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Mathematics

D-Index
47
Citations
17914
World Ranking
1232
National Ranking
546

Research.com Recognitions

  • 1918 - Fellow of the Royal Society of Canada

Overview

Walter Murray is affiliated with Stanford University in the United States. Their research spans several areas within computer science, mathematics, and engineering.

The scientist's primary fields of study include:

  • Computer Science
  • Mathematics
  • Engineering

Within these broad fields, Murray has contributed to several subfields such as:

  • Computational Theory and Mathematics
  • Numerical Analysis
  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

Their main research topics focus on advanced optimization and algorithmic development. Specific areas include:

  • Advanced Optimization Algorithms Research
  • Matrix Theory and Algorithms
  • Numerical Methods and Algorithms
  • Advanced Graph Theory Research
  • Graph Theory and Algorithms
  • Optimization and Packing Problems

Murray has published work in the venue Computational Optimization and Applications. A recent paper authored by Michael Haythorpe with Murray as coauthor is titled "Finding a Hamiltonian cycle by finding the global minimizer of a linearly constrained problem", published in 2021.

Co-authors frequently collaborating with Murray include:

  • Philip E. Gill (8 publications)
  • Margaret H. Wright (8 publications)
  • Michael Haythorpe (1 publication)

In addition to journal publications, Walter Murray has contributed to book literature. One notable publication is Numerical Linear Algebra and Optimization, released in 2021 by the Society for Industrial and Applied Mathematics. This work has accumulated a significant number of citations.

Walter Murray was recognized with the award Fellow of the Royal Society of Canada in 1918.

Best Publications

  • SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

    Philip E. Gill;Walter Murray;Michael A. Saunders

  • SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

    Philip E. Gill;Walter Murray;Michael A. Saunders

  • Numerical Linear Algebra and Optimization

    Philip E. Gill;Walter Murray;Margaret H. Wright

  • Methods for modifying matrix factorizations.

    Phillip E. Gill;Gene H. Golub;Walter A. Murray;Michael A. Saunders

  • Algorithms for the Solution of the Nonlinear Least-Squares Problem

    Philip E. Gill;Walter Murray

  • On projected Newton barrier methods for linear programming and an equivalence to Karmarkar's projective method

    Philip E. Gill;Walter Murray;Michael A. Saunders;J. A. Tomlin

  • User's Guide for NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming.

    Philip E Gill;Walter Murray;Michael A Saunders;Margaret H Wright

  • Newton-type methods for unconstrained and linearly constrained optimization

    Philip E. Gill;Walter Murray

  • Quasi-Newton Methods for Unconstrained Optimization

    P. E. Gill;W. Murray

  • Aquifer Reclamation Design: The Use of Contaminant Transport Simulation Combined With Nonlinear Programing

    Steven M. Gorelick;Clifford I. Voss;Philip E. Gill;Walter Murray

  • Procedures for optimization problems with a mixture of bounds and general linear constraints

    Philip E. Gill;Walter Murray;Michael A. Saunders;Margaret H. Wright

  • USER’S GUIDE FOR SNOPT 5.3: A FORTRAN PACKAGE FOR LARGE-SCALE NONLINEAR PROGRAMMING

    Philip E. Gill;Walter Murray;Michael A. Saunders

  • Numerically stable methods for quadratic programming

    Philip E. Gill;Walter Murray

  • Preconditioners for indefinite systems arising in optimization

    Philip E. Gill;Walter Murray;Dulce B. Ponceleón;Michael A. Saunders

  • Fortran package for nonlinear programming. User's Guide for NPSOL (Version 4. 0)

    P.E. Gill;W. Murray;Saunders;M.H. Wright

  • A practical anti-cycling procedure for linearly constrained optimization

    P. E. Gill;W. Murray;M. A. Saunders;M. H. Wright

  • An algorithm for nonlinear optimization problems with binary variables

    Walter Murray;Kien-Ming Ng

  • Maintaining LU factors of a general sparse matrix

    Philip E. Gill;Walter Murray;Michael A. Saunders;Matgaret H. Wright

  • Inertia-controlling methods for general quadratic programming

    P. E. Gill;W. Murray;M. A. Saunders;M. H. Wright

  • User's Guide for SNOPT Version 7.5: Software for Large-Scale Nonlinear Programming

    Philip E. Gill;Elizabeth Wong;Walter Murray;Michael A. Saunders

  • Methods for modifying matrix factorizations.

    Gene H. Golub;Philip E. Gill;Walter Murray;Michael A. Saunders

Frequent Co-Authors

Philip E. Gill
Philip E. Gill University of California, San Diego
Michael A. Saunders
Michael A. Saunders Stanford University
Margaret H. Wright
Margaret H. Wright New York University
Nicholas I. M. Gould
Nicholas I. M. Gould University of Oxford
Gene H. Golub
Gene H. Golub Stanford University
I. Michael Ross
I. Michael Ross Naval Postgraduate School
Clifford I. Voss
Clifford I. Voss United States Geological Survey
Steven M. Gorelick
Steven M. Gorelick Stanford University
G. W. Stewart
G. W. Stewart University of Maryland, College Park

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