Double-pass variants for multi-shift BiCGstab(`)

Influence of an Inclusion on Multi-Pass Copper Shaped-Wire Drawing by 2D Finite Element Analysis

The size and length effects of an inclusion on multi-pass copper shaped-wire drawing were investigated. For this purpose, an experimental investigation on optimal die half-angle was conducted. Based on experimental data of optimal die half-angle, wire and inclusion deformations, drawing and hydrostatic stress of copper shaped-wires that contain an inclusion were calculated by two-dimensional fi...

Recycling BiCGSTAB with an Application to Parametric Model Order Reduction

Krylov subspace recycling is a process for accelerating the convergence of sequences of linear systems. Based on this technique we have recently developed the recycling BiCG algorithm. We now generalize and extend this recycling theory to BiCGSTAB. Recycling BiCG focuses on efficiently solving sequences of dual linear systems, while the focus here is on efficiently solving sequences of single l...

S-Step BiCGStab Algorithms for Geoscience Dynamic Simulations

In basin and reservoir simulations, the most expensive and time consuming phase is solving systems of linear equations using Krylov subspace methods such as BiCGStab. For this reason, we explore the possibility of using communication avoiding Krylov subspace methods (s-step BiCGStab), that speedup of the convergence time on modern-day architectures, by restructuring the algorithms to reduce com...

Computational variants of the CGS and BiCGstab methods

The CGS and BiCGstab algorithms were derived by their authors from the bi-conjugate gradient iteration. In this paper a derivation from the (unnormalized) Lanczos algorithm is given. Experimental results are given, showing that these methods offer no immediate advantage over their earlier counterparts.

Variants of BICGSTAB for Matrices with Complex Spectrum