SIAM Journal on Scientific and Statistical Computing
A weakly stable algorithm for Pade´ approximants and the inversion of Hankel matrices
SIAM Journal on Matrix Analysis and Applications
Variants of BICGSTAB for matrices with complex spectrum
SIAM Journal on Scientific Computing
Composite Step Product Methods for Solving Nonsymmetric Linear Systems
SIAM Journal on Scientific Computing
Estimating the Attainable Accuracy of Recursively Computed Residual Methods
SIAM Journal on Matrix Analysis and Applications
Look-Ahead Procedures for Lanczos-Type Product Methods Based on Three-Term Lanczos Recurrences
SIAM Journal on Matrix Analysis and Applications
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
VPAStab(J,L) denotes an iterative method designed to give an accurate numerical solution of a large sparse system of linear equations. The iteration comprises L-steps and possibly jump-steps. An L-step involves stabilisation (minimisation) over an L-dimensional subspace following L levels of vector-Pade approximation. A jump-step (look-ahead stage) avoids near-breakdowns by jumping past them by J levels simultaneously. A numerical implementation of VPAStab(2,L) is considered in the context of some well-known examples.