Title :
The Algorithm of GMRES and Its Convergence Analysis
Author :
Liping, Zhao ; Qiliang, Shu ; Junyao, Ye
Author_Institution :
Inf. Technol., Jingdezhen Ceramic Inst., Jingdezhen, China
Abstract :
This paper aims at Generalized Minimal Residuals(GMRES) method to solve the asymmetric matrix, analyzes the GMRES algorithm. This paper also discusses the convergence speed of GMRES methods and the influence of approximation degree by the Ritz values to eigenvalues in the process of oblique projection.
Keywords :
convergence; eigenvalues and eigenfunctions; matrix algebra; GMRES; approximation degree; asymmetric matrix; convergence analysis; convergence speed; eigenvalues; generalized minimal residuals method; oblique projection; ritz values; Algorithm design and analysis; Approximation algorithms; Convergence; Eigenvalues and eigenfunctions; Polynomials; Process control; Convergence Rate; GMRES: Convergence Analysis; Ritz Vvalues;
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.2012.313
