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Iterative Methods for Sparse Linear Systems (Paperback, 2nd Revised edition)
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Iterative Methods for Sparse Linear Systems (Paperback, 2nd Revised edition)
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Since the first edition of this book was published in 1996,
tremendous progress has been made in the scientific and engineering
disciplines regarding the use of iterative methods for linear
systems. The size and complexity of the new generation of linear
and nonlinear systems arising in typical applications has grown.
Solving the three-dimensional models of these problems using direct
solvers is no longer effective. At the same time, parallel
computing has penetrated these application areas as it became less
expensive and standardized. Iterative methods are easier than
direct solvers to implement on parallel computers but require
approaches and solution algorithms that are different from
classical methods. The second edition of Iterative Methods for
Sparse Linear Systems gives an in-depth, up-to-date view of
practical algorithms for solving large-scale linear systems of
equations. These equations can number in the millions and are
sparse in the sense that each involves only a small number of
unknowns. The methods described are iterative, i.e., they provide
sequences of approximations that will converge to the solution.
This new edition includes a wide range of the best methods
available today. The author has added a new chapter on multigrid
techniques and has updated material throughout the text,
particularly the chapters on sparse matrices, Krylov subspace
methods, preconditioning techniques, and parallel preconditioners.
Material on older topics has been removed or shortened, numerous
exercises have been added, and many typographical errors have been
corrected. The updated and expanded bibliography now includes more
recent works emphasizing new and important research topics in this
field.
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