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Volume 21, Issue 2
On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces

Xinghua Wang & Chong Li

J. Comp. Math., 21 (2003), pp. 195-200.

Published online: 2003-04

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  • Abstract

 The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the $L$-average, and a united convergence theory with its applications is presented.

  • Keywords

Operator equation, The family of Enler-Halley, Iterations, Cubical convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-195, author = {Xinghua Wang and Chong Li}, title = {On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {2}, pages = {195--200}, abstract = {

 The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the $L$-average, and a united convergence theory with its applications is presented.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10273.html} }
TY - JOUR T1 - On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces AU - Xinghua Wang & Chong Li JO - Journal of Computational Mathematics VL - 2 SP - 195 EP - 200 PY - 2003 DA - 2003/04 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10273.html KW - Operator equation, The family of Enler-Halley, Iterations, Cubical convergence. AB -

 The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the $L$-average, and a united convergence theory with its applications is presented.

Xinghua Wang and Chong Li. (2003). On the United Theory of the Family of Euler-Halley Type Methods with Cubical Convergence in Banach Spaces. Journal of Computational Mathematics. 21 (2). 195-200. doi:
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