A class of linear solvers built on the Biconjugate A-Orthonormalization Procedure for solving unsymmetric linear systems
For researchers and practitioners solving large unsymmetric linear systems, this provides a more efficient solver family.
The paper introduces a family of iterative solvers for unsymmetric linear systems based on the Biconjugate A-Orthonormalization Procedure, which are fast convergent and memory-efficient. Numerical experiments show they are highly competitive and often superior to Arnoldi and biconjugate Lanczos methods.
We present economical iterative algorithms built on the Biconjugate $A$-Orthonormalization Procedure for real unsymmetric and complex non-Hermitian systems. The principal characteristics of the developed solvers is that they are fast convergent and cheap in memory. We report on a large combination of numerical experiments to demonstrate that the proposed family of methods is highly competitive and often superior to other popular algorithms built upon the Arnoldi method and the biconjugate Lanczos procedures for unsymmetric linear sytems.