NEW RESULTS IN PERTURBATION ANALYSIS OF MATRIX ALGEBRAIC EQUATIONS

被引：0
|
作者：
Konstantinov, Mihail M. [1 ]
Petkov, Petko H. [2 ]
Christov, Nicolai D. [3 ]
机构：
[1] Univ Architecture Civil Engn & Geodesy, Dept Math, Sofia 1046, Bulgaria
[2] Tech Univ Sofia, Dept Syst & Control, Sofia 1000, Bulgaria
[3] Lille Univ Sci & Technol, F-59655 Villeneuve Dascq, France
来源：
APPLIED AND COMPUTATIONAL MATHEMATICS | 2010年 / 9卷 / 02期
关键词：
Perturbation Analysis; Matrix Equations; Accuracy Estimates; BOUNDS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the derivation of improved perturbation bounds for the matrix expression A(1)A(2)(-1)A(3) and their application to the sensitivity analysis and the solution of fractional affine matrix equations. An estimate of the overall error in the solution of matrix equations, in floating-point computing environment is presented.
引用
收藏
页码：153 / 161
页数：9
相关论文
共 50 条
  • [1] PERTURBATION ANALYSIS OF ALGEBRAIC RICCATI-EQUATIONS
    CODENOTTI, B
    FAVATI, P
    FLANDOLI, F
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1988, 2B (04): : 817 - 830
  • [2] PERTURBATION ANALYSIS OF MATRIX QUADRATIC EQUATIONS
    KONSTANTINOV, MM
    PETKOV, PH
    CHRISTOV, ND
    [J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1990, 11 (06): : 1159 - 1163
  • [3] PERTURBATION ANALYSIS FOR SOLUTIONS OF ALGEBRAIC RICCATI-EQUATIONS
    CHEN, CH
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1988, 6 (04) : 336 - 347
  • [4] Perturbation analysis and condition numbers of symmetric algebraic Riccati equations
    Zhou, Liangmin
    Lin, Yiqin
    Wei, Yimin
    Qiao, Sanzheng
    [J]. AUTOMATICA, 2009, 45 (04) : 1005 - 1011
  • [5] Application of perturbation theory to the solvability analysis of differential algebraic equations
    Boichuk, A. A.
    Pokutnyi, A. A.
    Chistyakov, V. F.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2013, 53 (06) : 777 - 788
  • [6] Application of perturbation theory to the solvability analysis of differential algebraic equations
    A. A. Boichuk
    A. A. Pokutnyi
    V. F. Chistyakov
    [J]. Computational Mathematics and Mathematical Physics, 2013, 53 : 777 - 788
  • [7] Perturbation of systems of linear algebraic equations
    Ding, J
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2000, 47 (02): : 119 - 127
  • [8] MULTIPARAMETER PERTURBATION SOLUTION OF ALGEBRAIC EQUATIONS
    AMES, WF
    SONTOWSK.JF
    [J]. JOURNAL OF APPLIED MECHANICS, 1966, 33 (01): : 218 - +
  • [9] Perturbation theory for algebraic Riccati equations
    Sun, JG
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 19 (01) : 39 - 65
  • [10] Consistent initialization and perturbation analysis for abstract differential-algebraic equations
    Reis, Timo
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2007, 19 (03) : 255 - 281
12345