Edit Profile (opens in new tab) Saunders, Michael A. Compute Distance To: Compute Author ID: saunders.michael-a Published as: Saunders, Michael A.; Saunders, M. A.; Saunders, Michael more...less Documents Indexed: 80 Publications since 1970 Co-Authors: 56 Co-Authors with 72 Joint Publications 1,980 Co-Co-Authors all top 5 Co-Authors 6 single-authored 34 Gill, Philip E. 33 Murray, Walter 24 Wright, Margaret H. 7 Orban, Dominique 5 Estrin, Ron 5 Paige, Christopher C. 3 Friedlander, Michael P. 3 Golub, Gene Howard 3 Ponceleón, Dulce B. 2 Chen, Scott Shaobing 2 Choi, Sou-Cheng T. 2 Donoho, David Leigh 2 Fleming, Ronan M. T. 2 Ma, Ding 2 Murtagh, Bruce A. 2 Tomlin, John A. 2 Ye, Yinyu 1 Bartels, Richard Harold 1 Bonamy, J. 1 Brust, Johannes J. 1 Carter, Michael W. 1 Chantas, Giannis 1 Charlier, Benjamin 1 Chen, Hsin-Der 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 Judd, Kenneth L. 1 Knight, Keith 1 Lee, Jason D. 1 Likas, Aristidis C. 1 Maes, C. M. 1 Mahoney, Michael W. 1 Marcia, Roummel F. 1 Meng, Xiangrui 1 Osborne, Michael Robert 1 O’Sullivan, Michael Justin 1 Palsson, Bernhard Ø. 1 Pardalos, Panos M. 1 Petra, Cosmin G. 1 Rosset, Saharon 1 Shinnerl, Joseph R. 1 Simon, Horst D. 1 Stewart, Gilbert Wright 1 Sun, Yuekai 1 Thiele, Ines 1 Tibshirani, Robert John 1 Vlassis, Nikos 1 Wong, Elizabeth 1 Yip, Elizabeth L. 1 Zhu, Ji all top 5 Serials 7 SIAM Journal on Matrix Analysis and Applications 7 SIAM Journal on Scientific Computing 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 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 Optimization Methods & Software 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 IEEE Transactions on Image Processing 1 Discrete Optimization 1 all top 5 Fields 67 Numerical analysis (65-XX) 55 Operations research, mathematical programming (90-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 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) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 3,702 times in 3,191 Documents Cited by ▼ Year ▼ Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 516 1999 Solution of sparse indefinite systems of linear equations. Zbl 0319.65025Paige, C. C.; Saunders, M. A. 446 1975 Sparsity and smoothness via the fused lasso. Zbl 1060.62049Tibshirani, Robert; Saunders, Michael; Rosset, Saharon; Zhu, Ji; Knight, Keith 407 2005 LSQR: An algorithm for sparse linear equations and sparse least squares. Zbl 0478.65016Paige, Christopher C.; Saunders, Michael A. 404 1982 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 297 2001 SNOPT: an SQP algorithm for large-scale constrained optimization. Zbl 1210.90176Gill, Philip E.; Murray, Walter; Saunders, Michael A. 213 2005 SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111Gill, Philip E.; Murray, Walter; Saunders, Michael A. 172 2002 On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Zbl 0624.90062Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Tomlin, J. A.; Wright, Margaret H. 137 1986 Towards a generalized singular value decomposition. Zbl 0471.65018Paige, C. C.; Saunders, M. A. 123 1981 Methods for modifying matrix factorizations. Zbl 0289.65021Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A. 123 1974 Large-scale linearly constrained optimization. Zbl 0383.90074Murtagh, B. A.; Saunders, M. A. 100 1978 LSMR: an iterative algorithm for sparse least-squares problems. Zbl 1232.65052Fong, David Chin-Lung; Saunders, Michael 77 2011 Proximal Newton-type methods for minimizing composite functions. Zbl 1306.65213Lee, Jason D.; Sun, Yuekai; Saunders, Michael A. 64 2014 A practical anti-cycling procedure for linearly constrained optimization. Zbl 0688.90038Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 46 1989 Preconditioners for indefinite systems arising in optimization. Zbl 0749.65037Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A. 39 1992 