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Sparse matrices --- Matrices éparses --- Data processing --- Informatique --- -519.6 --- 681.3*G13 --- Spare matrix techniques --- Matrices --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Data processing. --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Matrices éparses --- 519.6 --- Sparse matrices - Data processing

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Mathematical control systems --- Numerical analysis --- Planning (firm) --- System analysis --- Equations, Simultaneous --- Sparse matrices --- Data processing. --- -Sparse matrices --- -System analysis --- -519.6 --- 681.3*G13 --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Spare matrix techniques --- Matrices --- Simultaneous equations --- Data processing --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Analyse de systèmes --- Matrices éparses --- Informatique --- Matrices éparses --- 519.6 --- Matrices éparses.

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Preconditioning 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.

Matrices --- Differential equations --- Iterative methods (Mathematics) --- Integral equations --- Sparse matrices --- Equations différentielles --- Itération (Mathématiques) --- Equations intégrales --- Matrices éparses --- Numerical solutions --- Data processing --- Solutions numériques --- Informatique --- data processing --- Spare matrix techniques --- Equations, Integral --- Functional equations --- Functional analysis --- Iteration (Mathematics) --- Numerical analysis --- Data processing. --- 517.91 Differential equations --- Equations différentielles --- Itération (Mathématiques) --- Equations intégrales --- Matrices éparses --- Solutions numériques --- 517.91 --- Numerical solutions&delete& --- Sparse matrices - data processing --- Differential equations - Numerical solutions - Data processing --- Iterative methods (Mathematics) - Data processing --- Integral equations - Numerical solutions - Data processing

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Differential equations, Partial --- Iterative methods (Mathematics) --- Sparse matrices --- Equations aux dérivées partielles --- Itération (Mathématiques) --- Matrices éparses --- Numerical solutions --- Solutions numériques --- Sparse matrices. --- Numerical solutions. --- -Iterative methods (Mathematics) --- 519.61 --- 681.3*G13 --- Spare matrix techniques --- Matrices --- Iteration (Mathematics) --- Numerical analysis --- Partial differential equations --- Numerical methods of algebra --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.61 Numerical methods of algebra --- Equations aux dérivées partielles --- Itération (Mathématiques) --- Matrices éparses --- Solutions numériques --- Iterative methods (Mathematics). --- Differential equations, Partial - Numerical solutions. --- Differential equations, Partial-Numerical solution

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519.6 --- 681.3*G13 --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning determinants Eigenvalues error analysis linear systems matrix inversion pseudoinverses sparse and very largesystems --- Sparse matrices. --- Iterative methods (Mathematics) --- Differential equations, Partial --- Numerical solutions. --- Iterative methods (Mathematics). --- 681.3*G13 Numerical linear algebra: conditioning determinants Eigenvalues error analysis linear systems matrix inversion pseudoinverses sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Numerical solutions of algebraic equations --- Sparse matrices --- Equations aux dérivées partielles --- Itération (Mathématiques) --- Matrices éparses --- Numerical solutions --- Solutions numériques