Epsilon-algorithm and eta-algorithm of generalized inverse function-valued Pade approximants using for solution of integral equations

被引：0

作者：

Li, CJ ^{[1
]}

Gu, CQ

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

[2] Tongji Univ, Dept Math, Shanghai 200331, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 02期

关键词：

generalized inverse; function-valued Pade approximant; epsilon-algorithm; eta-algorithm; integral equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two efficient recursive algorithms epsilon-algorithm and eta-algorithm are introduced to compute the generalized inverse function-valued Pade approximants. The approximants were used to accelerate the convergence of the power series with function-valued coefficients and to estimate characteristic value of the integral equations. Famous Wynn identities of the Pade approximants is also established by means of the connection of two algorithms.

引用

页码：221 / 229

页数：9

共 38 条

[21] SOLUTION OF SYSTEMS OF EQUATIONS USING EPSILON-ALGORITHM, AND AN APPLICATION TO BOUNDARY-VALUE PROBLEMS
BREZINSKI, C
RIEU, AC
MATHEMATICS OF COMPUTATION, 1974, 28 (127) : 731 - 741
[22] An Algorithm for Computing Least-squares Function-valued Pade-type Approximation
Sui, Xiang
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (01): : 1 - 8
[23] On certain applications of the two-point Pade approximants by using extended epsilon algorithm
Chakir, Y.
Abouir, J.
Benouahmane, B.
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2019, 46 (02): : 400 - 409
[24] Orthogonal polynomials and determinant formulas of function-valued Padé-type approximation using for solution of integral equations
Chuan-qing Gu
Bao-zhen Pan
Bei-bei Wu
Applied Mathematics and Mechanics, 2006, 27 : 853 - 860
[25] Function-valued Pade-type approximant via the formal orthogonal polynomials and its applications in solving integral equations
Gu, Chuanqing
Shen, Jindong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 221 (01) : 114 - 131
[26] Aitken extrapolation and epsilon algorithm for an accelerated solution of weakly singular nonlinear Volterra integral equations
Mesgarani, H.
Aghazadeh, N.
Parmour, P.
PHYSICA SCRIPTA, 2010, 81 (02)
[27] The Solution Algorithm of Complex Fuzzy-Valued Function Integral by Fuzzy Structured Element
Sun, Jing
Guo, Si-zong
FUZZY INFORMATION AND ENGINEERING 2010, VOL 1, 2010, 78 : 55 - 63
[28] Systems of integral equations with a degenerate kernel and an algorithm for their solution using the Maple program
Kalimbetov, B. T.
Safonov, V. F.
Tuychiev, O. D.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 108 (04): : 60 - 75
[29] Efficient solution of liquid state integral equations using the Newton-GMRES algorithm
Booth, MJ
Schlijper, AG
Scales, LE
Haymet, ADJ
COMPUTER PHYSICS COMMUNICATIONS, 1999, 119 (2-3) : 122 - 134
[30] Efficient solution of liquid state integral equations using the Newton-GMRES algorithm
School of Chemistry, University of Sydney, Sydney, NSW 2006, Australia
不详
不详
不详
不详
Comput Phys Commun, 2 (122-134):

← 1 2 3 4 →