Comparison of Brown's and Newton's method in the monotone case-Reference-Cited by-同舟云学术

Comparison of Brown's and Newton's method in the monotone case

Published:1987-09 Issue:5 Volume:52 Page:511-521
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Frommer Andreas

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01400889.pdf

Reference13 articles.

1. Brown, K.M.: A quadratically convergent method for solving simultaneous nonlinear equations. Ph.D. Diss., Purdue Univ. Lafayette, Indiana (1966)

2. Brown, K.M.: Algorithm 316. Solution of simultaneous non-linear equations. Commun. ACM10, 728?729 (1967)

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

4. Brown, K.M., Dennis, J.E., Jr.: On the second order convergence of Brown's derivative-free method for solving simultaneous nonlinear equations. Res. Rep. N. 71?7, Dept. of Comput. Sci., Yale Univ., New Haven, Connecticut (1971)

5. Chandrasekhar, S.: Radiative transfer. Oxford: At the Clarendon Press (1950)

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4. The global convergence of the ABS methods for a class of nonlinear problems;Optimization Methods and Software;1994-01

5. Verallgemeinerte Diagonaldominanz bei nichtlinearen Funktionen II: Anwendung auf asynchrone Iterationsverfahren und Beispiele;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;1992