A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints. Zbl 0477.90069Murtagh, Bruce A.; Saunders, Michael A. 36 1982 Inertia-controlling methods for general quadratic programming. Zbl 0734.90062Gill, P. E.; Murray, W.; Saunders, M. A.; Wright, M. H. 34 1991 On the stability of Cholesky factorization for symmetric quasidefinite systems. Zbl 0878.49020Gill, Philip E.; Saunders, Michael A.; Shinnerl, Joseph R. 29 1996 MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems. Zbl 1230.65050Choi, Sou-Cheng T.; Paige, Christopher C.; Saunders, Michael A. 26 2011 LSRN: A parallel iterative solver for strongly over- or underdetermined systems. Zbl 1298.65053Meng, Xiangrui; Saunders, Michael A.; Mahoney, Michael W. 22 2014 Numerical techniques in mathematical programming. Zbl 0228.90030Bartels, R. H.; Golub, G. H.; Saunders, M. A. 22 1970 Sparse matrix methods in optimization. Zbl 0559.65042Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 22 1984 Solution of sparse rectangular systems using LSQR and Craig. Zbl 0844.65029Saunders, Michael A. 20 1995 Maintaining LU factors of a general sparse matrix. Zbl 0618.65019Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 20 1987 Methods for computing and modifying the LDV factors of a matrix. Zbl 0339.65022Gill, Philip E.; Murray, Walter; Saunders, Michael A. 19 1975 Two conjugate-gradient-type methods for unsymmetric linear equations. Zbl 0652.65022Saunders, M. A.; Simon, H. D.; Yip, E. L. 18 1988 Computing forward-difference intervals for numerical optimization. Zbl 0514.65044Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 18 1983 Cholesky-based methods for sparse least squares: The benefits of regularization. Zbl 0865.65022Saunders, Michael A. 17 1996 Some theoretical properties of an augmented Lagrangian merit function. Zbl 0814.90094Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 16 1992 A globally convergent linearly constrained Lagrangian method for nonlinear optimization. Zbl 1077.90065Friedlander, Michael P.; Saunders, Michael A. 15 2005 Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030Jacobsen, M.; Hansen, P. C.; Saunders, M. A. 14 2003 Solving reduced KKT systems in barrier methods for linear programming. Zbl 0815.65080Gill, P. E.; Murray, W.; Ponceleon, D. B.; Saunders, M. A. 13 1994 Linear least squares and quadratic programming. Zbl 0334.90034Golub, G. H.; Saunders, M. A. 12 1970 A block-LU update for large-scale linear programming. Zbl 0753.65050Eldersveld, Samuel K.; Saunders, Michael A. 9 1992 A fast, stable implementation of the simplex method using Bartels-Golub updating. Zbl 0345.65034Saunders, Michael A. 9 1976 Least squares estimation of discrete linear dynamic systems using orthogonal transformations. Zbl 0358.93037Paige, C. C.; Saunders, M. A. 9 1977 Procedures for optimization problems with a mixture of bounds and general linear constraints. Zbl 0562.90079Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 9 1984 A practical factorization of a Schur complement for PDE-constrained distributed optimal control. Zbl 1327.65225Choi, Youngsoo; Farhat, Charbel; Murray, Walter; Saunders, Michael 9 2015 The simplex algorithm with a new primal and dual pivot rule. Zbl 0812.90115Chen, Hsin-Der; Pardalos, Panos M.; Saunders, Michael A. 8 1994 Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138Pereyra, Victor; Saunders, Michael; Castillo, Jose 8 2013 Properties of a representation of a basis for the null space. Zbl 0579.65035Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Stewart, G. W.; Wright, Margaret H. 8 1985 LSLQ: an iterative method for linear least-squares with an error minimization property. Zbl 1451.65028Estrin, Ron; Orban, Dominique; Saunders, Michael A. 8 2019 A weighted Gram-Schmidt method for convex quadratic programming. Zbl 0545.90080Gill, Philip E.; Gould, Nicholas I. M.