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The ADI model problem / / Eugene Wachspress



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Autore: Wachspress Eugene Visualizza persona
Titolo: The ADI model problem / / Eugene Wachspress Visualizza cluster
Pubblicazione: New York, : Springer, c2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (141 p.)
Disciplina: 518.26
Soggetto topico: Iterative methods (Mathematics)
Lyapunov functions
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: The Peaceman-Rachford Model Problem -- The Two-Variable ADI Problem -- Model Problems and Preconditioning -- Complex Spectra -- Lyapunov and Sylvester Matrix Equations -- MATLAB Implementation.
Sommario/riassunto: 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.
Titolo autorizzato: The ADI model problem  Visualizza cluster
ISBN: 1-4614-5122-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910437762003321
Lo trovi qui: Univ. Federico II
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