TY - BOOK ID - 14302877 TI - Algorithms for quadratic matrix and vector equations PY - 2011 SN - 8876423834 8876423842 PB - Pisa : Edizioni della Normale, DB - UniCat KW - Algorithms. KW - Mathematics. KW - Matrices. KW - Vector algebra. KW - Mathematics KW - Physical Sciences & Mathematics KW - Algebra KW - Equations, Quadratic. KW - Algebra, Vector KW - Algorism KW - Quadratic equations KW - Algebra. KW - Algebras, Linear KW - Vector analysis KW - Arithmetic KW - Foundations KW - Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:14302877 AB - 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. ER -