000			03424nam a22006375i 4500
001			978-1-4614-5122-8
003			DE-He213
005			20200421111200.0
007			cr nn 008mamaa
008			130508s2013 xxu| s |||| 0|eng d
020			_a9781461451228 _9978-1-4614-5122-8
024	7		_a10.1007/978-1-4614-5122-8 _2doi
050		4	_aTA329-348
050		4	_aTA640-643
072		7	_aTBJ _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
100	1		_aWachspress, Eugene. _eauthor.
245	1	4	_aThe ADI Model Problem _h[electronic resource] / _cby Eugene Wachspress.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aX, 167 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aThe Peaceman-Rachford Model Problem -- The Two-Variable ADI Problem -- Model Problems and Preconditioning -- Complex Spectra -- Lyapunov and Sylvester Matrix Equations -- MATLAB Implementation.
520			_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.
650		0	_aEngineering.
650		0	_aMatrix theory.
650		0	_aAlgebra.
650		0	_aPartial differential equations.
650		0	_aNumerical analysis.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aThermodynamics.
650		0	_aHeat engineering.
650		0	_aHeat transfer.
650		0	_aMass transfer.
650		0	_aControl engineering.
650		0	_aRobotics.
650		0	_aMechatronics.
650	1	4	_aEngineering.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aNumerical Analysis.
650	2	4	_aControl, Robotics, Mechatronics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aEngineering Thermodynamics, Heat and Mass Transfer.
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461451211
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-5122-8
912			_aZDB-2-ENG
942			_cEBK
999			_c53796 _d53796