Constructive methods for factorization of matrix-functions

被引：44

作者：

Rogosin, Sergei ^{[1
,2
]}

Mishuris, Gennady ^{[1
]}

机构：

[1] Aberystwyth Univ, Penglais, Aberystwyth SY23 2BZ, Dyfed, Wales

[2] Belarusian State Univ, Nezavisimosti Ave 4, Minsk 220030, BELARUS

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2016年 / 81卷 / 02期

关键词：

matrix-functions; factorization; constructive methods; WIENER-HOPF FACTORIZATION; PARTIAL INDEXES; GENERALIZED FACTORIZATION; CANONICAL FACTORIZATION; SPECTRAL FACTORIZATION; EXPLICIT FACTORIZATION; APPROXIMATE FACTORIZATION; PREDICTION THEORY; EQUATIONS; RIEMANN;

D O I：

10.1093/imamat/hxv038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A survey of constructive methods for the factorization of n x n matrix-functions is presented. The importance of these methods for theoretical and practical applications is singled out. Several classes of matrices are considered which are factorized by the proper technique. The perspective of the constructive methods and procedures is discussed and open questions are formulated.

引用

页码：365 / 391

页数：27

共 50 条

[21] Factorization of matrix functions with subgroup supported Fourier coefficients
Rodman, Leiba
Spitkovsky, Ilya M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) : 604 - 613
[22] Almost Periodic Factorization of Some Triangular Matrix Functions
Camara, M. C.
Karlovich, Yu. I.
Spitkovsky, I. M.
MODERN ANALYSIS AND APPLICATIONS: MARK KREIN CENTENARY CONFERENCE, VOL 1: OPERATOR THEORY AND RELATED TOPICS, 2009, 190 : 171 - +
[23] Meromorphic Factorization Revisited and Application to Some Groups of Matrix Functions
Cristina Camara, M.
Teresa Malheiro, M.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2008, 2 (02) : 299 - 326
[24] Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions
Karlovich, Yuri I.
Spitkovsky, Ilya M.
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 337 - +
[25] Factorization of matrix functions and their inverses via power product expansions
Gingold, H.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (11-12) : 2835 - 2858
[26] Factorization of some classes of matrix functions and the resolvent of a Hankel operator
Conceiçao, AC
Kravchenko, VG
Teixeira, FS
FACTORIZATION, SINGULAR OPERATORS AND RELATED PROBLEMS, PROCEEDINGS, 2003, : 101 - 110
[27] Almost periodic factorization of block triangular matrix functions revisited
Karlovich, YI
Spitkovsky, IM
Walker, RA
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 293 (1-3) : 199 - 232
[28] Wiener-Hopf Factorization of a Class of Matrix Functions and Corona Theorem
GUO Guoan
WuhanUniversityJournalofNaturalSciences, 2009, 14 (01) : 1 - 5
[29] Some Cases of Efficient Factorization of Second-Order Matrix Functions
Kiyasov, S. N.
RUSSIAN MATHEMATICS, 2012, 56 (06) : 30 - 36
[30] Factorization of block triangular matrix functions with off-diagonal binomials
van der Mee, CVM
Rodman, L
Spitkovsky, IM
RECENT ADVANCES IN OPERATOR THEORY AND ITS APPLICATIONS: THE ISRAEL GOHBERG ANNIVERSARY VOLUME, 2005, 160 : 425 - 439

← 1 2 3 4 5 →