scientific article; zbMATH DE number 1406971

DOI<275::AID-NLA131>3.0.CO;2-B 10.1002/(SICI)1099-1506(199807/08)5:4<275::AID-NLA131>3.0.CO;2-BzbMath0937.65037MaRDI QIDQ4940823

Homer F. Walker, Rakesh K. Kapania, Maria Sosonkina, Layne T. Watson

Publication date: 27 February 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algorithmnumerical resultsorthogonalizationrestarted GMRESHouseholder transformationsnonsymmetric linear systemsGramm-Schmidt orthogonalization

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Orthogonalization in numerical linear algebra (65F25)

Related Items

Complete stagnation of GMRES, A simple strategy for varying the restart parameter in GMRES\((m)\), 3-D rolling processing analysis by fast multipole boundary element method, GMRES implementations and residual smoothing techniques for solving ill-posed linear systems, GMRES algorithms over 35 years, Memory efficient hybrid algebraic solvers for linear systems arising from compressible flows, A proportional-derivative control strategy for restarting the GMRES(\(m\)) algorithm, An Efficient Variant of the GMRES(m) Method Based on the Error Equations, A look-back-type restart for the restarted Krylov subspace methods for solving non-Hermitian linear systems, GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem

Uses Software

• HOMPACK

Cites Work

• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• The superlinear convergence behaviour of GMRES
• Preconditioned iterative methods for sparse linear algebra problems arising in circuit simulation
• Numerical behaviour of the modified Gram-Schmidt GMRES implementation
• Algorithm 652
• GMRES On (Nearly) Singular Systems
• Tracking nonlinear equilibrium paths by a homotopy method
• Implementation of the GMRES Method Using Householder Transformations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Accurate rigid-body modes representation for a nonlinear curved thin-shell element
• Preconditioned Iterative Methods for Homotopy Curve Tracking
• Experiments with Conjugate Gradient Algorithms for Homotopy Curve Tracking
• Newton-type methods for unconstrained and linearly constrained optimization
• GMRESR: a family of nested GMRES methods
• On the convergence behavior of the restarted GMRES algorithm for solving nonsymmetric linear systems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• Solving linear least squares problems by Gram-Schmidt orthogonalization