An object-oriented framework for block preconditioning

DOI10.1145/290200.287639zbMath0930.65052OpenAlexW1970450084WikidataQ113310188 ScholiaQ113310188MaRDI QIDQ4256906

Michael A. Heroux, Edmond Chow

Publication date: 3 August 1999

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/290200.287639

zbMATH Keywords

preconditioningdata structuresobject-oriented programmingblock matricesiterative solutionblock relaxationsblock-incomplete factorizations

Mathematics Subject Classification ID

Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Enhancing Performance and Robustness of ILU Preconditioners by Blocking and Selective Transposition ⋮ A finite element method for unstructured grid smoothing. ⋮ Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions ⋮ A high performance level-block approximate LU factorization preconditioner algorithm ⋮ Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids ⋮ Incomplete factorization by local exact factorization (ILUE) ⋮ A finite element method for three-dimensional unstructured grid smoothing ⋮ Stabilized and block approximate inverse preconditioners for problems in solid and structural mechanics ⋮ BPKit ⋮ Unified computational framework for the efficient solution of \(n\)-field coupled problems with monolithic schemes ⋮ Design and deployment of distributed numerical applications using .NET and component oriented programming ⋮ Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier--Stokes and MHD ⋮ An implicit compact scheme solver for two-dimensional multicomponent flows ⋮ A grid-based multilevel incomplete LU factorization preconditioning technique for general sparse matrices ⋮ Preconditioning techniques for large linear systems: A survey

Uses Software

• Diffpack
• BLAS
• ITSOL
• BlockSolve95
• SPARSKIT
• Harwell-Boeing sparse matrix collection
• ISIS++
• ParPre

This page was built for publication: An object-oriented framework for block preconditioning