NUMERICAL LINEAR ALGEBRA ASPECTS OF GLOBALLY CONVERGENT HOMOTOPY METHODS

被引:84
|
作者
WATSON, LT [1 ]
机构
[1] VIRGINIA POLYTECH INST & STATE UNIV, DEPT COMP SCI, BLACKSBURG, VA 24061 USA
关键词
D O I
10.1137/1028157
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:529 / 545
页数:17
相关论文
共 50 条
  • [1] GLOBALLY CONVERGENT HOMOTOPY METHODS - A TUTORIAL
    WATSON, LT
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 1989, 31 : 369 - 396
  • [2] An initial solution algorithm for globally convergent homotopy methods
    Inoue, Y
    Kusanobu, S
    Yamamura, K
    Ando, M
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2004, E87A (04) : 780 - 786
  • [3] An effective initial solution algorithm for globally convergent homotopy methods
    Inoue, Y
    Kusanobu, S
    Yamamura, K
    Ando, M
    [J]. PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III: GENERAL & NONLINEAR CIRCUITS AND SYSTEMS, 2003, : 196 - 199
  • [4] Theorems on the unique initial solution for globally convergent homotopy methods
    Inoue, Y
    Kusanobu, S
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2003, E86A (09) : 2184 - 2191
  • [5] A GLOBALLY CONVERGENT PROBABILITY-ONE HOMOTOPY FOR LINEAR PROGRAMS WITH LINEAR COMPLEMENTARITY CONSTRAINTS
    Watson, Layne T.
    Billups, Stephen C.
    Mitchell, John E.
    Easterling, David R.
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2013, 23 (02) : 1167 - 1188
  • [6] GLOBALLY CONVERGENT HOMOTOPY METHOD FOR DESIGNING PIECEWISE LINEAR DETERMINISTIC CONTRACTUAL FUNCTION
    Zhu, Zhichuan
    Yu, Bo
    Yang, Li
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2014, 10 (03) : 717 - 741
  • [7] Homotopy linear algebra
    Galvez-Carrillo, Imma
    Kock, Joachim
    Tonks, Andrew
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2018, 148 (02) : 293 - 325
  • [8] Globally Convergent Numerical Methods for Some Coefficient Inverse Problems
    Xin, Jianguo
    Beilina, Larisa
    Klibanov, Michael V.
    [J]. COMPUTING IN SCIENCE & ENGINEERING, 2010, 12 (05) : 64 - 76
  • [9] ITERATIVE METHODS IN NUMERICAL LINEAR ALGEBRA
    MANTEUFFEL, TA
    GOLUB, GH
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (03) : 765 - 766
  • [10] HOMPACK - A SUITE OF CODES FOR GLOBALLY CONVERGENT HOMOTOPY ALGORITHMS
    WATSON, LT
    BILLUPS, SC
    MORGAN, AP
    [J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1987, 13 (03): : 281 - 310