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TitleStructure-preserving schur methods for computing square roots of real skew-hamiltonian matrices
Author(s)Liu Zhongyun
Zhang Yulin
Ferreira, Carla
Ralha, Rui
KeywordsMatrix square root
Skew-Hamiltonian Schur decomposition
Structure-preserving algorithm
Issue dateSep-2012
PublisherInternational Linear Algebra Society
JournalElectronic Journal of Linear Algebra
Abstract(s)The contribution in this paper is two-folded. First, a complete characterization is given of the square roots of a real nonsingular skew-Hamiltonian matrix W. Using the known fact that every real skew-Hamiltonian matrix has infinitely many real Hamiltonian square roots, such square roots are described. Second, a structure-exploiting method is proposed for computing square roots of W, skew-Hamiltonian and Hamiltonian square roots. Compared to the standard real Schur method, which ignores the structure, this method requires significantly less arithmetic.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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