Higher order multi-step interval iterative methods for solving nonlinear equations in $$R^n$$ R n-Reference-Cited by-同舟云学术

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Higher order multi-step interval iterative methods for solving nonlinear equations in $$R^n$$ R n

Published:2016-05-19 Issue:2 Volume:74 Page:133-146
ISSN:2254-3902
Container-title:SeMA Journal
language:en
Short-container-title:SeMA

Author:

Singh Sukhjit,Gupta D. K.,Roy Falguni

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modelling and Simulation,Numerical Analysis

Link

http://link.springer.com/article/10.1007/s40324-016-0084-y/fulltext.html

Reference27 articles.

1. Alefeld, G., Herzberger, J.: Introduction to Interval Computation. Acadamic Press, New York (1983)

2. Alefeld, G.: On the convergence of some interval-arithmetic modifications of Newton’s method. SIAM J. Numer. Anal. 21, 363–372 (1984)

3. Alefeld, G., Gienger, A., Potra, F.: Efficent numerical validation of solutions of nonlinear systems. SIAM J. Numer. Anal. 31, 252–260 (1994)

4. Amat, S., Busquier, S., Gutierrez, G.M.: Geometric construction of itertaive functions to solve nonlinear equations. J. Comput. Appl. Math. 157, 197–205 (2003)

5. Bakhtiari, P., Lotfi, T., Mahdiani, K., Soleymani, F.: Interval Ostrowski-type methods with guaranteed convergence. Ann. Univ. Ferrara 59, 221–234 (2013)

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1. Generalized analysis of methods for solving systems of nonlinear equations with point and interval coefficients;Numerical Algorithms;2024-07-20

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