Poloni, Federico.

Algorithms for Quadratic Matrix and Vector Equations / by Federico Poloni. - 250 páginas recurso en línea. - Tesi/Theses ; 16 .

Springer eBooks

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.

9788876423840

10.1007/9788876423840 doi

QA150-272