The ADI Model Problem

The ADI Model Problem by Eugene Wachspress.

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 vari...

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Bibliographic Details
Main Author: Wachspress, Eugene (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer eBook Collection.
Subjects:
Applied mathematics.
Engineering mathematics.
Numerical analysis.
Control engineering.
Robotics.
Mechatronics.
Partial differential equations.
Thermodynamics.
Heat engineering.
Heat transfer.
Mass transfer.
Matrix theory.
Algebra.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Description
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 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.
Physical Description:X, 167 p. online resource.
ISBN:9781461451228
DOI:10.1007/978-1-4614-5122-8

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