Michael Saunders
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American numerical analyst and computer scientist
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Michael Saunders computer-science Degrees
Computer Science
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#3174
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Numerical Analysis
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World Rank
#19
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#11
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#1513
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#383
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Computer Science
Michael Saunders 's Degrees
- PhD Computer Science Stanford University
- Masters Computer Science Stanford University
- Bachelors Mathematics Stanford University
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Why Is Michael Saunders Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael Alan Saunders is an American numerical analyst and computer scientist. He is a research professor of Management Science and Engineering at Stanford University. Saunders is known for his contributions to numerical linear algebra and numerical optimization and has developed many widely used software packages, such as MINOS, NPSOL, and SNOPT.
Michael Saunders 's Published Works
Published Works
- Atomic Decomposition by Basis Pursuit (1998) (11376)
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares (1982) (4135)
- SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization (2002) (3928)
- Sparsity and smoothness via the fused lasso (2005) (2556)
- Solution of Sparse Indefinite Systems of Linear Equations (1975) (1695)
- Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems (1982) (719)
- Creation and analysis of biochemical constraint-based models using the COBRA Toolbox v.3.0 (2019) (596)
- Large-scale linearly constrained optimization (1978) (532)
- Towards a Generalized Singular Value Decomposition (1981) (522)
- User''s guide for NPSOL (Ver-sion 4.0): A FORTRAN package for nonlinear programming (1984) (476)
- On projected newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method (1986) (466)
- MINOS 5. 0 user's guide (1983) (386)
- LSMR: An Iterative Algorithm for Sparse Least-Squares Problems (2010) (364)
- A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints (1982) (354)
- User's Guide for SOL/NPSOL: A Fortran Package for Nonlinear Programming. (1983) (306)
- Aquifer Reclamation Design: The Use of Contaminant Transport Simulation Combined With Nonlinear Programing (1984) (277)
- Methods for modifying matrix factorizations (1972) (261)
- Proximal Newton-Type Methods for Minimizing Composite Functions (2012) (258)
- USER’S GUIDE FOR SNOPT 5.3: A FORTRAN PACKAGE FOR LARGE-SCALE NONLINEAR PROGRAMMING (2002) (251)
- Procedures for optimization problems with a mixture of bounds and general linear constraints (1984) (239)
- User's Guide for SNOPT Version 7.4: Software for Large-Scale Nonlinear Programming (2015) (191)
- Preconditioners for Indefinite Systems Arising in Optimization (1992) (158)
- Maintaining LU factors of a general sparse matrix (1987) (144)
- A practical anti-cycling procedure for linearly constrained optimization (1989) (143)
- LSRN: A Parallel Iterative Solver for Strongly Over- or Underdetermined Systems (2011) (140)
- Creation and analysis of biochemical constraint-based models: the COBRA Toolbox v3.0. (2017) (126)
- Inertia-Controlling Methods for General Quadratic Programming (1991) (114)
- Computing Forward-Difference Intervals for Numerical Optimization (1983) (108)
- MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems (2010) (105)
- Proximal Newton-type methods for convex optimization (2012) (104)
- Variational Bayesian Image Restoration Based on a Product of $t$-Distributions Image Prior (2008) (101)
- A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression from Multiple Organisms (2011) (100)
- Large-scale linear programming using the Cholesky factorization (1972) (98)
- Some theoretical properties of an augmented lagrangian merit function (1986) (94)
