Algorithms for Quadratic Matrix and Vector Equations [electronic resource] /by Federico Poloni.
by Poloni, Federico [author.]; SpringerLink (Online service).
Material type:
BookSeries: Tesi/Theses: 16Publisher: Pisa : Scuola Normale Superiore : 2011.Description: 250p. online resource.ISBN: 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.
| Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA150-272 (Browse shelf) | Available |
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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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