000			03328nam a22003978i 4500
001			CR9780511543258
003			UkCbUP
005			20200124160235.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090505s2005||||enk o ||1 0|eng|d
020			_a9780511543258 (ebook)
020			_z9780521838283 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA188 _b.C455 2005
082	0	4	_a512.9434 _222
100	1		_aChen, Ke, _d1962- _eauthor.
245	1	0	_aMatrix preconditioning techniques and applications / _cKe Chen.
246	3		_aMatrix Preconditioning Techniques & Applications
264		1	_aCambridge : _bCambridge University Press, _c2005.
300			_a1 online resource (xxiii, 568 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge monographs on applied and computational mathematics ; _v19
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_g1. _tIntroduction -- _g2. _tDirect methods -- _g3. _tIterative methods -- _g4. _tMatrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] -- _g5. _tApproximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] -- _g6. _tMultilevel methods and preconditioners [T3] : coarse grid approximation -- _g7. _tMultilevel recursive Schur complements preconditioners [T4] -- _g8. _tSparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] -- _g9. _tWavelet Schur preconditioners [T6] -- _g10. _tImplicit wavelet preconditioners [T7} -- _g11. _tApplication I : acoustic scattering modelling -- _g12. _tApplication II : coupled matrix problems.
520			_aPreconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike.
650		0	_aDifferential equations _xNumerical solutions _xData processing.
650		0	_aIterative methods (Mathematics) _xData processing.
650		0	_aIntegral equations _xNumerical solutions _xData processing.
650		0	_aSparse matrices _xData processing.
776	0	8	_iPrint version: _z9780521838283
830		0	_aCambridge monographs on applied and computational mathematics ; _v19.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511543258
999			_c517975 _d517973