A guide to numerical methods for solving large sparse linear systems of equations, in particular those arising from the discretization of partial differential equations. This text covers both direct and iterative methods, including Gaussian elimination and alternating directions algorithms.
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2000 ...will certainly become the standard book for linear system solvers. -- U. Langer, Zentralblatt fur Mathematik
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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minmax polynomial, written blockwise, dimensional periodic problem, matrices reordered, cyclic reduction method, twisted factorization, outer product algorithm, classical iterative methods, subdomains case, subcube mapping, polynomial preconditioners, multicolor orderings, sparse inverse, local orthogonality, roundoff error analysis, regular splitting, dissection algorithms, multifrontal method, several right hand sides, minimum degree algorithm, whose diagonal blocks, general linear systems, elimination tree, block tridiagonal matrices, incomplete decomposition Key Phrases - Capitalized Phrases (CAPs): (learn more)
Introductory Material, Approximate Schur, Fast Fourier Transform, Preconditioning Let, Approximations of Schur, Red-black Gauss-Seidel, World War Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
minmax polynomial, written blockwise, dimensional periodic problem, matrices reordered, cyclic reduction method, twisted factorization, outer product algorithm, classical iterative methods, subdomains case, subcube mapping, polynomial preconditioners, multicolor orderings, sparse inverse, local orthogonality, roundoff error analysis, regular splitting, dissection algorithms, multifrontal method, several right hand sides, minimum degree algorithm, whose diagonal blocks, general linear systems, elimination tree, block tridiagonal matrices, incomplete decomposition Key Phrases - Capitalized Phrases (CAPs): (learn more)
Introductory Material, Approximate Schur, Fast Fourier Transform, Preconditioning Let, Approximations of Schur, Red-black Gauss-Seidel, World War Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
14
books
cite this book:
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- Krylov Solvers for Linear Algebraic Systems, Volume 11 (Studies in Computational Mathematics) by Charles George Broyden in Back Matter
- Iterative Krylov Methods for Large Linear Systems (Cambridge Monographs on Applied and Computational Mathematics) by Henk A. van der Vorst in Back Matter
- The Schur Complement and Its Applications (Numerical Methods and Algorithms) by Fuzhen Zhang in Back Matter
- Industrial Mathematics by M. C. Joshi on page 487
- Linear Algebra - Linear Systems and Eigenvalues, Volume 3 by P.M. van Dooren on page 30
See all 14 books citing this book
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