A METHOD OF EXPLICIT FACTORIZATION OF MATRIX FUNCTIONS AND APPLICATIONS

被引：13
|
作者：
FELDMAN, I
GOHBERG, I
KRUPNIK, N
机构：
[1] BAR ILAN UNIV,DEPT MATH & COMP SCI,IL-52900 RAMAT GAN,ISRAEL
[2] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1994年 / 18卷 / 03期
关键词：
MSC:; 47A79;
D O I：
10.1007/BF01206294
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A method of explicit factorization of matrix functions of second order is proposed. The method consists of reduction of this problem to two scalar barrier problems and a finite system of linear equations. Applications to various classes of singular integral equations and equations with Toeplitz and Hankel matrices are given.
引用
收藏
页码：277 / 302
页数：26
相关论文
共 50 条
  • [41] STABLE INVARIANT LAGRANGIAN SUBSPACES - FACTORIZATION OF SYMMETRICAL RATIONAL MATRIX FUNCTIONS AND OTHER APPLICATIONS
    RAN, ACM
    RODMAN, L
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 137 : 575 - 620
  • [42] STABLE METHOD OF MATRIX FACTORIZATION
    LUCEY, JW
    HANSEN, KF
    TRANSACTIONS OF THE AMERICAN NUCLEAR SOCIETY, 1964, 7 (02): : 259 - &
  • [43] THE WZ MATRIX FACTORIZATION METHOD
    YALAMOV, P
    EVANS, DJ
    PARALLEL COMPUTING, 1995, 21 (07) : 1111 - 1120
  • [44] On Explicit Formulas of Hyperbolic Matrix Functions
    Laarichi, Y.
    Elkettani, Y.
    Gretete, D.
    Barmaki, M.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2023, 17 (02): : 201 - 210
  • [45] Implicit vs. Explicit Trust in Social Matrix Factorization
    Fazeli, Soude
    Loni, Babak
    Bellogin, Alejandro
    Drachsler, Hendrik
    Sloep, Peter
    PROCEEDINGS OF THE 8TH ACM CONFERENCE ON RECOMMENDER SYSTEMS (RECSYS'14), 2014, : 317 - 320
  • [46] Recommendation algorithm based on Explicit and Implicit feedback Matrix factorization
    Xiao Xiaoli
    Yan Rongjun
    Tan Dong
    2019 4TH INTERNATIONAL CONFERENCE ON MECHANICAL, CONTROL AND COMPUTER ENGINEERING (ICMCCE 2019), 2019, : 903 - 909
  • [47] High Dimensional Explicit Feature Biased Matrix Factorization Recommendation
    Sun, Weibin
    Zhang, Xianchao
    Liang, Wenxin
    He, Zengyou
    TRENDS AND APPLICATIONS IN KNOWLEDGE DISCOVERY AND DATA MINING, PAKDD 2015, 2015, 9441 : 66 - 77
  • [48] Differentiating isoform functions with collaborative matrix factorization
    Wang, Keyao
    Wang, Jun
    Domeniconi, Carlotta
    Zhang, Xiangliang
    Yu, Guoxian
    BIOINFORMATICS, 2020, 36 (06) : 1864 - 1871
  • [49] MATRIX FACTORIZATION OF MORSE-BOTT FUNCTIONS
    Teleman, Constantin
    DUKE MATHEMATICAL JOURNAL, 2020, 169 (03) : 533 - 549
  • [50] FACTORIZATION OF ALL-PASS MATRIX FUNCTIONS
    GREEN, M
    ANDERSON, BDO
    INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (01) : 215 - 235
12345