Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0761.65023
Van der Vorst, H.A.
(Vorst, H. A. van der)
BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. (English)
[J] SIAM J. Sci. Stat. Comput. 13, No.2, 631-644 (1992). ISSN 0196-5204

In order to improve the convergence properties of the conjugate gradients-squared method, the author suggests making use of preconditioned matrices. Four examples of symmetric and nonsymmetric matrices are considered where modified incomplete Cholesky decomposition or incomplete LU-factorization is used. The calculation results show that the residual in this case decreases considerably faster and that this decrease is almost monotonous.
[Y.Shokin (Krasnoyarsk)]

MSC 2000:: *65F10 Iterative methods for linear systems
65F35 Matrix norms, etc. (numerical linear algebra)

Keywords: conjugate gradients-squared method; Bi-conjugate gradients method; numerical experiments; Bi-CGSTAB; nonsymmetric linear systems; iterative solver; preconditioning

Cited in: Zbl 1200.65024 Zbl 1014.65023 Zbl 0992.65107 Zbl 0980.65031 Zbl 0956.65024 Zbl 0954.65024 Zbl 0913.65109 Zbl 0812.65025 Zbl 0807.65031 Zbl 0837.65031 Zbl 0820.65016 Zbl 0810.65030 Zbl 0796.65036 Zbl 0748.65030

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]