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 8 1984 Variational Bayesian image restoration based on a product of \(t\)-distributions image prior. Zbl 1371.94080Chantas, Giannis; Galatsanos, Nikolaos; Likas, Aristidis; Saunders, Michael 6 2008 A note on a sufficient-decrease criterion for a non-derivative step- length procedure. Zbl 0482.90077Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 6 1982 Computing projections with LSQR. Zbl 0870.65032Saunders, Michael A. 6 1997 LNLQ: an iterative method for least-norm problems with an error minimization property. Zbl 1435.65050Estrin, Ron; Orban, Dominique; Saunders, Michael A. 6 2019 A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks. Zbl 1307.92104Fleming, R. M. T.; Maes, C. M.; Saunders, M. A.; Ye, Y.; Palsson, B.Ø. 6 2012 Numerical stability in large-scale linear programming. Zbl 0313.65048Saunders, M. A. 5 1973 Spaseloc: an adaptive subproblem algorithm for scalable wireless sensor network localization. Zbl 1136.90321Carter, Michael W.; Jin, Holly H.; Saunders, Michael A.; Ye, Yinyu 5 2006 A Schur-complement method for sparse quadratic programming. Zbl 0725.65060Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 5 1990 Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems. Zbl 1305.65117Choi, Sou-Cheng T.; Saunders, Michael A. 5 2014 Euclidean-norm error bounds for SYMMLQ and CG. Zbl 1409.65015Estrin, Ron; Orban, Dominique; Saunders, Michael 4 2019 Major Cholesky would feel proud. Zbl 0800.90698Saunders, Michael A. 3 1994 Model building and practical aspects of nonlinear programming. Zbl 0587.90082Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 3 1985 Solving multiscale linear programs using the simplex method in quadruple precision. Zbl 1330.65088Ma, Ding; Saunders, Michael A. 3 2015 Conditions for duality between fluxes and concentrations in biochemical networks. Zbl 1405.92103Fleming, Ronan M. T.; Vlassis, Nikos; Thiele, Ines; Saunders, Michael A. 3 2016 Primal-dual methods for linear programming. Zbl 0855.90081Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A. 2 1995 Large-scale SQP methods and their application in trajectory optimization. Zbl 0806.49025Gill, Philip E.; Murray, Walter; Saunders, Michael A. 2 1994 A practical interior-point method for convex programming. Zbl 0827.65066Jarre, Florian; Saunders, Michael A. 2 1995 On the performance of SQP methods for nonlinear optimization. Zbl 1372.65170Gill, Philip E.; Saunders, Michael A.; Wong, Elizabeth 1 2015 Recent developments in constrained optimization. Zbl 0659.90075Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1988 Descent methods for minimisation. Zbl 0343.90044Osborne, M.; Saunders, M. A. 1 1972 Implementing a smooth exact penalty function for equality-constrained nonlinear optimization. Zbl 1447.90063Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A. 1 2020 Implementing a smooth exact penalty function for general constrained nonlinear optimization. Zbl 1447.90064Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A. 1 2020 Linearly constrained optimization. Zbl 0571.90073Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1982 QP-based methods for large-scale nonlinearly constrained optimization. Zbl 0534.49026Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1981 Sequential quadratic programming methods for nonlinear programming. Zbl 0551.90079Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1984 Implementing a smooth exact penalty function for equality-constrained nonlinear optimization. Zbl 1447.90063Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A. 1 2020 Implementing a smooth exact penalty function for general constrained nonlinear optimization. Zbl 1447.90064Estrin, Ron; Friedlander, Michael P.; Orban, Dominique; Saunders, Michael A. 1 2020 LSLQ: an iterative method for linear least-squares with an error minimization property. Zbl 1451.65028Estrin, Ron; Orban, Dominique; Saunders, Michael A. 8 2019 LNLQ: an iterative