian, Masoud
8 Kirches, Christian
8 Lorenz, Dirk Alfred
8 Lu, Xiliang
8 Lu, Zhaosong
8 Lukšan, Ladislav
8 Martins, Joaquim R. R. A.
8 Pong, Ting Kei
8 Ravnik, Jure
8 Robinson, Daniel P.
8 Rozložník, Miroslav
8 Sadok, Hassane
8 Schmidt, Martin
8 Schoen, Fabio
8 Shanno, David F.
8 Sherali, Hanif D.
8 Stolpe, Mathias
8 Wright, Margaret H.
8 Yun, Sangwoon
8 Zhao, Yunbin
8 Zhu, Ji
7 Aravkin, Aleksandr Y.
7 Birgin, Ernesto G.
7 Bondell, Howard D.
7 Bühlmann, Peter
7 Capobianco, Enrico
7 Chung, Matthias
7 Cichocki, Andrzej
7 Dai, Hua
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Cited in 443 Serials

132 Computational Optimization and Applications
122 Journal of Computational and Applied Mathematics
116 Linear Algebra and its Applications
110 Mathematical Programming. Series A. Series B
91 Journal of Optimization Theory and Applications
91 SIAM Journal on Scientific Computing
78 Numerical Algorithms
75 Journal of Computational Physics
65 Optimization Methods & Software
64 SIAM Journal on Optimization
62 SIAM Journal on Matrix Analysis and Applications
62 Computational Statistics and Data Analysis
62 Numerical Linear Algebra with Applications
60 Applied Mathematics and Computation
59 The Annals of Statistics
52 European Journal of Operational Research
50 Applied and Computational Harmonic Analysis
47 Mathematical Programming
46 BIT
44 Computer Methods in Applied Mechanics and Engineering
43 Journal of Scientific Computing
41 Electronic Journal of Statistics
40 Computers & Mathematics with Applications
40 Applied Numerical Mathematics
37 Inverse Problems
33 Journal of Global Optimization
31 Numerische Mathematik
31 Annals of Operations Research
31 Journal of Machine Learning Research (JMLR)
30 Computers & Operations Research
30 Mathematical Problems in Engineering
29 Automatica
29 Journal of the American Statistical Association
28 Mathematics of Computation
27 Biometrics
26 Optimization and Engineering
26 SIAM Journal on Imaging Sciences
25 Optimization
25 International Journal of Computer Mathematics
24 Statistics and Computing
23 Neural Computation
23 The Annals of Applied Statistics
23 Mathematical Programming Computation
21 Journal of Computational and Graphical Statistics
20 Computer Physics Communications
20 Journal of the Franklin Institute
20 International Journal for Numerical Methods in Engineering
20 Optimal Control Applications & Methods
20 Journal of Mathematical Imaging and Vision
20 Structural and Multidisciplinary Optimization
18 Journal of Econometrics
16 Communications in Statistics. Simulation and Computation
16 Computational and Applied Mathematics
16 Optimization Letters
15 Information Sciences
15 Journal of Multivariate Analysis
15 Applied Mathematical Modelling
15 Journal of Applied Statistics
14 Mathematics of Operations Research
14 Statistical Science
14 Signal Processing
13 Mathematics and Computers in Simulation
13 SIAM Journal on Numerical Analysis
13 Circuits, Systems, and Signal Processing
13 Machine Learning
13 Journal of Statistical Computation and Simulation
13 Pattern Recognition
13 Advances in Computational Mathematics
13 SIAM Journal on Mathematics of Data Science
12 Computers and Fluids
12 International Journal of Control
12 Mathematical Methods in the Applied Sciences
12 Operations Research Letters
12 ETNA. Electronic Transactions on Numerical Analysis
12 Engineering Analysis with Boundary Elements
12 The Journal of Fourier Analysis and Applications
12 Foundations of Computational Mathematics
12 Journal of Industrial and Management Optimization
11 Journal of Statistical Planning and Inference
11 Science China. Mathematics
11 SIAM/ASA Journal on Uncertainty Quantification
10 ACM Transactions on Mathematical Software
10 Computing
10 Numerical Functional Analysis and Optimization
10 Neural Networks
10 Japan Journal of Industrial and Applied Mathematics
10 Communications in Statistics. Theory and Methods
10 Journal of Applied Mathematics and Computing
10 Journal of the Korean Statistical Society
9 Applied Mathematics and Optimization
9 Computational Statistics
9 INFORMS Journal on Computing
9 Multibody System Dynamics
9 Abstract and Applied Analysis
9 Computational Geosciences
9 Inverse Problems and Imaging
8 International Statistical Review
8 Journal of Complexity
8 SIAM Review
8 Statistical Papers
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Cited in 56 Fields

1,832 Numerical analysis (65-XX)
1,394 Operations research, mathematical programming (90-XX)
831 Statistics (62-XX)
418 Information and communication theory, circuits (94-XX)
374 Calculus of variations and optimal control; optimization (49-XX)
345 Computer science (68-XX)
320 Linear and multilinear algebra; matrix theory (15-XX)
148 Systems theory; control (93-XX)
139 Partial differential equations (35-XX)
124 Fluid mechanics (76-XX)
116 Mechanics of deformable solids (74-XX)
108 Biology and other natural sciences (92-XX)
83 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
76 Probability theory and stochastic processes (60-XX)
64 Operator theory (47-XX)
58 Harmonic analysis on Euclidean spaces (42-XX)
50 Geophysics (86-XX)
44 Approximations and expansions (41-XX)
41 Mechanics of particles and systems (70-XX)
38 Optics, electromagnetic theory (78-XX)
33 Combinatorics (05-XX)
23 Integral equations (45-XX)
21 Quantum theory (81-XX)
19 Ordinary differential equations (34-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Functional analysis (46-XX)
15 Dynamical systems and ergodic theory (37-XX)
15 Classical thermodynamics, heat transfer (80-XX)
12 Integral transforms, operational calculus (44-XX)
10 Convex and discrete geometry (52-XX)
8 General and overarching topics; collections (00-XX)
8 Functions of a complex variable (30-XX)
8 Astronomy and astrophysics (85-XX)
7 History and biography (01-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Number theory (11-XX)
5 Differential geometry (53-XX)
5 Manifolds and cell complexes (57-XX)
4 Algebraic geometry (14-XX)
3 Field theory and polynomials (12-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Special functions (33-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Mathematics education (97-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

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