On the Existence Theorems of Kantorovich, Moore and Miranda-Reference-Cited by-同舟云学术

On the Existence Theorems of Kantorovich, Moore and Miranda

Published:2001 Issue: Volume: Page:21-28
ISSN:0344-8029
Container-title:Topics in Numerical Analysis
language:
Short-container-title:

Author:

Alefeld G. E.,Potra F. A.,Shen Z.

Publisher

Springer Vienna

Link

http://link.springer.com/content/pdf/10.1007/978-3-7091-6217-0_3.pdf

Reference12 articles.

1. Alefeld, G., Shen, Z.: Miranda’s theorem and the verification of linear complementarity problems. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung. Universität Karlsruhe (2001).

2. Deuflhard, P., Heindl, G.: Affine invariant convergence theorems for Newton’s method and extension to related methods. SIAM J. Numer. Anal. 16, 1–10 (1980).

3. Krawczyk, R.: Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken. Computing 4, 187–201 (1969).

4. Miranda, C: Un’ osservatione su un theorema di Brouwer. Bolletino Unione Mathematica Italiana 2 vol 3, 5–7 (1940).

5. Moore, R. E.: A Test for existence of solutions to nonlinear systems. SIAM J. Numer. Anal. 14, 611–615(1977).

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Search Strategies for Floating Point Constraint Systems;Lecture Notes in Computer Science;2017

2. On Computability and Triviality of Well Groups;Discrete & Computational Geometry;2016-05-31

3. Proving the existence of zeros using the topological degree and interval arithmetic;Journal of Computational and Applied Mathematics;2007-02

4. Comparison of the Hansen-Sengupta and the Frommer-Lang-Schnurr existence tests;Computing;2007-01-16

5. Bibliography;Studies in Computational Mathematics;2007