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The ADI model problem

Author: Eugene L Wachspress
Publisher: New York ; London : Springer, 2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Wachspress, Eugene L.
ADI model problem.
New York ; London : Springer, 2013
(OCoLC)812073018
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Eugene L Wachspress
ISBN: 9781461451228 1461451221
OCLC Number: 843180410
Description: 1 online resource.
Contents: The Peaceman-Rachford Model Problem --
The Two-Variable ADI Problem --
Model Problems and Preconditioning --
Complex Spectra --
Lyapunov and Sylvester Matrix Equations --
MATLAB Implementation.
Responsibility: by Eugene Wachspress.
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Abstract:

This book presents the foundations of Alternating Direction Implicit iteration for systems with both real and complex spectra and extends work for real spectra into the complex plane with methods for  Read more...

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schema:description"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. This book also: Provides complete ADI theory for both real and complex spectra with one or two variables Includes application to Lyapunov and Sylvester equations of full or low rank Offers new similarity reduction of matrices from full to banded form Presents new application to low-rank control theory problems across a range of engineering disciplines Features MATLAB programs for implementation The ADI Model Problem is an ideal book for engineers in multiple disciplines interested in better understanding new ADI applications."
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