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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Poloni, Federico (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2011.
Edición:1st ed. 2011.
Colección:Theses (Scuola Normale Superiore), 16
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:250 p. online resource.
ISBN:9788876423840
ISSN:2532-1668 ;