method for least-norm problems with an error minimization property. Zbl 1435.65050Estrin, Ron; Orban, Dominique; Saunders, Michael A. 6 2019 Euclidean-norm error bounds for SYMMLQ and CG. Zbl 1409.65015Estrin, Ron; Orban, Dominique; Saunders, Michael 4 2019 Conditions for duality between fluxes and concentrations in biochemical networks. Zbl 1405.92103Fleming, 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 1327.65225Choi, Youngsoo; Farhat, Charbel; Murray, Walter; Saunders, Michael 9 2015 Solving multiscale linear programs using the simplex method in quadruple precision. Zbl 1330.65088Ma, Ding; Saunders, Michael A. 3 2015 On the performance of SQP methods for nonlinear optimization. Zbl 1372.65170Gill, Philip E.; Saunders, Michael A.; Wong, Elizabeth 1 2015 Proximal Newton-type methods for minimizing composite functions. Zbl 1306.65213Lee, Jason D.; Sun, Yuekai; Saunders, Michael A. 64 2014 LSRN: A parallel iterative solver for strongly over- or underdetermined systems. Zbl 1298.65053Meng, Xiangrui; Saunders, Michael A.; Mahoney, Michael W. 22 2014 Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems. Zbl 1305.65117Choi, Sou-Cheng T.; Saunders, Michael A. 5 2014 Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138Pereyra, Victor; Saunders, Michael; Castillo, Jose 8 2013 A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks. Zbl 1307.92104Fleming, 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 1232.65052Fong, David Chin-Lung; Saunders, Michael 77 2011 MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems. Zbl 1230.65050Choi, Sou-Cheng T.; Paige, Christopher C.; Saunders, Michael A. 26 2011 Variational Bayesian image restoration based on a product of \(t\)-distributions image prior. Zbl 1371.94080Chantas, Giannis; Galatsanos, Nikolaos; Likas, Aristidis; Saunders, Michael 6 2008 Spaseloc: an adaptive subproblem algorithm for scalable wireless sensor network localization. Zbl 1136.90321Carter, Michael W.; Jin, Holly H.; Saunders, Michael A.; Ye, Yinyu 5 2006 Sparsity and smoothness via the fused lasso. Zbl 1060.62049Tibshirani, Robert; Saunders, Michael; Rosset, Saharon; Zhu, Ji; Knight, Keith 407 2005 SNOPT: an SQP algorithm for large-scale constrained optimization. Zbl 1210.90176Gill, Philip E.; Murray, Walter; Saunders, Michael A. 213 2005 A globally convergent linearly constrained Lagrangian method for nonlinear optimization. Zbl 1077.90065Friedlander, Michael P.; Saunders, Michael A. 15 2005 Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030Jacobsen, M.; Hansen, P. C.; Saunders, M. A. 14 2003 SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111Gill, Philip E.; Murray, Walter; Saunders, Michael A. 172 2002 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 297 2001 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 516 1999 Computing projections with LSQR. Zbl 0870.65032Saunders, Michael A. 6 1997 On the stability of Cholesky factorization for symmetric quasidefinite systems. Zbl 0878.49020Gill, Philip E.; Saunders, Michael A.; Shinnerl, Joseph R. 29 1996 Cholesky-based methods for sparse least squares: The benefits of regularization. Zbl 0865.65022Saunders, Michael A. 17 1996 Solution of sparse rectangular systems using LSQR and Craig. Zbl 0844.65029Saunders, Michael A. 20 1995 Primal-dual methods for linear programming. Zbl 0855.90081Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A. 2 1995 A practical interior-point method for convex programming. Zbl 0827.65066Jarre, Florian; Saunders, Michael A. 2 1995 Solving reduced KKT systems in barrier methods for linear programming. Zbl 0815.65080Gill, P. E.; Murray, W.; Ponceleon, D. B.; Saunders, M. A. 13 1994 The simplex algorithm with a new primal and dual pivot rule. Zbl 0812.90115Chen, Hsin-Der; Pardalos, Panos M.; Saunders, Michael A. 8 1994 Major Cholesky would feel proud. Zbl 0800.90698Saunders, Michael A. 3 1994 Large-scale