publication . Preprint . Article . 2013

Higher Order Aitken Extrapolation with Application to Converging and Diverging Gauss-Seidel Iterations

Ababu Teklemariam Tiruneh;
Open Access English
  • Published: 16 Oct 2013
Comment: 32 pages ; 8 figures ; 9 tables
free text keywords: Mathematics - Numerical Analysis, Computer Science - Numerical Analysis, 65Bxx, Minimum polynomial extrapolation, Successive over-relaxation, Fixed-point iteration, Gauss–Seidel method, Mathematical analysis, Mathematics, Aitken's delta-squared process, Extrapolation, Linear equation, Power iteration

[1] [2] [3] [4] [5] Herbert L. Stone. Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations. SIAM Journal on Numerical Analysis, Vol. 5, No. 3, pp. 530-558. 1968.

M. R. Hestenes and E. Stiefel. Methods of conjugate gradients for solving linear systems. Journal of Research at the National Bureau of Standards,49:409-436, 1952. [OpenAIRE]

G. H Golub and C. F. Van Loan. Matrix Computations. Johns Hopkins University Press, Baltimore, MD, 3 edition, 1996.

J. C.West. Preconditioned iterative solution of scattering from rough surfaces. IEEE Trans. Antennas Propagat., 48(6):1001-1002, 2000.

A.C. Aitken, Studies in practical mathematics. The evaluation of latent roots and latent vectors of a matrix. Proc. R. Soc. Edinburgh 57:269. 1937.

Any information missing or wrong?Report an Issue