Algorithms for Quadratic Matrix and Vector Equations [electronic resource] / by Federico Poloni.
By: Poloni, Federico [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Tesi/Theses: 16Publisher: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2011Description: 250p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9788876423840.Subject(s): Mathematics | Algebra | Mathematics | AlgebraDDC classification: 512 Online resources: Click here to access online
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Springer eBooksSummary: 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.
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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