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Affin-invariant Newton Techniques (ANT) - References

1. P. Deuflhard: A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting. Numer. Math. 22, p. 289-315 (1974).


2. P. Deuflhard: A Relaxation Strategy for the Modified Newton Method. In: Bulirsch/Oettli/Stoer (ed.): Optimization and Optimal Control. Springer Lecture Notes 477, p. 59-73 (1975).


3. P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Series Computational Mathematics 35, Springer (2004)

4. P. Deuflhard:
Global Inexact Newton Methods for Very Large Scale Nonlinear Problems. Konrad-Zuse-Zentrum fuer Informationstechnik Berlin, Preprint SC 90-2 (1990)


5. P. Deuflhard, R. Freund, A. Walter: Fast Secant Methods for the Iterative Solution of Large Nonsymmetric Linear Systems. IMPACT Comput. Sci. Eng. 2, 244-276 (1990)


6. A. Greenbaum: Routines for Solving Large Sparse Linear Systems Lawrence Livermore Nat. Laboratory, Livermore Computing Center, Januar 1986 Tentacle, pp 15-21


7. U. Nowak, L. Weimann: GIANT - A Software Package for the Numerical Solution of Very Large Systems of Highly Nonlinear Equations Konrad-Zuse-Zentrum für Informationstechnik Berlin Technical Report, TR 90-11, Dezember 1990


8. U. Nowak, L. Weimann: A Family of Newton Codes for Systems of Highly Nonlinear Equations Konrad-Zuse-Zentrum für Informationstechnik Berlin Technical Report, TR 91-10, Dezember 1991


9. M. Seager: A SLAP for the Masses Lawrence Livermore Nat. Laboratory Technical Report, UCRL-100267, Dezember 1988


ANT - Introduction   Codes - Introduction  NLEQ1   NLEQ1S
NLEQ2                    GIANT                        References