About explicit factorization of some classes of non‐rational matrix functions | Zendy

Conceição Ana C. | Zendy; Kravchenko Viktor G. | Zendy

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About explicit factorization of some classes of non‐rational matrix functions

Author(s) -

Conceição Ana C.,

Kravchenko Viktor G.

Publication year - 2007

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510533

Subject(s) - factorization , mathematics , rational function , dixon's factorization method , homogeneous , matrix (chemical analysis) , incomplete lu factorization , construct (python library) , matrix decomposition , matrix function , pure mathematics , algebra over a field , factorization of polynomials , function (biology) , combinatorics , mathematical analysis , algorithm , symmetric matrix , computer science , matrix polynomial , polynomial , materials science , composite material , biology , quantum mechanics , evolutionary biology , programming language , eigenvalues and eigenvectors , physics

We construct an algorithm that allows us to determine an effective canonical factorization of some non‐rational matrix‐valued functions. For those matrix‐valued functions whose entries can be represented through a innerouter factorization (when the outer function is rational) it is shown that its explicit factorization can be obtained through the solutions of two non‐homogeneous equations. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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