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A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A new method for computing the approximation of bivariate matrix function is introduced.
It uses the construction of bivariate Newton-Thiele type matrix rational interpolants on a rectangular grid.
The rational interpolant is of the form motivated by Tan and Fang (2000), which is combined by Newton interpolant and branched continued fractions, with scalar denominator.
The matrix quotients are based on the generalized inverse for a matrix which is introduced by C.
Gu the author of this paper, and it is effective in continued fraction interpolation.
The algorithm and some other important conclusions such as divisibility and characterization are given.
In the end, two examples are also given to show the effectiveness of the algorithm.
The numerical results of the second example show that the algorithm of this paper is better than the method of Thieletype matrix-valued rational interpolant in Gu (1997).
American Psychological Association (APA)
Cui, Rongrong& Gu, Chuanqing. 2013. A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-487628
Modern Language Association (MLA)
Cui, Rongrong& Gu, Chuanqing. A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-487628
American Medical Association (AMA)
Cui, Rongrong& Gu, Chuanqing. A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-487628
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487628