Large-scale linear programming using the Cholesky factorization. - Michael A. Saunders (1972)

Large-scale linearly constrained optimization. - Bruce A. Murtagh; Michael A. Saunders (Math. Program., 1978)

A note on a sufficient-decrease criterion for a non-derivative step-length procedure. - Philip E. Gill; Walter Murray; Michael A. Saunders; Margaret H. Wright (Math. Program., 1982)

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares. - Christopher C. Paige; Michael A. Saunders (ACM Trans. Math. Softw., 1982)

Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems. - Christopher C. Paige; Michael A. Saunders (ACM Trans. Math. Softw., 1982)

A weighted gram-schmidt method for convex quadratic programming. - Philip E. Gill; Nicholas I. M. Gould; Walter Murray; Michael A. Saunders; Margaret H. Wright (Math. Program., 1984)

Procedures for optimization problems with a mixture of bounds and general linear constraints. - Philip E. Gill; Walter Murray; Michael A. Saunders; Margaret H. Wright (ACM Trans. Math. Softw., 1984)

Properties of a representation of a basis for the null space. - Philip E. Gill; Walter Murray; Michael A. Saunders; G. W. Stewart; Margaret H. Wright (Math. Program., 1985)

On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective method. - Philip E. Gill; Walter Murray; Michael A. Saunders; John A. Tomlin; Margaret H. Wright (Math. Program., 1986)

A practical anti-cycling procedure for linearly constrained optimization. - Philip E. Gill; Walter Murray; Michael A. Saunders; Margaret H. Wright (Math. Program., 1989)

Inertia-Controlling Methods for General Quadratic Programming. - Philip E. Gill; Walter Murray; Michael A. Saunders; Margaret H. Wright (SIAM Rev., 1991)

A Block-LU Update for Large-Scale Linear Programming. - Samuel K. Eldersveld; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 1992)

Preconditioners for Indefinite Systems Arising in Optimization. - Philip E. Gill; Walter Murray; Dulce B. Ponceleón; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 1992)

Commentary - Major Cholesky Would Feel Proud. - Michael A. Saunders (INFORMS J. Comput., 1994)

The simplex algorithm with a new primal and dual pivot rule. - Hsin-Der Chen; Panos M. Pardalos; Michael A. Saunders (Oper. Res. Lett., 1994)

Primal - dual methods for linear programming. - Philip E. Gill; Walter Murray; Dulce B. Ponceleon; Michael A. Saunders (Math. Program., 1995)

A Practical Interior-Point Method for Convex Programming. - Florian Jarre; Michael A. Saunders (SIAM J. Optim., 1995)

On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems. - Philip E. Gill; Michael A. Saunders; Joseph R. Shinnerl (SIAM J. Matrix Anal. Appl., 1996)

Atomic Decomposition by Basis Pursuit. - Scott Shaobing Chen; David L. Donoho; Michael A. Saunders (SIAM Rev., 2001)

SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization. - Philip E. Gill; Walter Murray; Michael A. Saunders (SIAM J. Optim., 2002)

A bisection algorithm for the mixed μ upper bound and its supremum. - Carl-Magnus Fransson; Michael A. Saunders (ACC, 2004)

A Globally Convergent Linearly Constrained Lagrangian Method for Nonlinear Optimization. - Michael P. Friedlander; Michael A. Saunders (SIAM J. Optim., 2005)

SpaseLoc: An Adaptive Subproblem Algorithm for Scalable Wireless Sensor Network Localization. - Michael W. Carter; Holly H. Jin; Michael A. Saunders; Yinyu Ye 001 (SIAM J. Optim., 2006)

Methods for modifying matrix factorizations. - Gene H. Golub; Philip E. Gill; Walter Murray; Michael A. Saunders (Milestones in Matrix Computation, 2007)

George B. Dantzig and systems optimization. - Philip E. Gill; Walter Murray; Michael A. Saunders; John A. Tomlin; Margaret H. Wright (Discret. Optim., 2008)

Variational Bayesian Image Restoration Based on a Product of t-Distributions Image Prior. - Giannis K. Chantas; Nikolas P. Galatsanos; Aristidis Likas; Michael A. Saunders (IEEE Trans. Image Process., 2008)

