Dynamic block GMRES: An iterative method for block linear systems

DOI10.1007/s10444-006-9012-5zbMath1129.65024OpenAlexW1966863659MaRDI QIDQ2463394

Yanyan Li

Publication date: 6 December 2007

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-006-9012-5

zbMATH Keywords

algorithmconvergencenumerical examplesiterative methodsparallel computingArnoldi processgeneralized minimal residual (GMRES) methodblock systemsrank-revealing QR factorization

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items

The block Hessenberg process for matrix equations ⋮ The block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides ⋮ A block \(\mathrm{GCROT}(m, k)\) method for linear systems with multiple right-hand sides ⋮ Block minimum perturbation algorithm based on block Arnoldi process for nonsymmetric linear systems with multiple right-hand sides ⋮ A new deflated block GCROT(\(m,k\)) method for the solution of linear systems with multiple right-hand sides ⋮ MN-PGSOR method for solving nonlinear systems with block two-by-two complex symmetric Jacobian matrices ⋮ Block s-step Krylov iterative methods

Uses Software

• MatrixMarket
• PIM
• CGS

Cites Work

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• Rang revealing QR factorizations
• Rank and null space calculations using matrix decomposition without column interchanges
• A block variant of the GMRES method on massively parallel processors
• The parallel iterative methods (PIM) package for the solution of systems of linear equations on parallel computers
• Implementation of the GMRES Method Using Householder Transformations
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Computing rank-revealing QR factorizations of dense matrices
• A Technique for Accelerating the Convergence of Restarted GMRES

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