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010   $a1-4614-5122-1
024 7 $a10.1007/978-1-4614-5122-8
035   $a(CKB)2670000000359432
035   $a(EBL)1106370
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035   $a(PQKBTitleCode)TC0000904357
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035   $a(DE-He213)978-1-4614-5122-8
035   $a(MiAaPQ)EBC1106370
035   $a(PPN)170487458
035   $a(EXLCZ)992670000000359432
100   $a20130522d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe ADI model problem /$fEugene Wachspress
205   $a1st ed. 2013.
210   $aNew York $cSpringer$dc2013
215   $a1 online resource (141 p.)
300   $aDescription based upon print version of record.
311   $a1-4939-0019-6 
311   $a1-4614-5121-3 
320   $aIncludes bibliographical references and index.
327   $aThe Peaceman-Rachford Model Problem -- The Two-Variable ADI Problem -- Model Problems and Preconditioning -- Complex Spectra -- Lyapunov and Sylvester Matrix Equations -- MATLAB Implementation.
330   $aThe 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.
606   $aIterative methods (Mathematics)
606   $aLyapunov functions
615  0$aIterative methods (Mathematics)
615  0$aLyapunov functions.
676   $a518.26
700   $aWachspress$b Eugene$0763025
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910437762003321
996   $aThe ADI model problem$94184762
997   $aUNINA