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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Bibliographic Details
Main Author: Poloni, Federico (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2011.
Series:Tesi/Theses ; 16.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
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.
Item Description:Electronic resource.
Physical Description:1 online resource (250 pages)
ISBN:9788876423840
DOI:10.1007/978-88-7642-384-0