SQP methods and their application in trajectory optimization. Zbl 0806.49025Gill, Philip E.; Murray, Walter; Saunders, Michael A. 2 1994 Preconditioners for indefinite systems arising in optimization. Zbl 0749.65037Gill, Philip E.; Murray, Walter; Ponceleón, Dulce B.; Saunders, Michael A. 39 1992 Some theoretical properties of an augmented Lagrangian merit function. Zbl 0814.90094Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 16 1992 A block-LU update for large-scale linear programming. Zbl 0753.65050Eldersveld, Samuel K.; Saunders, Michael A. 9 1992 Inertia-controlling methods for general quadratic programming. Zbl 0734.90062Gill, P. E.; Murray, W.; Saunders, M. A.; Wright, M. H. 34 1991 A Schur-complement method for sparse quadratic programming. Zbl 0725.65060Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 5 1990 A practical anti-cycling procedure for linearly constrained optimization. Zbl 0688.90038Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 46 1989 Two conjugate-gradient-type methods for unsymmetric linear equations. Zbl 0652.65022Saunders, M. A.; Simon, H. D.; Yip, E. L. 18 1988 Recent developments in constrained optimization. Zbl 0659.90075Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1988 Maintaining LU factors of a general sparse matrix. Zbl 0618.65019Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 20 1987 On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Zbl 0624.90062Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Tomlin, J. A.; Wright, Margaret H. 137 1986 Properties of a representation of a basis for the null space. Zbl 0579.65035Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Stewart, G. W.; Wright, Margaret H. 8 1985 Model building and practical aspects of nonlinear programming. Zbl 0587.90082Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 3 1985 Sparse matrix methods in optimization. Zbl 0559.65042Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 22 1984 Procedures for optimization problems with a mixture of bounds and general linear constraints. Zbl 0562.90079Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 9 1984 A weighted Gram-Schmidt method for convex quadratic programming. Zbl 0545.90080Gill, Philip E.; Gould, Nicholas I. M.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 8 1984 Sequential quadratic programming methods for nonlinear programming. Zbl 0551.90079Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1984 Computing forward-difference intervals for numerical optimization. Zbl 0514.65044Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 18 1983 LSQR: An algorithm for sparse linear equations and sparse least squares. Zbl 0478.65016Paige, Christopher C.; Saunders, Michael A. 404 1982 A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints. Zbl 0477.90069Murtagh, Bruce A.; Saunders, Michael A. 36 1982 A note on a sufficient-decrease criterion for a non-derivative step- length procedure. Zbl 0482.90077Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 6 1982 Linearly constrained optimization. Zbl 0571.90073Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1982 Towards a generalized singular value decomposition. Zbl 0471.65018Paige, C. C.; Saunders, M. A. 123 1981 QP-based methods for large-scale nonlinearly constrained optimization. Zbl 0534.49026Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. 