Secant methods for sparse systems of nonlinear equations with a special structure

Author:

Mönch W.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Reference14 articles.

1. Bulirsch, R.: Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertaufgaben und Aufgaben der optimalen Steuerung. Carl-Cranz-Gesellschaft Techn. Rep., 1971.

2. Danilin, Ju. M., Pšeničnyî, B. N.: O metodah minimizacii s uskorennoî shodimost'ju. Ž. Vyčisl. Mat. i Mat. Fiz.10, 1341–1354 (1970).

3. Danilin, Ju. M., Pšeničnyî, B. N.: Ocenki skorosti shodimosti odnogo klassa algoritmov minimizacii. Dokl. Akad. Nauk SSSR213, 270–273 (1973)

4. Deuflhard, P.: A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Numer. Math.22, 289–315 (1974).

5. Deuflhard, P.: Nonlinear equation solvers in boundary value problem codes. TU München, Techn. Rep. TUM-MATH-7812 (1978).

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1. Efficient estimation of sparse Jacobian matrices by differences;Journal of Computational and Applied Mathematics;1987-04

2. Difference Newton-like methods under weak continuity conditions;Computing;1984-03

3. Newton-Type Decomposition Methods for Equations Arising in Network Analysis;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;1984

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