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Viewing Publication 1 - 53 from 53

2025

MinAres: An Iterative Solver for Symmetric Linear SystemsAlexis Montoison, Dominique Orban, Michael A. Saunders. siammax, 46(1):509-529, 2025. [doi]

Iterative methods in GPU-resident linear solvers for nonlinear constrained optimizationKasia Swirydowicz, Nicholson Koukpaizan, Maksudul Alam, Shaked Regev, Michael A. Saunders, Slaven Peles. pc, 123:103123, 2025. [doi]

2023

PLSS: A Projected Linear Systems SolverJohannes J. Brust, Michael A. Saunders. siamsc, 45(2):1012, April 2023. [doi]

Properties of semi-conjugate gradient methods for solving unsymmetric positive definite linear systemsNa Huang, Yu-Hong Dai, Dominique Orban, Michael A. Saunders. oms, 38(5):887-913, September 2023. [doi]

On GSOR, the Generalized Successive Overrelaxation Method for Double Saddle-Point ProblemsNa Huang, Yu-Hong Dai, Dominique Orban, Michael A. Saunders. siamsc, 45(5):2185, October 2023. [doi]

HyKKT: a hybrid direct-iterative method for solving KKT linear systemsShaked Regev, Naiyuan Chiang, Eric Darve, Cosmin G. Petra, Michael A. Saunders, Kasia Swirydowicz, Slaven Peles. oms, 38(2):332-355, March 2023. [doi]

2022

2020

Implementing a Smooth Exact Penalty Function for Equality-Constrained Nonlinear OptimizationRon Estrin, Michael P. Friedlander, Dominique Orban, Michael A. Saunders. siamsc, 42(3), 2020. [doi]

Implementing a Smooth Exact Penalty Function for General Constrained Nonlinear OptimizationRon Estrin, Michael P. Friedlander, Dominique Orban, Michael A. Saunders. siamsc, 42(3), 2020. [doi]

2019

Euclidean-Norm Error Bounds for SYMMLQ and CGRon Estrin, Dominique Orban, Michael A. Saunders. siammax, 40(1):235-253, 2019. [doi]

LSLQ: An Iterative Method for Linear Least-Squares with an Error Minimization PropertyRon Estrin, Dominique Orban, Michael A. Saunders. siammax, 40(1):254-275, 2019. [doi]

LNLQ: An Iterative Method for Least-Norm Problems with an Error Minimization PropertyRon Estrin, Dominique Orban, Michael A. Saunders. siammax, 40(3):1102-1124, 2019. [doi]

Estimating Cellular Goals from High-Dimensional Biological DataLaurence Yang, Michael A. Saunders, Jean-Christophe Lachance, Bernhard O. Palsson, José Bento. kdd 2019: 2202-2211 [doi]

DynamicME: dynamic simulation and refinement of integrated models of metabolism and protein expressionLaurence Yang, Ali Ebrahim, Colton J. Lloyd, Michael A. Saunders, Bernhard O. Palsson. bmcsb, 13(1), 2019. [doi]

2016

solveME: fast and reliable solution of nonlinear ME modelsLaurence Yang, Ding Ma, Ali Ebrahim, Colton J. Lloyd, Michael A. Saunders, Bernhard O. Palsson. bmcbi, 17:391, 2016. [doi]

Feature-distributed sparse regression: a screen-and-clean approachJiyan Yang, Michael W. Mahoney, Michael A. Saunders, Yuekai Sun. nips 2016: 2712-2720 [doi]

2015

A Practical Factorization of a Schur Complement for PDE-Constrained Distributed Optimal ControlYoungsoo Choi, Charbel Farhat, Walter Murray, Michael A. Saunders. jscic, 65(2):576-597, 2015. [doi]

2014

Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problemsSou-Cheng T. Choi, Michael A. Saunders. TOMS, 40(2):16, 2014. [doi]

Proximal Newton-Type Methods for Minimizing Composite FunctionsJason D. Lee, Yuekai Sun, Michael A. Saunders. siamjo, 24(3):1420-1443, 2014. [doi]

LSRN: A Parallel Iterative Solver for Strongly Over- or Underdetermined SystemsXiangrui Meng, Michael A. Saunders, Michael W. Mahoney. siamsc, 36(2), 2014. [doi]

2013

Robust flux balance analysis of multiscale biochemical reaction networksYuekai Sun, Ronan M. T. Fleming, Ines Thiele, Michael A. Saunders. bmcbi, 14:240, 2013. [doi]

2012

Proximal Newton-type methods for convex optimizationJason D. Lee, Yuekai Sun, Michael A. Saunders. nips 2012: 836-844 [doi]

2011

MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric SystemsSou-Cheng T. Choi, Christopher C. Paige, Michael A. Saunders. siamsc, 33(4):1810-1836, 2011. [doi]

LSMR: An Iterative Algorithm for Sparse Least-Squares ProblemsDavid Chin-Lung Fong, Michael A. Saunders. siamsc, 33(5):2950-2971, 2011. [doi]

2009

Stabilizing Policy Improvement for Large-Scale Infinite-Horizon Dynamic ProgrammingMichael J. O Sullivan, Michael A. Saunders. siammax, 31(2):434-459, 2009. [doi]

2008

George B. Dantzig and systems optimizationPhilip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright. disopt, 5(2):151-158, 2008. [doi]

2007

Methods for modifying matrix factorizationsGene H. Golub, Philip E. Gill, Walter Murray, Michael A. Saunders. In Raymond Hon-Fu Chan, Chen Greif, Dianne P. O'Leary, editors, Milestones in Matrix Computation - Selected Works of Gene H. Golub, with Commentaries. pages 309-344, Oxford University Press, 2007.