Stabilizing Policy Improvement for Large-Scale Infinite-Horizon Dynamic Programming. - Michael J. O'Sullivan; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 2009)

Nonconservative Robust Control: Optimized and Constrained Sensitivity Functions. - Carl-Magnus Fransson; Torsten Wik; Bengt Lennartson; Michael A. Saunders; Per Olof Gutman (IEEE Trans. Control. Syst. Technol., 2009)

LSRN: A Parallel Iterative Solver for Strongly Over- or Under-Determined Systems - Xiangrui Meng; Michael A. Saunders; Michael W. Mahoney (CoRR, 2011)

MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems. - Sou-Cheng T. Choi; Christopher C. Paige; Michael A. Saunders (SIAM J. Sci. Comput., 2011)

LSMR: An Iterative Algorithm for Sparse Least-Squares Problems. - David Chin-Lung Fong; Michael A. Saunders (SIAM J. Sci. Comput., 2011)

Proximal Newton-type methods for convex optimization. - Jason D. Lee; Yuekai Sun; Michael A. Saunders (NIPS, 2012)

Proximal Newton-type Methods for Minimizing Convex Objective Functions in Composite Form - Jason D. Lee; Yuekai Sun; Michael A. Saunders (CoRR, 2012)

Robust flux balance analysis of multiscale biochemical reaction networks. - Yuekai Sun; Ronan M. T. Fleming; Ines Thiele; Michael A. Saunders (BMC Bioinform., 2013)

ALGORITHM xxx: MINRES-QLP for Singular Symmetric and Hermitian Linear Equations and Least-Squares Problems - Sou-Cheng T. Choi; Michael A. Saunders (CoRR, 2013)

Equispaced Pareto front construction for constrained bi-objective optimization. - Víctor Pereyra; Michael A. Saunders; José Castillo 001 (Math. Comput. Model., 2013)

A flexible modeling framework for coupled matrix and tensor factorizations. - Evrim Acar; Mathias Nilsson; Michael A. Saunders (EUSIPCO, 2014)

Proximal Newton-Type Methods for Minimizing Composite Functions. - Jason D. Lee; Yuekai Sun; Michael A. Saunders (SIAM J. Optim., 2014)

LSRN: A Parallel Iterative Solver for Strongly Over- or Underdetermined Systems. - Xiangrui Meng; Michael A. Saunders; Michael W. Mahoney (SIAM J. Sci. Comput., 2014)

Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems. - Sou-Cheng T. Choi; Michael A. Saunders (ACM Trans. Math. Softw., 2014)

A Practical Factorization of a Schur Complement for PDE-Constrained Distributed Optimal Control. - Youngsoo Choi; Charbel Farhat; Walter Murray; Michael A. Saunders (J. Sci. Comput., 2015)

Feature-distributed sparse regression: a screen-and-clean approach. - Jiyan Yang; Michael W. Mahoney; Michael A. Saunders; Yuekai Sun (NIPS, 2016)

solveME: fast and reliable solution of nonlinear ME models. - Laurence Yang 001; Ding Ma 003; Ali Ebrahim; Colton J. Lloyd; Michael A. Saunders; Bernhard O. Palsson (BMC Bioinform., 2016)

Heart rate analysis by sparse representation for acute pain detection. - Shai Tejman-Yarden; Ofer Levi; Alex Beizerov; Yisrael Parmet; Tu Viet Nguyen; Michael A. Saunders; Zvia Rudich; James C. Perry; Dewleen G. Baker; Tobias Möller-Bertram (Medical Biol. Eng. Comput., 2016)

Compile-Time Symbolic Differentiation Using C++ Expression Templates. - Drosos Kourounis; Leonidas Gergidis; Michael A. Saunders; Andrea Walther; Olaf Schenk (CoRR, 2017)

Estimating Cellular Goals from High-Dimensional Biological Data. - Laurence Yang 001; Michael A. Saunders; Jean-Christophe Lachance; Bernhard O. Palsson; José Bento 001 (KDD, 2019)

DynamicME: dynamic simulation and refinement of integrated models of metabolism and protein expression. - Laurence Yang 001; Ali Ebrahim; Colton J. Lloyd; Michael A. Saunders; Bernhard O. Palsson (BMC Syst. Biol., 2019)

