Approximate inverses of multidiagonal matrices and application to the block PCG method

DOI10.1007/BF01732978zbMath0827.65033OpenAlexW2049089479MaRDI QIDQ1893942

Guangyao Lei, David J. Evans

Publication date: 13 July 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01732978

zbMATH Keywords

numerical examplesinverse matricesdiagonally dominant matricesblock preconditioned conjugate gradient methodmultidiagonal band matrixtruncated elimination

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Incomplete block matrix factorization preconditioning methods. The ultimate answer?
• On computing INV block preconditionings for the conjugate gradient method
• Block Preconditioning for the Conjugate Gradient Method
• Incomplete lu decompositions based on order matrices
• Further developments of iccg and miccg

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