Regularizing algorithm for mixed matrix pencils

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Title:	Regularizing algorithm for mixed matrix pencils
Author:	Klymchuk, Tetiana
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
Abstract:	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 with respect to consimilarity transformations and to pairs of m-by-n complex matrices with respect to transformations $(A,B) \rightarrow (SAR; SB\bar{R})$, in which $S$ and $R$ are nonsingular matrices.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra -Algebra -Algorithms -Matrices -Regularizing algorithm -Matrix pencils -Consimilarity -Unitary transformations -Canonical forms -Algorismes -Matrius (Matemàtica) -Àlgebra
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
Published by:	UP4, Institute of Sciences, S.L.
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