Algorithms for Quadratic Matrix and Vector Equations

By Federico Poloni

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.

• Format: Paperback
• Language: English
• ISBN: 8876423834
• ISBN13: 9788876423833
• Release Date: November 2011
• Publisher: Edizioni Della Normale
• Length: 250 Pages
• Weight: 1.10 lbs.
• Dimensions: 1.1" x 5.9" x 9.5"