Block conjugate gradient type methods for the approximation of bilinear form \(C^HA^{-1}B\)

DOI10.1016/j.camwa.2013.09.023zbMath1368.65050OpenAlexW1981089378MaRDI QIDQ2013786

Lei Du, Yasunori Futamura, Tetsuya Sakurai

Publication date: 9 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.09.023

zbMATH Keywords

Krylov subspace methodsblock BiCGblock bilinear formblock conjugate gradient (CG)

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Quadratic and bilinear forms, inner products (15A63)

Related Items

Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems

Uses Software

• SparseMatrix

Cites Work

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• A block IDR\((s)\) method for nonsymmetric linear systems with multiple right-hand sides
• A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
• The block grade of a block Krylov space
• The block conjugate gradient algorithm and related methods
• Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods
• A block version of BiCGSTAB for linear systems with multiple right-hand sides
• On error estimation in the conjugate gradient method and why it works in finite precision computations
• Error estimation in preconditioned conjugate gradients
• Some large-scale matrix computation problems
• A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method
• The university of Florida sparse matrix collection
• On Efficient Numerical Approximation of the Bilinear Form $c^*A^{-1}b$
• Estimation of u^Tƒ(A)v for large‐scale unsymmetric matrices
• An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
• Retooling the method of block conjugate gradients