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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: The ADI Model Problem
Authors: Eugene Wachspress
DOI: https://doi.org/10.1007/978-1-4614-5122-8
Publisher: Springer New York, NY
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-5121-1
Softcover ISBN: 978-1-4939-0019-0
eBook ISBN: 978-1-4614-5122-8
Edition Number: 1
Number of Pages: X, 167
Topics: Mathematical and Computational Engineering, Numerical Analysis, Control, Robotics, Mechatronics, Partial Differential Equations, Engineering Thermodynamics, Heat and Mass Transfer, Linear and Multilinear Algebras, Matrix Theory