- SpaseLoc: An Adaptive Subproblem Algorithm for Scalable Wireless Sensor Network Localization (2006) (90)
- Methods for computing and modifying the $LDV$ factors of a matrix (1975) (89)
- Solution of sparse rectangular systems using LSQR and CRAIG (1995) (88)
- Sparse Matrix Methods in Optimization (1984) (80)
- On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems (1996) (79)
- A FAST, STABLE IMPLEMENTATION OF THE SIMPLEX METHOD USING BARTELS-GOLUB UPDATING (1976) (75)
- A Schur-complement method for sparse quadratic programming (1987) (75)
- Numerical techniques in mathematical programming (1970) (74)
- User’s Guide For Snopt Version 6, A Fortran Package for Large-Scale Nonlinear Programming∗ (2002) (73)
- Solving Reduced KKT Systems in Barrier Methods for Linear and Quadratic Programming (1991) (69)
- LEAST SQUARES ESTIMATION OF DISCRETE LINEAR DYNAMIC SYSTEMS USING ORTHOGONAL TRANSFORMATIONS (1977) (68)
- CG Versus MINRES: An Empirical Comparison (2012) (68)
- Subspace Preconditioned LSQR for Discrete Ill-Posed Problems (2003) (65)
- Do genome-scale models need exact solvers or clearer standards? (2015) (60)
- MINOS/AUGMENTED User's Manual. (1980) (59)
- A Globally Convergent Linearly Constrained Lagrangian Method for Nonlinear Optimization (2005) (58)
- Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations (1988) (55)
- Chapter III Constrained nonlinear programming (1989) (53)
- Large-scale SQP methods and their application in trajectory optimization (1994) (52)
- SOLVING REGULARIZED LINEAR PROGRAMS USING BARRIER METHODS AND KKT SYSTEMS (1996) (51)
- Linear least squares and quadratic programming (1969) (49)
- Models and algorithms for pagerank sensitivity (2009) (48)
- Equispaced Pareto front construction for constrained bi-objective optimization (2013) (45)
- A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks. (2011) (45)
- solveME: fast and reliable solution of nonlinear ME models (2016) (42)
- Systems biology definition of the core proteome of metabolism and expression is consistent with high-throughput data (2015) (41)
- Reliable and efficient solution of genome-scale models of Metabolism and macromolecular Expression (2016) (35)
- A weighted gram-schmidt method for convex quadratic programming (1984) (33)
- Robust flux balance analysis of multiscale biochemical reaction networks (2013) (33)
- Properties of a representation of a basis for the null space (1985) (33)
- Model Building and Practical Aspects of Nonlinear Programming (1985) (33)
- Principles of proteome allocation are revealed using proteomic data and genome-scale models (2016) (32)
- Primal—dual methods for linear programming (1995) (32)
- A Block-LU Update for Large-Scale Linear Programming (1992) (29)
- Algorithm 937: MINRES-QLP for symmetric and Hermitian linear equations and least-squares problems (2013) (29)
- User's Guide for SQOPT Version 7.5: Software for Large-Scale Linear and Quadratic Programming (2016) (27)
- A Practical Interior-Point Method for Convex Programming (1995) (25)
- The simplex algorithm with a new primal and dual pivot rule (1994) (23)
- A Practical Factorization of a Schur Complement for PDE-Constrained Distributed Optimal Control (2013) (22)
- Solving Multiscale Linear Programs Using the Simplex Method in Quadruple Precision (2015) (22)
- GLOBAL CONTROLLER OPTIMIZATION USING HOROWITZ BOUNDS (2002) (21)
- DynamicME: dynamic simulation and refinement of integrated models of metabolism and protein expression (2018) (20)
- MINOS. A Large-Scale Nonlinear Programming System (For Problems With Linear Constraints). User's Guide. (1977) (20)
- Nonconservative Robust Control: Optimized and Constrained Sensitivity Functions (2009) (19)
- Conditions for duality between fluxes and concentrations in biochemical networks. (2015) (19)
- DynamicME: dynamic simulation and refinement of integrated models of metabolism and protein expression (2019) (19)
- A Bidiagonalization Algorithm for Sparse Linear Equations and Least-Squares Problems. (1978) (19)
- Computing projections with LSQR (1997) (18)
