Numerical experiments with two approximate inverse preconditioners
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Publication:1267015
DOI10.1007/BF02512364zbMath0909.65027MaRDI QIDQ1267015
Publication date: 22 March 1999
Published in: BIT (Search for Journal in Brave)
numerical experimentssparse linear systemsSPAIILUapproximate inversesinverse preconditioningpreconditioned iterative methodsincomplete biconjugation
Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
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Uses Software
Cites Work
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- A parallel preconditioned conjugate gradient package for solving sparse linear systems on a Cray Y-MP
- A comparative study of sparse approximate inverse preconditioners
- Wavelet sparse approximate inverse preconditioners
- Sparse matrix test problems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Approximate inverse preconditionings for sparse linear systems
- Factorized Sparse Approximate Inverse Preconditionings I. Theory
- An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
- Parallel Preconditioning with Sparse Approximate Inverses
- Sparse Approximate-Inverse Preconditioners Using Norm-Minimization Techniques
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- Approximate Inverse Preconditioners via Sparse-Sparse Iterations
- Orderings for Factorized Sparse Approximate Inverse Preconditioners
- A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method