Algorithms for quadratic matrix and vector equations

This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unify...

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Bibliografiske detaljer
Hovedforfatter: Poloni, Federico
Format: Livre numérique
Sprog:Anglais
Udgivet: Pisa : Scuola Normale Superiore [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2011.
Serier:Theses (Scuola Normale Superiore) 16
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Kommentar: L'impression du document génère 239 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Algorithms for Quadratic Matrix and Vector Equations, Texte imprimé, 9788876423833
Beskrivelse
Summary:This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on "matrix multiplication-rich" iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints.
Emne beskrivelse:L'impression du document génère 239 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9788876423840 (en ligne)
ISSN:2532-1668
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