- Sequential Quadratic Programming Methods for Nonlinear Programming (1984) (18)
- The Implementation of a Lagrangian-Based Algorithm for Sparse Nonlinear Constraints. (1980) (17)
- Proximal Newton-type Methods for Minimizing Convex Objective Functions in Composite Form (2012) (17)
- On the Performance of SQP Methods for Nonlinear Optimization (2015) (15)
- A Note on Nonlinear Approaches to Linear Programming. (1986) (15)
- Nonlinear Programming for Large, Sparse Systems (1976) (14)
- Aspects of mathematical modelling related to optimization (1981) (14)
- Range-Space Methods for Convex Quadratic Programming. (1982) (14)
- Software and its relationship to methods (1984) (14)
- MINOS: A Solver for Large-Scale Nonlinear Optimization Problems (2002) (14)
- A flexible modeling framework for coupled matrix and tensor factorizations (2014) (13)
- Computing Finite-Difference Approximations to Derivatives for Numerical Optimization. (1980) (13)
- Commentary - Major Cholesky Would Feel Proud (1994) (13)
- A note on a sufficient-decrease criterion for a non-derivative step-length procedure (1982) (12)
- George B. Dantzig and systems optimization (2008) (12)
- LNLQ: An Iterative Method for Least-Norm Problems with an Error Minimization Property (2018) (11)
- A numerical comparison between the LANCELOT and MINOS packages for large-scale constrained optimization (1997) (11)
- Discussion: The Dantzig selector: Statistical estimation when p is much larger than n (2007) (11)
- Implementing a smooth exact penalty function for equality-constrained nonlinear optimization (2019) (11)
- Interior-point methods for linear programming: A challenge to the simplex method (1988) (11)
- A numerical comparison between the Lancelot and Minos packages for large-scale nonlinear optimization: the complete results (1997) (10)
- LSLQ: An Iterative Method for Linear Least-Squares with an Error Minimization Property (2019) (10)
- Linear solvers for power grid optimization problems: a review of GPU-accelerated linear solvers (2021) (10)
- QP-Based Methods for Large-Scale Nonlinearly Constrained Optimization. (1981) (10)
- Stable reduction to KKT systems in barrier methods for linear and quadratic programming (1996) (8)
- Some issues in implementing a sequential quadratic programming algorithm (1985) (8)
- A DUAL ACTIVE-SET QUADRATIC PROGRAMMING METHOD FOR FINDING SPARSE LEAST-SQUARES SOLUTIONS (2012) (7)
- Stabilized optimization via an NCL algorithm (2017) (7)
- MINOS(IIS) version 4.2: Analyzing infeasibilities in linear programs (1995) (7)
- Recent developments in constrained optimization (1988) (7)
- Feature-distributed sparse regression: a screen-and-clean approach (2016) (6)
- Considerations of numerical analysis in a sequential quadratic programming method (1986) (6)
- Euclidean-Norm Error Bounds for SYMMLQ and CG (2019) (6)
- A Numerical Investigation of Ellipsoid Algorithms for Large-Scale Linear Programming. (1980) (6)
- NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming. User's Guide. (1986) (6)
- Existence of Positive Steady States for Mass Conserving and Mass-Action Chemical Reaction Networks with a Single Terminal-Linkage Class (2011) (5)
- Representation of a basis for the null space (1983) (5)
- Trends in nonlinear programming software (1984) (5)
- A Procedure for Computing Forward-Difference Intervals for Numerical Optimization. (1981) (5)
- An adaptive primal-dual method for linear programming (1991) (5)
- Implementing a smooth exact penalty function for general constrained nonlinear optimization (2019) (5)
- RANDOMIZED ALGORITHMS FOR LARGE-SCALE STRONGLY OVER-DETERMINED LINEAR REGRESSION PROBLEMS A DISSERTATION SUBMITTED TO THE INSTITUTE FOR COMPUTATIONAL AND MATHEMATICAL ENGINEERING AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF (2014) (4)
- New methods for dynamic programming over an infinite time horizon (2002) (4)
- Practical Aspects of an Interior-Point Method for Convex Programming (1991) (4)
- COMPUTATION OF COVARIANCE MATRICES FOR CONSTRAINED PARAMETER ESTIMATION PROBLEMS USING LSQR (2009) (4)
- Methods for Large-Scale Nonlinear Optimization. (1980) (4)
