Algorithms for Quadratic Matrix and Vector Equations (Publications of the Scuola Normale Superiore, 16) - Softcover

Poloni, Federico

Softcover

ISBN 10: 8876423834 ISBN 13: 9788876423833

Publisher: Edizioni della Normale, 2011

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Edizioni della Normale
• Publication date: 2011
• Language: English
• ISBN 10: 8876423834
• ISBN 13: 9788876423833
• Binding: Paperback
• Number of pages: 250