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Volume 2, Issue 1
Order Interval Test and Iterative Method for Nonlinear Systems

Qing-Yang Li

J. Comp. Math., 2 (1984), pp. 50-55.

Published online: 1984-02

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  • Abstract

An order interval test for existence and uniqueness of solutions to a nonlinear system is given. It combines the interval technique and the monotone iterative technique. It has the main merits of interval iterative methods but need not use interval arithmetic. An order interval Newton method is also given, which is globally convergent. It is a generalization of the results in [3,4,13.3].

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@Article{JCM-2-50, author = {Qing-Yang Li}, title = {Order Interval Test and Iterative Method for Nonlinear Systems}, journal = {Journal of Computational Mathematics}, year = {1984}, volume = {2}, number = {1}, pages = {50--55}, abstract = {

An order interval test for existence and uniqueness of solutions to a nonlinear system is given. It combines the interval technique and the monotone iterative technique. It has the main merits of interval iterative methods but need not use interval arithmetic. An order interval Newton method is also given, which is globally convergent. It is a generalization of the results in [3,4,13.3].

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9639.html} }
TY - JOUR T1 - Order Interval Test and Iterative Method for Nonlinear Systems AU - Qing-Yang Li JO - Journal of Computational Mathematics VL - 1 SP - 50 EP - 55 PY - 1984 DA - 1984/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9639.html KW - AB -

An order interval test for existence and uniqueness of solutions to a nonlinear system is given. It combines the interval technique and the monotone iterative technique. It has the main merits of interval iterative methods but need not use interval arithmetic. An order interval Newton method is also given, which is globally convergent. It is a generalization of the results in [3,4,13.3].

Qing-Yang Li. (1984). Order Interval Test and Iterative Method for Nonlinear Systems. Journal of Computational Mathematics. 2 (1). 50-55. doi:
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