The ADI Model Problem

Wachspress, Eugene

The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems. This book provides application of theory to the solution of boundary value problems and description of stable similarity reduction of a full matrix to low-band upper Hessenberg form, with application to computation of eigenvalues and solution of Lyapunov and Sylvester equations. Also included are MATLAB programs and numerical verification of theory and applications.

Details

Published by: Springer

Publication Date: 2013-05-08

Format: Hardcover

ISBN-13: 9781461451211

DOI: 10.1007/978-1-4614-5122-8

Dimensions: 235cm x155cm

Pages: 167