Euclidean-Norm Error Bounds for SYMMLQ and CG. - Ron Estrin; Dominique Orban; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 2019)

LSLQ: An Iterative Method for Linear Least-Squares with an Error Minimization Property. - Ron Estrin; Dominique Orban; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 2019)

LNLQ: An Iterative Method for Least-Norm Problems with an Error Minimization Property. - Ron Estrin; Dominique Orban; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 2019)

Implementing a Smooth Exact Penalty Function for Equality-Constrained Nonlinear Optimization. - Ron Estrin; Michael P. Friedlander; Dominique Orban; Michael A. Saunders (SIAM J. Sci. Comput., 2020)

Implementing a Smooth Exact Penalty Function for General Constrained Nonlinear Optimization. - Ron Estrin; Michael P. Friedlander; Dominique Orban; Michael A. Saunders (SIAM J. Sci. Comput., 2020)

A Julia implementation of Algorithm NCL for constrained optimization. - Ding Ma 003; Dominique Orban; Michael A. Saunders (CoRR, 2021)

A Hybrid Direct-Iterative Method for Solving KKT Linear Systems. - Shaked Regev; Naiyuan Chiang; Eric Darve; Cosmin G. Petra; Michael A. Saunders; Kasia Swirydowicz; Slaven Peles (CoRR, 2021)

Toeplitz Least Squares Problems, Fast Algorithms and Big Data. - Ali Eshragh; Oliver Di Pietro; Michael A. Saunders (CoRR, 2021)

A semi-conjugate gradient method for solving unsymmetric positive definite linear systems. - Na Huang; Yu-Hong Dai; Dominique Orban; Michael A. Saunders (CoRR, 2022)

Linear systems arising in interior methods for convex optimization: a symmetric formulation with bounded condition number. - Alexandre Ghannad; Dominique Orban; Michael A. Saunders (Optim. Methods Softw., 2022)

Linear solvers for power grid optimization problems: A review of GPU-accelerated linear solvers. - Kasia Swirydowicz; Eric Darve; Wesley B. Jones; Jonathan Maack; Shaked Regev; Michael A. Saunders; Stephen J. Thomas; Slaven Peles (Parallel Comput., 2022)

Large-Scale Optimization with Linear Equality Constraints Using Reduced Compact Representation. - Johannes J. Brust; Roummel F. Marcia; Cosmin G. Petra; Michael A. Saunders (SIAM J. Sci. Comput., 2022)

HyKKT: a hybrid direct-iterative method for solving KKT linear systems. - Shaked Regev; Naiyuan Chiang; Eric Darve; Cosmin G. Petra; Michael A. Saunders; Kasia Swirydowicz; Slaven Peles (Optim. Methods Softw., 2023)

PLSS: A Projected Linear Systems Solver. - Johannes J. Brust; Michael A. Saunders (SIAM J. Sci. Comput., 2023)

Properties of semi-conjugate gradient methods for solving unsymmetric positive definite linear systems. - Na Huang; Yu-Hong Dai; Dominique Orban; Michael A. Saunders (Optim. Methods Softw., 2023)

On GSOR, the Generalized Successive Overrelaxation Method for Double Saddle-Point Problems. - Na Huang; Yu-Hong Dai; Dominique Orban; Michael A. Saunders (SIAM J. Sci. Comput., 2023)

An inexact augmented Lagrangian algorithm for unsymmetric saddle-point systems. - Na Huang; Yu-Hong Dai; Dominique Orban; Michael A. Saunders (CoRR, 2024)

Structured Sketching for Linear Systems. - Johannes J. Brust; Michael A. Saunders (CoRR, 2024)

Iterative methods in GPU-resident linear solvers for nonlinear constrained optimization. - Kasia Swirydowicz; Nicholson Koukpaizan; Maksudul Alam; Shaked Regev; Michael A. Saunders; Slaven Peles (Parallel Comput., 2025)

MinAres: An Iterative Solver for Symmetric Linear Systems. - Alexis Montoison; Dominique Orban; Michael A. Saunders (SIAM J. Matrix Anal. Appl., 2025)