Algorithms for Quadratic Matrix and Vector Equations [recurso electrónico] / by Federico Poloni.

Por: Poloni, Federico [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoSeries Tesi/Theses ; 16Editor: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2011Descripción: 250p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9788876423840Tema(s): Mathematics | Algebra | Mathematics | AlgebraFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 512 Clasificación LoC:QA150-272Recursos en línea: Libro electrónicoTexto En: Springer eBooksResumen: 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.
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Colección de Libros Electrónicos QA150 -272 (Browse shelf(Abre debajo)) 1 No para préstamo 377430-2001

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.

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