Relationships Between Deflation and Global Methods in the Problem of Approximating Additional Zeros of a System of Nonlinear Equations-Reference-Cited by-同舟云学术

Relationships Between Deflation and Global Methods in the Problem of Approximating Additional Zeros of a System of Nonlinear Equations

Published:1983 Issue: Volume: Page:31-42
ISSN:
Container-title:Homotopy Methods and Global Convergence
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Author:

Allgower E. L.,Georg K.

Publisher

Springer US

Link

http://link.springer.com/content/pdf/10.1007/978-1-4613-3572-6_3.pdf

Reference19 articles.

1. Allgower, E. L. and Georg, K., Homotopy methods for approximating several solutions to nonlinear systems of equations, in: Numerical Solution of Highly Nonlinear Problems, ed. W. Forster, North-Holland, Amsterdam, 1980, 253–270.

2. Branin, F. H. Jr., Widely convergent method for finding multiple solutions of simultaneous nonlinear equations, I.B.M. J. Research Develop. 16 (1972), 504–522.

3. Branin, F. H. Jr. and Hoo, S. K., A method for finding multiple extrema of a function of N variables, Proceedings of the Conference on Numerical Methods for Nonlinear Optimisation, University of Dundee, Scotland, 1971; Numerical Methods for Nonlinear Optimisation, ed. F. A. Lootsma, Academic Press, London, 1972, 231–237.

4. Brown, K. M., A quadratically convergent Newton-like method based upon Gaussian elimination, SIAM J. Numer. Anal. 6 (1969), 560–569.

5. Brown, K. M. and Gearhart, W. B., Deflation techniques for the calculation of further solutions of a nonlinear system, Numer. Math. 16 (1971), 334–342.

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