A new proof of the cross-rule for the ϵ-algorithm based on Schur-complements

Author:

Tempelmeier Uwe

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference14 articles.

1. Recursive interpolation, extrapolation and projection;Brezinski;J. Comput. Appl. Math.,1983

2. Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir and Cayley;Brualdi;Lin. Alg. Appl.,1983

3. Manifestations of the Schur complement;Cottle;Lin. Alg. Appl.,1974

4. An identity for the Schur complement of a matrix;Crabtree;Proc. Amer. Math. Soc.,1969

5. M. Gasca and G. Mühlbach, Generalized Schur complements, IMACS, J. Appl. Num. Math., to appear.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The genesis and early developments of Aitken’s process, Shanks’ transformation, the ε–algorithm, and related fixed point methods;Numerical Algorithms;2018-08-23

2. Cross rules of some extrapolation algorithms;Inverse Problems;2010-08-16

3. Shank's transformation revisited;Linear Algebra and its Applications;1992-08

4. Bibliography;Studies in Computational Mathematics;1991

5. On a general ρ-algorithm;Journal of Computational and Applied Mathematics;1990-12

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