Development of the Overholt transformation for accelerating the convergence of sequences

R. Thukral

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Development of the Overholt transformation for accelerating the convergence of sequences

机译：开发Overholt变换以加速序列收敛

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In this paper we demonstrate the development of the Overholt transformation. We consider the use of the Overholt-type transformations to accelerate the convergence of scalar sequence and their effectiveness for approximating the solution of a given power series is illustrated. In process we shall demonstrate the convergence of each of the methods considered. The approximate solution of the improved Overholt transformation and the modified Overholt transformation are found to be substantially more accurate than the classical Overholt transformation and the Wimp transformation.

机译：在本文中，我们演示了Overholt变换的发展。我们考虑使用Overholt型变换来加速标量序列的收敛，并说明了它们对逼近给定幂级数解的有效性。在过程中，我们将证明所考虑的每种方法的收敛性。发现改进的Overholt变换和改进的Overholt变换的近似解比经典的Overholt变换和Wimp变换要精确得多。

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《Applied mathematics and computation》 |2007年第2期|共8页
作者
R. Thukral;
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正文语种 eng
中图分类应用数学;
关键词
Improved Overholt transformation; Modified Overholt transformation; Overholt transformation; Wimp transformation; Acceleration convergence;

机译：改进的Overholt变换;修改的Overholt变换;Overholt变换;Wimp变换;加速收敛;

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1. Development of the Overholt transformation for accelerating the convergence of sequences [J] . R. Thukral Applied mathematics and computation . 2007,第2期

机译：开发Overholt变换以加速序列收敛
2. Further development of the new algorithms for accelerating the convergence of functional-type sequences [J] . Thukral R Applied mathematics and computation . 2007,第1期

机译：进一步开发新算法以加速功能类型序列的收敛
3. Development of the Levin-type algorithms for accelerating convergence of sequences [J] . Thukral R Nonlinear Analysis: An International Multidisciplinary Journal . 2006,第2期

机译：加快序列收敛的Levin型算法的开发
4. Pade-Type Approximation Method for Accelerating the Convergence of Function-valued Sequences [C] . Chuanqing Gu, Beibei Wu, Baozhen Pan International Symposium on Computing and Its Applications in Information Science(ISCIAIS 2005); 20050815-19; Hefei(CN) . 2005

机译：加速函数值序列收敛的Pade型逼近方法
5. Exhaustive weakly wandering sequences for alpha type transformations. [D] . Lindhe, John. 2009

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7. Nonlinear transformations for accelerating the convergence of $M$-dimensional series [O] . N. C. Albertsen, G. Jacobsen, S. B. Sørensen 1983

机译：加速$ M $ -dimensional系列收敛的非线性变换
8. USE OF TRANSFORMATIONS ON PARAMETERS IN NON-LINEAR THEORY. Ⅰ.TRANSFORMATIONS TO ACCELERATE CONVERGENCE IN NON-LINEAR LEAST SQUARES [R] . Irwin tGuttman, tDuane A. Meeter 1964

机译：变换在非线性理论中对参数的应用。 Ⅰ。加速非线性最小二乘收敛的变换

Development of the Overholt transformation for accelerating the convergence of sequences

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