1 1981 Large-scale linearly constrained optimization. Zbl 0383.90074Murtagh, B. A.; Saunders, M. A. 100 1978 Least squares estimation of discrete linear dynamic systems using orthogonal transformations. Zbl 0358.93037Paige, C. C.; Saunders, M. A. 9 1977 A fast, stable implementation of the simplex method using Bartels-Golub updating. Zbl 0345.65034Saunders, Michael A. 9 1976 Solution of sparse indefinite systems of linear equations. Zbl 0319.65025Paige, C. C.; Saunders, M. A. 446 1975 Methods for computing and modifying the LDV factors of a matrix. Zbl 0339.65022Gill, Philip E.; Murray, Walter; Saunders, Michael A. 19 1975 Methods for modifying matrix factorizations. Zbl 0289.65021Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A. 123 1974 Numerical stability in large-scale linear programming. Zbl 0313.65048Saunders, M. A. 5 1973 Descent methods for minimisation. Zbl 0343.90044Osborne, M.; Saunders, M. A. 1 1972 Numerical techniques in mathematical programming. Zbl 0228.90030Bartels, R. H.; Golub, G. H.; Saunders, M. A. 22 1970 Linear least squares and quadratic programming. Zbl 0334.90034Golub, G. H.; Saunders, M. A. 12 1970 all cited Publications top 5 cited Publications all top 5 Cited by 5,130 Authors 32 Reichel, Lothar 23 Saunders, Michael A. 20 Wathen, Andrew John 18 Orban, Dominique 17 Gill, Philip E. 17 Gondzio, Jacek 16 Martínez, José Mario 16 Yuan, Xiaoming 15 Jia, Zhongxiao 15 Murray, Walter 15 Stoll, Martin 14 Boyd, Stephen Poythress 14 Tibshirani, Ryan J. 13 Fadili, Jalal M. 13 Peyré, Gabriel 13 Wei, Musheng 12 Huang, Ting-Zhu 12 Rauhut, Holger 12 Toh, Kim Chuan 12 Toint, Philippe L. 11 Axelsson, Axel Owe Holger 11 Elad, Michael 11 Paige, Christopher C. 11 Pu, Dingguo 10 Chung, Julianne M. 10 Hayami, Ken 10 He, Bingsheng 10 Morikuni, Keiichi 10 Shen, Chungen 10 Terlaky, Tamás 9 Arora, Jasbir S. 9 Calvetti, Daniela 9 Fang, Shu-Cherng 9 Goldfarb, Donald 9 Golub, Gene Howard 9 Hager, William W. 9 Nocedal, Jorge 9 O’Leary, Dianne P. 9 Plemmons, Robert James 9 Robinson, Daniel P. 9 Stingl, Michael 9 Tibshirani, Robert John 9 Tůma, Miroslav 9 Tutz, Gerhard E. 9 Van de Geer, Sara Anna 9 Xiang, Yujiang 8 Barton, Paul I. 8 Byrd, Richard H. 8 Curtis, Frank E. 8 Jbilou, Khalide 8 Karimi, Saeed 8 Kirches, Christian 8 Lu, Xiliang 8 Lukšan, Ladislav 8 Ma, Changfeng 8 Pearson, John W. 8 Pestana, Jennifer 8 Ravnik, Jure 8 Rozložník, Miroslav 8 Sadok, Hassane 8 Shanno, David F. 8 Sherali, Hanif D. 8 Stolpe, Mathias 8 Todd, Michael J. 7 Birgin, Ernesto G. 7 Bühlmann, Peter 7 Capobianco, Enrico 7 Chen, Wengu 7 Dai, Hua 7 Darve, Eric 7 Estrin, Ron 7 Friedlander, Michael P. 7 Hochstenbach, Michiel E. 7 Jiao, Yuling 7 Kanzow, Christian 7 Kočvara, Michal 7 Kong, Lingchen 7 Kutyniok, Gitta 7 Lian, Heng 7 Liang, Zhaozheng 7 Lu, Zhaosong 7 Martins, Joaquim R. R. A. 7 Nagy, James Gerard 7 Pan, Ping-Qi 7 Pang, Jong-Shi 7 Qiu, Yuyang 7 Rao, Anil V. 7 Rinaldi, Francesco 7 Roos, Cornelis 7 Schoen, Fabio 7 Scott, Jennifer A. 7 Sun, Defeng 7 Taylor, Jonathan E. 7 Wang, Qingwen 7 Wright, Margaret H. 7 Yu, Bo 7 Yun, Sangwoon 7 Zhang, Shuzhong 7 Zhao, Yunbin 7 Zhu, Ji ...and 5,030 more Authors all top 5 Cited in 409 Serials 124 Computational Optimization and Applications 110 Linear Algebra and its Applications 109 Journal of Computational and Applied Mathematics 101 Mathematical Programming. Series A. Series B 87 Journal of Optimization Theory and Applications 81 SIAM Journal on Scientific Computing 72 Numerical Algorithms 57 Optimization Methods & Software 56 Applied Mathematics and Computation 56 Computational Statistics and Data Analysis 55 The Annals of Statistics 53 SIAM Journal on Optimization 52 Journal of Computational Physics 48 Applied and Computational Harmonic Analysis 47 Mathematical Programming 47 SIAM Journal on Matrix Analysis and Applications 47 European Journal of Operational Research 45 BIT 38 Computers & Mathematics with Applications 37 Computer Methods in Applied Mechanics and Engineering 37 Electronic Journal of Statistics 36 Applied Numerical Mathematics 32 Journal of Scientific Computing 31 Numerical Linear Algebra with Applications 30 Computers & Operations Research 30 Annals of Operations Research 29 Numerische Mathematik 28 Automatica 28 Mathematical Problems in Engineering 27 Inverse Problems 27 Journal of Global Optimization 25 Mathematics of Computation 25 International Journal of Computer Mathematics 23 Neural Computation 23 