Improved iteration schemes for validation algorithms for dense and sparse nonlinear systems

Author:

Rump S. M.

Publisher

Springer Science and Business Media LLC

Subject

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

Reference15 articles.

1. Abbott, J. P., Brent, R. P.: Fast local convergence with single and multistep methods for nonlinear equations. Austr. Math. Soc. (Ser. B)19, 173–199 (1975).

2. Albrecht, J.: Minimal norms of non-negative, irreducible matrices (to appear in LAA).

3. Albrecht, J.: Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge. Numer. Math.4, 196–208 (1962).

4. Alefeld, G., Herzberger, J.: Einführung in die Intervallrechnung. Mannheim, Wien, Zürich: B.I. Wissenschaftsverlag 1974.

5. Fischer, H.: Automatic differentiation: fast method to compute the quadratic form of Hessian matrix and given vector. FACTA UNIVERSITAS (NIS), Ser. Math. Inform.3, 51–59 (1988).

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