Iterative Incomplete Factorization Methods
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$M$-Matrices
A01=Valery P Il'in
Author_Valery P Il'in
Buleev Method
Category=PBF
Category=PBKJ
Convection-Diffusion Problems
Domain Decomposition Methods
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Explicit Methods
Implicit Grid Methods
Incomplete Factorization
LU-Decomposition
Methods of h-Factorization
Numerical Experiments
Preconditioning
Rate of Convergence
Second Order Factorization Methods
Stability
Tridiagonal Matrices
Product details
- ISBN 9789810209964
- Publication Date: 01 Jul 1992
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods.