- Estimating Cellular Goals from High-Dimensional Biological Data (2018) (4)
- SOLUTION OF SPARSE LINEAR EQUATIONS USING CHOLESKY FACTORS OF AUGMENTED SYSTEMS (2000) (4)
- LSSOL (Version 1.0): a Fortran Package for Constrained Linear Least-Squares and Convex Quadratic Programming. User's Guide. (1986) (4)
- BIT Numerical Mathematics: Editorial (2005) (3)
- Large-scale Optimization with Linear Equality Constraints using Reduced Compact Representation (2021) (3)
- Dantzig and systems optimization (2008) (3)
- Linearly constrained optimization (1982) (3)
- Mechanistic model-driven exometabolomic characterisation of human dopaminergic neuronal metabolism (2021) (2)
- Costing part‐time provision (1989) (2)
- A Julia implementation of Algorithm NCL for constrained optimization (2021) (2)
- HyKKT: a hybrid direct-iterative method for solving KKT linear systems (2021) (2)
- The application of nonlinear programming and collocation to optimal aeroassisted orbital transfers (1992) (2)
- ALGORITHM xxx: MINRES-QLP for Singular Symmetric and Hermitian Linear Equations and Least-Squares Problems (2013) (1)
- A Bisection Algorithm for the Mixed μ Upper Bound and its Supremum (2004) (1)
- Robust flux balance analysis of multiscale biochemical reaction networks (2013) (1)
- Solution of multiscale linear programs using Quad precision (2014) (1)
- Quadruple-precision solution of genome-scale models of Metabolism and macromolecular Expression (2016) (1)
- Equispaced Pareto Front Construction for Constrained Multiobjective Optimization (2009) (1)
- Transformed Hessian methods for large-scale constrained optimization (1994) (1)
- Estimates of the 2-norm forward error for SYMMLQ and CG (2016) (0)
- MS & E 318 ( CME 338 ) Large-Scale Numerical Optimization (0)
- Predicting tropical cyclone activity (2003) (0)
- On lifting poorly-scaled ux balance analysis problems (2013) (0)
- RAL-TR-97-054 A numerical comparison between theLANCELOT and MINOS packagesfor large-scale constrained optimizationI (1997) (0)
- Stabilizing Policy Improvement for Large-Scale Infinite-Horizon Dynamic Programming (2009) (0)
- THE DANTZIG STATISTICAL ESTIMATION WHEN p IS MUCH LARGER THAN n (2008) (0)
- Software for constrained optimization (1982) (0)
- A review of sparsity vs stability in LU updates (2012) (0)
- GMINRES or GLSQR (2012) (0)
- Experiments with iterative computation of search directions within interior methods for constrained optimization (2012) (0)
- A symmetric formulation of the linear system arising in interior methods for convex optimization with bounded condition number (2020) (0)
- fast reliable solution of nonlinear ME models. (2016) (0)
- Large-Scale Numerical Optimization Instructor : (2019) (0)
- Su326 P30-14 'large-scalelinear Programming Using the Cholesky Factorizat Ion . By (1998) (0)
- A Practical Factorization of a Schur Complement for PDE-Constrained Distributed Optimal Control (2014) (0)
- CME 338 Large-Scale Numerical Optimization Instructor : (2019) (0)
- Solving linear systems by orthogonal tridiagonalization (GMINRES and/or GLSQR) (2013) (0)
- PLSS: A Projected Linear Systems Solver (2022) (0)
- User's Guide for QPSOL (Version 3.2): A Fortran Package for Quadratic Programming. Revision. (1984) (0)
- solveME: fast and reliable solution of nonlinear ME models (2016) (0)
- A semi-conjugate gradient method for solving unsymmetric positive definite linear systems (2022) (0)
- Scalable Matrix Algorithms for Interactive Analytics of Very Large Informatics Graphs (2017) (0)
- EhhEEmhEmhoiE EEEEnsoonsh (0)
- Basis Updates 1 Solves with sequences of B and B T (2019) (0)
- SMO vs PDCO for SVM: Sequential Minimal Optimization vs Primal-Dual interior method for Convex Objectives for Support Vector Machines (2018) (0)
- New approaches to linear and nonlinear programming (1988) (0)
- Properties of semi-conjugate gradient methods for solving unsymmetric positive definite linear systems (2023) (0)
- A bisection algorithm for the mixed /spl mu/ upper bound and its supremum (2004) (0)
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