Solvers for nonlinear algebraic equations; Where are we today?

被引：0
|
作者：
Paprzycki, M [1 ]
Dent, D
Kucaba-Pietal, A
机构：
[1] Oklahoma State Univ, Dept Comp Sci, Tulsa, OK 74106 USA
[2] Univ So Mississippi, Sci Comp Program, Hattiesburg, MS 39406 USA
来源：
PARALLEL PROCESSING APPLIED MATHEMATICS | 2002年 / 2328卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The aim of this paper is to summarize the state-of-the-art in solving systems of nonlinear algebraic equations. We are interested in two aspects of the problem. First, the existing solvers and their robustness. Second, the existing test-problem libraries and their adequacy. We explore both issues from the engineering-oriented perspective (e.g. by approaching the solvers as "black-box" software). Experimental data illustrating our main points is presented and discussed.
引用
收藏
页码：719 / 728
页数：10
相关论文
共 50 条
  • [1] Solvers for systems of nonlinear algebraic equations - Their sensitivity to starting vectors
    Dent, D
    Paprzycki, M
    Kucaba-Pietal, A
    [J]. NUMERICAL ANALYSIS AND ITS APPLICATIONS, 2001, 1988 : 230 - 237
  • [2] Analysis of nonlinear electric networks by means of differential algebraic equations solvers
    Michael Schuster
    Rolf Unbehauen
    [J]. Electrical Engineering, 2006, 88 : 229 - 239
  • [3] Analysis of nonlinear electric networks by means of differential algebraic equations solvers
    Schuster, M
    Unbehauen, R
    [J]. ELECTRICAL ENGINEERING, 2006, 88 (03) : 229 - 239
  • [4] Where We Are Today
    Leary, Steven
    [J]. ILAR JOURNAL, 2011, 52 : 430 - 431
  • [5] Composing Scalable Nonlinear Algebraic Solvers
    Brune, Peter R.
    Knepley, Matthew G.
    Smith, Barry F.
    Tu, Xuemin
    [J]. SIAM REVIEW, 2015, 57 (04) : 535 - 565
  • [6] Hypercholesterolemia - Where are we today? Where are we going?
    Gitt, A. K.
    Zahn, R.
    [J]. HERZ, 2016, 41 (05) : 413 - 420
  • [7] Numerical Solvers for Generalized Algebraic Riccati Equations
    Ivanov, I. G.
    Rusinova, R. I.
    [J]. APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2009, 1186 : 343 - 351
  • [8] Iterative solvers for BEM algebraic systems of equations
    Valente, FP
    Pina, HLG
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1998, 22 (02) : 117 - 124
  • [9] On the solution of nonlinear algebraic equations following periodic forced response analysis of nonlinear structures using different nonlinear solvers
    Kizilay, H. Sefa
    Cigeroglu, Ender
    [J]. Conference Proceedings of the Society for Experimental Mechanics Series, 2021, : 121 - 127
  • [10] Drilling today: Where are we?
    Thorogood, JL
    [J]. JOURNAL OF PETROLEUM TECHNOLOGY, 1997, 49 (02): : 149 - 149
12345