Constructive methods for factorization of matrix-functions

Sergei Rogosin; Gennady Mishuris

doi:10.1093/imamat/hxv038

Constructive methods for factorization of matrix-functions

Sergei Rogosin, Gennady Mishuris

Department of Mathematics

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Abstract

A survey of constructive methods for the factorization of n×nn×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

Original language	English
Pages (from-to)	365-391
Journal	IMA Journal of Applied Mathematics
Volume	81
Issue number	2
Early online date	17 Dec 2015
DOIs	https://doi.org/10.1093/imamat/hxv038
Publication status	Published - 01 Apr 2016

Keywords

matrix-functions
factorization
constructive methods

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10.1093/imamat/hxv038

Constructive methods for factorization of matrix-functionsAccepted author manuscript, 2.44 MB

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abstract = "A survey of constructive methods for the factorization of n×nn×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",

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N2 - A survey of constructive methods for the factorization of n×nn×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

AB - A survey of constructive methods for the factorization of n×nn×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

KW - matrix-functions

KW - factorization

KW - constructive methods

UR - http://hdl.handle.net/2160/42858

U2 - 10.1093/imamat/hxv038

DO - 10.1093/imamat/hxv038

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JF - IMA Journal of Applied Mathematics

IS - 2

ER -

Constructive methods for factorization of matrix-functions

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Keywords

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