2006

SpaseLoc: An Adaptive Subproblem Algorithm for Scalable Wireless Sensor Network LocalizationMichael W. Carter, Holly H. Jin, Michael A. Saunders, Yinyu Ye. siamjo, 17(4):1102-1128, 2006. [doi]

2005

A Globally Convergent Linearly Constrained Lagrangian Method for Nonlinear OptimizationMichael P. Friedlander, Michael A. Saunders. siamjo, 15(3):863-897, 2005. [doi]

SNOPT: An SQP Algorithm for Large-Scale Constrained OptimizationPhilip E. Gill, Walter Murray, Michael A. Saunders. siamrev, 47(1):99-131, 2005. [doi]

2004

A bisection algorithm for the mixed /spl mu/ upper bound and its supremumCarl-Magnus Fransson, Michael A. Saunders. amcc 2004: 2665-2670 [doi]

2002

SNOPT: An SQP Algorithm for Large-Scale Constrained OptimizationPhilip E. Gill, Walter Murray, Michael A. Saunders. siamjo, 12(4):979-1006, 2002. [doi]

2001

Atomic Decomposition by Basis PursuitScott Shaobing Chen, David L. Donoho, Michael A. Saunders. siamrev, 43(1):129-159, 2001. [doi]

1998

Atomic Decomposition by Basis PursuitScott Shaobing Chen, David L. Donoho, Michael A. Saunders. siamsc, 20(1):33-61, 1998. [doi]

1996

On the Stability of Cholesky Factorization for Symmetric Quasidefinite SystemsPhilip E. Gill, Michael A. Saunders, Joseph R. Shinnerl. siammax, 17(1):35-46, 1996. [doi]

1995

Primal - dual methods for linear programmingPhilip E. Gill, Walter Murray, Dulce B. Ponceleon, Michael A. Saunders. mp, 70:251-277, 1995. [doi]

A Practical Interior-Point Method for Convex ProgrammingFlorian Jarre, Michael A. Saunders. siamjo, 5(1):149-171, 1995. [doi]

1994

The simplex algorithm with a new primal and dual pivot ruleHsin-Der Chen, Panos M. Pardalos, Michael A. Saunders. orl, 16(3):121-127, 1994. [doi]

Commentary - Major Cholesky Would Feel ProudMichael A. Saunders. informs, 6(1):23-27, 1994. [doi]

1992

A Block-LU Update for Large-Scale Linear ProgrammingSamuel K. Eldersveld, Michael A. Saunders. siammax, 13(1):191-201, 1992. [doi]

Preconditioners for Indefinite Systems Arising in OptimizationPhilip E. Gill, Walter Murray, Dulce B. Ponceleón, Michael A. Saunders. siammax, 13(1):292-311, 1992. [doi]

1991

Inertia-Controlling Methods for General Quadratic ProgrammingPhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. siamrev, 33(1):1-36, 1991. [doi]

1989

A practical anti-cycling procedure for linearly constrained optimizationPhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. mp, 45(1-3):437-474, 1989. [doi]

1986

On projected newton barrier methods for linear programming and an equivalence to Karmarkar's projective methodPhilip E. Gill, Walter Murray, Michael A. Saunders, John A. Tomlin, Margaret H. Wright. mp, 36(2):183-209, 1986. [doi]

1985

Properties of a representation of a basis for the null spacePhilip E. Gill, Walter Murray, Michael A. Saunders, G. W. Stewart, Margaret H. Wright. mp, 33(2):172-186, 1985. [doi]

1984

Procedures for optimization problems with a mixture of bounds and general linear constraintsPhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. TOMS, 10(3):282-298, 1984. [doi]

A weighted gram-schmidt method for convex quadratic programmingPhilip E. Gill, Nicholas I. M. Gould, Walter Murray, Michael A. Saunders, Margaret H. Wright. mp, 30(2):176-195, 1984. [doi]

1982

A note on a sufficient-decrease criterion for a non-derivative step-length procedurePhilip E. Gill, Walter Murray, Michael A. Saunders, Margaret H. Wright. mp, 23(1):349-352, 1982. [doi]

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least SquaresChristopher C. Paige, Michael A. Saunders. TOMS, 8(1):43-71, 1982. [doi]

Algorithm 583: LSQR: Sparse Linear Equations and Least Squares ProblemsChristopher C. Paige, Michael A. Saunders. TOMS, 8(2):195-209, 1982. [doi]

1978

Large-scale linearly constrained optimizationBruce A. Murtagh, Michael A. Saunders. mp, 14(1):41-72, 1978. [doi]

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