A block MINRES algorithm based on the band Lanczos method

DOI10.1007/s11075-014-9907-zzbMath1320.65051arXiv1301.2102OpenAlexW3104070086MaRDI QIDQ2356064

Kirk M. Soodhalter

Publication date: 28 July 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2102

zbMATH Keywords

Krylov subspace methodssymmetric matriceshigh-performance computingnumerical resultblock methodsminimum residual methodsband Lanczos

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

GMRES convergence bounds for eigenvalue problems ⋮ Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES ⋮ Inexact methods for the low rank solution to large scale Lyapunov equations ⋮ A block MINRES algorithm based on the band Lanczos method

Cites Work

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• A deflated conjugate gradient method for multiple right hand sides and multiple shifts
• A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
• Exact and inexact breakdowns in the block GMRES method
• Updating the QR decomposition of block tridiagonal and block Hessenberg matrices
• The block grade of a block Krylov space
• The block conjugate gradient algorithm and related methods
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• A block MINRES algorithm based on the band Lanczos method
• Convergence properties of block GMRES and matrix polynomials
• High-performance computing systems: Status and outlook
• Recent computational developments in Krylov subspace methods for linear systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Implementation Aspects of Band Lanczos Algorithms for Computation of Eigenvalues of Large Sparse Symmetric Matrices
• Solution of Sparse Indefinite Systems of Linear Equations
• A Lanczos-type method for multiple starting vectors
• On Improving Linear Solver Performance: A Block Variant of GMRES
• Dealing with linear dependence during the iterations of the restarted block Lanczos methods
• Retooling the method of block conjugate gradients

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