The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
Yousef El-Mabruk Saad · SIAM Journal on Numerical Analysis · 1982
Many powerful methods for solving systems of equations can be regarded as projection methods. Most of the projection methods known for solving linear systems are orthogonal projection methods but little attention has been given to the class of nonorthogonal (or oblique) projection methods, which is particularly attractive for large nonsymmetric systems. The purpose of the paper is to present some methods in the general setting of oblique projection methods and to give some theoretical results. Some experiments comparing the various algorithms are reported.