Approximate inverse banded matrix techniques

DOI10.1108/02644409910266485zbMath0947.65030OpenAlexW2078744592MaRDI QIDQ4700986

George A. Gravvanis

Publication date: 8 November 1999

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409910266485

zbMATH Keywords

numerical resultspreconditioninginverse matrixbanded linear systemsapproximate inversebanded matrixLU-type factorization

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Explicit approximate inverse preconditioning techniques ⋮ Explicit preconditioned domain decomposition schemes for solving nonlinear boundary value problems. ⋮ Explicit preconditioned conjugate gradient schemes for solving biharmonic equations

Cites Work

• Unnamed Item
• Inverses for a class of banded matrices and applications to piecewise cubic approximation
• A three-dimensional explicit preconditioned solver
• The rate of convergence of explicit approximate inverse preconditioning
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A class of explicit preconditioned conjugate gradient methods for solving large finite element systems
• Explicit preconditioned methods for solving 3d boundary-value problems by approximate inverse finite element matrix techniques

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