Variations of Zhang's Lanczos-type product method

Applied Numerical Mathematics

Volumn 41, Issue 1, 2002, Pages 119-133

  Röllin, Stefan ^a   Gutknecht, Martin H ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

BiCG MR2; Biconjugate gradients; GPBi CG; Krylov space method; Lanczos type product method

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; VECTORS;

RESIDUAL POLYNOMIALS;

LINEAR EQUATIONS;

EID: 0036532998     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00114-3     Document Type: Conference Paper

References (15)

1. On the QMR approach for iterative methods including coupled three-term recurrences for solving nonsymmetric linear systems
2. Conjugate gradient methods for indefinite systems
3. Generalized conjugate gradient squared
4. Estimating the attainable accuracy of recursively computed residual methods
5. Variants of BiCGSTAB for matrices with complex spectrum
6. Local minimum residual smoothing
7. Lanczos-type solvers for nonsymmetric linear systems of equations
8. Accuracy of two three-term and three two-term recurrences for Krylov space solvers
9. Solution of systems of linear equations by minimized iterations
10. Iterative regularization for large-scale ill-conditioned linear systems
11. Auf 2-Term-Rekursionen beruhende produktmethoden vom Lanczos-Typ
12. CGS, a fast Lanczos-type solver for nonsymmetric linear systems
13. Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems
14. Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals
15. GPBI-CG: Generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems