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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)