On canonical factorization of rational matrix functions

被引：3
|
作者：
Gohberg, I [1 ]
Zucker, Y [1 ]
机构：
[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 RAMAT AVIV,ISRAEL
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1996年 / 25卷 / 01期
关键词：
D O I：
10.1007/BF01192043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper concerns the problem of canonical factorization of a rational matrix function W(lambda) which is analytic but may be not invertible at infinity. The factors are obtained explicitly in terms of the realization of the original matrix function. The cases of symmetric factorization for selfadjoint and positive rational matrix functions are considered separately.
引用
收藏
页码：73 / 93
页数：21
相关论文
共 50 条
  • [41] Minimal nonsquare J-spectral factorization, generalized bezoutians and common zeros for rational matrix functions
    Petersen, MA
    Ran, ACM
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2003, 47 (02) : 197 - 216
  • [42] Hierarchical alternating nonlinear least squares for non-negative matrix factorization using rational functions
    Hautecoeur, Cecile
    Glineur, Francois
    De Lathauwer, Lieven
    [J]. 29TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2021), 2021, : 1045 - 1049
  • [43] Minimal Nonsquare J-Spectral Factorization, Generalized Bezoutians and Common Zeros for Rational Matrix Functions
    Mark A. Petersen
    André C.M. Ran
    [J]. Integral Equations and Operator Theory, 2003, 47 : 197 - 216
  • [44] Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization
    Groenewald, G. J.
    Kaashoek, M. A.
    Ran, A. C. M.
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2023, 34 (02): : 338 - 356
  • [45] Factorization in rings of integer-valued rational functions
    Liu, Baian
    [J]. COMMUNICATIONS IN ALGEBRA, 2024,
  • [46] Realization of tensor product and of tensor factorization of rational functions
    Alpay, Daniel
    Lewkowicz, Izchak
    [J]. QUANTUM STUDIES-MATHEMATICS AND FOUNDATIONS, 2019, 6 (03) : 269 - 278
  • [47] Realization of tensor product and of tensor factorization of rational functions
    Daniel Alpay
    Izchak Lewkowicz
    [J]. Quantum Studies: Mathematics and Foundations, 2019, 6 : 269 - 278
  • [48] ON JACOB'S CONSTRUCTION OF THE RATIONAL CANONICAL FORM OF A MATRIX
    Geck, Meinolf
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2020, 36 : 177 - 182
  • [49] Binary mixture properties: fitting with canonical rational functions
    Dimitrov, SD
    Kamenski, DI
    [J]. COMPUTERS & CHEMICAL ENGINEERING, 1999, 23 (08) : 1011 - 1019
  • [50] Differentiating isoform functions with collaborative matrix factorization
    Wang, Keyao
    Wang, Jun
    Domeniconi, Carlotta
    Zhang, Xiangliang
    Yu, Guoxian
    [J]. BIOINFORMATICS, 2020, 36 (06) : 1864 - 1871
12345