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

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