APPLIED NUMERICAL LINEAR ALGEBRA James W. Demmel University of California Berkeley, California Society for Industrial and Applied Mathematics Philadelphia Contents Preface ix 1 Introduction 1 1.1 Basic Notation 1 1.2 Standard Problems of Numerical L
迭代解稀疏线性方程组，有很多种方法。很全面 Iterative Methods for Sparse Linear Systems Preface to the Second Edition; Preface to the First Edition; Chapter 1: Background in Linear Algebra; Chapter 2: Discretization of Partial Differential Equations; Chapter 3: Sparse Ma
In this talk we will survey methods for the approximation of large-scale dynamical systems. There are two basic families, namely the SVD-based and Krylov-based approximation methods. The former family is based on the singular value decomposition and
Standard Krylov subspace solvers for self-adjoint problems have rigorous convergence bounds based solely on eigenvalues. However, for non-self-adjoint problems, eigenvalues do not determine behavior even for widely used iterative methods. In this pa
