GPBi‐CGstab( L ): A Lanczos‐type product method unifying Bi‐CGstab( L ) and GPBi‐CG

Bicgstab(l) for Linear Equations Involving Unsymmetric Matrices with Complex

For a number of linear systems of equations arising from realistic problems, using the Bi-CGSTAB algorithm of van der Vorst [17] to solve these equations is very attractive. Unfortunately, for a large class of equations, where, for instance, Bi-CG performs well, the convergence of BiCGSTAB stagnates. This was observed specifically in case of discretized advection dominated PDE’s. The stagnation...

Product L ukasiewicz Logic

Psychologyy: L. L. Thurstone Graphical Method of Factoring the Correlation Matrix by L. L. Thurstone

DELFT UNIVERSITY OF TECHNOLOGY REPORT 09-02 Exploiting BiCGstab(l) strategies to induce dimension reduction

IDR(s) [9] and BiCGstab(l) [5] are two of the most efficient short recurrence iterative methods for solving large nonsymmetric linear systems of equations. Which of the two is best depends on the specific problem class. In this paper we derive a new method, that we call IDRstab, that that combines the strengths of IDR(s) and BiCGstab(l). To derive IDRstab we extend the results that we reported ...

Bicgstab(l) for Linear Equations Involving Unsymmetric Matrices with Complex Spectrum

For a number of linear systems of equations arising from realistic problems, using the Bi-CGSTAB algorithm of van der Vorst [17] to solve these equations is very attractive. Unfortunately, for a large class of equations, where, for instance, Bi-CG performs well, the convergence of BiCGSTAB stagnates. This was observed specifically in case of discretized advection dominated PDE’s. The stagnation...