Title :
ML(n)BiCGStabt: A ML(n)BiCGStab Variant with A-transpose
Author :
Yeung, Man-Chung
Author_Institution :
Dept. of Math., Univ. of Wyoming, Laramie, WY, USA
Abstract :
The 1980 IDR method plays an important role in the history of Krylov subspace methods. It started the research of transpose-free Krylov subspace methods. In this paper, we attempt to bring back A-transpose to the research by presenting a new ML(n)BiCGStab algorithm named ML(n)BiCGStabt. ML(n)BiCGStabt involves A-transpose in its implementation. Comparisons of this new algorithm with the existing ML(n)BiCGStab algorithms will be made.
Keywords :
matrix algebra; A-transpose; ML(n)BiCGStab algorithm; ML(n)BiCGStabt; transpose-free Krylov subspace methods; Approximation algorithms; Convergence; Heuristic algorithms; Indexes; Linear systems; Polynomials; Vectors; BiCGStab; CGS; Krylov subspace method; Linear system; ML(n)BiCGStab;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4673-2406-9
DOI :
10.1109/ICCIS.2012.183