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
Abstract: A novel hybrid implicit–explicit (HIE) finite-difference time-domain (FDTD) method, which is extremely useful for problems with very fine structures along the w-direction in cylindrical coordinate system, is presented. This method has high
Tools for big matrix elaboration in OS Window 2000/NT/XP. This package contains programs adapt to invert large matrices with thousands elements and to solve linear system with many variables (up to 250 ). Operations performed are: inversion, multipl
The book is about twenty-five percent longer. There are new sections on fast transforms ( § 1 .4), parallel LU (§3.6), fast methods for circulant systems and discrete Poisson systems ( §4.8) , Hamiltonian and product eigenvalue problems (§7.8) , pse
Contents Preface to the Second Edition xi Preface to the First Edition xiv License Information xvi Computer Programs by Chapter and Section xix 1 Preliminaries 1 1.0 Introduction 1 1.1 Program Organization and Control Structures 5 1.2 Some C Convent
In this paper, we mainly consider finding an explicit formula for the inverse of a pentadiagonal Toeplitz matrix. For that purpose, we first factorize the modified form of a pentadiagonal Toeplitz matrix by two tridiagonal Toeplitz matrices, and then
This paper describes a hybrid two-level parallel method with MPI/OpenMP for computing the eigenvalues of dense symmetric matrices on cluster of SMP's environments. The eigenvalue computation is Based on both the Householder tridiagonalization method
Solving block-tridiagonal systems is one of the key issues in numerical simulations.of many scientific and engineering problems. Non-zero elements are mainly.concentrated in the blocks on the main diagonal for most block-tridiagonal matrices,.and the
