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» On new iterative method for solving systems of nonlinear equ...
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MP
2002
101views more  MP 2002»
13 years 7 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
MP
2002
105views more  MP 2002»
13 years 7 months ago
Local behavior of an iterative framework for generalized equations with nonisolated solutions
An iterative framework for solving generalized equations with nonisolated solutions is presented. For generalized equations with the structure 0 F(z) + T (z), where T is a multifu...
Andreas Fischer
AUTOMATICA
2007
75views more  AUTOMATICA 2007»
13 years 7 months ago
System theory for numerical analysis
Many numerical schemes can be suitably studied from a system theoretic point of view. This paper studies the relationship between the two disciplines, that is, numerical analysis ...
Kenji Kashima, Yutaka Yamamoto
ANOR
2008
53views more  ANOR 2008»
13 years 7 months ago
A globally convergent inexact Newton method with a new choice for the forcing term
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step sk of the Newton's system J(xk)s = -F(xk) is found. This means that sk must...
Márcia A. Gomes-Ruggiero, Véra Lucia...
STOC
2007
ACM
128views Algorithms» more  STOC 2007»
14 years 7 months ago
Iteratively constructing preconditioners via the conjugate gradient method
We consider the problem of solving a symmetric, positive definite system of linear equations. The most well-known and widely-used method for solving such systems is the preconditi...
John Dunagan, Nicholas J. A. Harvey