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

• Autores: Ana C. Conceição, Viktor Kravchenko
• Localización: Mathematische Nachrichten, ISSN 0025-584X, Vol. 280, Nº. 9-10, 2007, págs. 1022-1034
• Idioma: inglés
• DOI: 10.1002/mana.200510533
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• Resumen

  • 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.