The ADI Model Problem

Nonfiction, Science & Nature, Mathematics, Number Systems, Applied, Technology
Cover of the book The ADI Model Problem by Eugene Wachspress, Springer New York
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Author: Eugene Wachspress ISBN: 9781461451228
Publisher: Springer New York Publication: July 8, 2014
Imprint: Springer Language: English
Author: Eugene Wachspress
ISBN: 9781461451228
Publisher: Springer New York
Publication: July 8, 2014
Imprint: Springer
Language: English

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.

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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.

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