Fundamentals of Matrix Computations, 2e

By David S. Watkins. Written for advanced undergraduate students, graduate students, and professionals, this book provides a detailed explanation of matrix computations and the accompanying theory. Topics covered include the introduction of new methods for solving large, sparse eigenvalue problems, including the implicitly-restarted Arnoldi and Jacobi-Davidson methods; iterative methods; modern componentwise error analysis; reorthogonalization; and rank-one updates of the QR decomposition. Numerous example problems throughout the book are solved using MATLAB.