Regularizing algorithm for mixed matrix pencils

• Autores: Tetiana Klymchuk
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 2, Nº. 1, 2017, págs. 123-130
• Idioma: español
• DOI: 10.21042/amns.2017.1.00010
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• Resumen

  • P. Van Dooren 1979 constructed an algorithm for computing all singular summands of Kronecker's canonical form of a matrix pencil. His algorithm uses only unitary transformations, which improves its numerical stability. We extend Van Dooren's algorithm to square complex matrices up to consimilarity transformations A↦SA¯S−1 and to pairs of m×n complex matrices up to transformations (A,B)↦(SAR,SB¯R), in which S and R are nonsingular matrices.