Optimization and Engineering 23 The Annals of Applied Statistics 22 Optimization 22 SIAM Journal on Imaging Sciences 22 Mathematical Programming Computation 20 Structural and Multidisciplinary Optimization 19 Journal of the American Statistical Association 18 Journal of Machine Learning Research (JMLR) 16 Journal of Mathematical Imaging and Vision 16 Journal of Computational and Graphical Statistics 16 Statistics and Computing 15 Journal of the Franklin Institute 15 Journal of Multivariate Analysis 14 Mathematics of Operations Research 14 Statistical Science 14 Signal Processing 14 Applied Mathematical Modelling 13 Biometrics 13 Journal of Econometrics 13 SIAM Journal on Numerical Analysis 13 Machine Learning 13 Communications in Statistics. Simulation and Computation 13 Pattern Recognition 12 Journal of Statistical Computation and Simulation 12 Computational and Applied Mathematics 12 The Journal of Fourier Analysis and Applications 11 Computers and Fluids 11 International Journal of Control 11 International Journal for Numerical Methods in Engineering 11 Operations Research Letters 11 Engineering Analysis with Boundary Elements 11 Science China. Mathematics 10 Computing 10 Information Sciences 10 Numerical Functional Analysis and Optimization 10 Journal of Applied Statistics 10 Optimization Letters 9 Journal of Statistical Planning and Inference 9 Mathematics and Computers in Simulation 9 Communications in Statistics. Theory and Methods 9 Advances in Computational Mathematics 9 Abstract and Applied Analysis 9 Foundations of Computational Mathematics 9 Journal of Industrial and Management Optimization 9 SIAM Journal on Mathematics of Data Science 8 Optimal Control Applications & Methods 8 Circuits, Systems, and Signal Processing 8 INFORMS Journal on Computing 8 Computational Geosciences 8 Multiscale Modeling & Simulation 8 Inverse Problems in Science and Engineering 8 Journal of the Korean Statistical Society 8 SIAM/ASA Journal on Uncertainty Quantification 7 Computer Physics Communications 7 Calcolo 7 Computational Mechanics 7 Journal of Economic Dynamics & Control 7 Japan Journal of Industrial and Applied Mathematics 7 Computational Statistics 7 Mathematical Methods of Operations Research 7 Journal of the Royal Statistical Society. Series B. Statistical Methodology 7 Journal of Applied Mathematics 7 Journal of Applied Mathematics and Computing 7 International Journal of Wavelets, Multiresolution and Information Processing 7 Advances in Data Analysis and Classification. ADAC 7 Inverse Problems and Imaging ...and 309 more Serials all top 5 Cited in 54 Fields 1,554 Numerical analysis (65-XX) 1,216 Operations research, mathematical programming (90-XX) 641 Statistics (62-XX) 363 Information and communication theory, circuits (94-XX) 299 Calculus of variations and optimal control; optimization (49-XX) 275 Computer science (68-XX) 263 Linear and multilinear algebra; matrix theory (15-XX) 118 Partial differential equations (35-XX) 118 Systems theory; control (93-XX) 99 Fluid mechanics (76-XX) 94 Mechanics of deformable solids (74-XX) 91 Biology and other natural sciences (92-XX) 67 Probability theory and stochastic processes (60-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 51 Operator theory (47-XX) 45 Geophysics (86-XX) 35 Approximations and expansions (41-XX) 31 Mechanics of particles and systems (70-XX) 31 Optics, electromagnetic theory (78-XX) 29 Combinatorics (05-XX) 22 Integral equations (45-XX) 16 Functional analysis (46-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Ordinary differential equations (34-XX) 14 Quantum theory (81-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Convex and discrete geometry (52-XX) 9 Integral transforms, operational calculus (44-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Astronomy and astrophysics (85-XX) 5 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year