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» A new iterative method for solving nonlinear equations
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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...
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
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
MOC
2000
105views more  MOC 2000»
13 years 7 months ago
On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
The iteratively regularized Gauss-Newton method is applied to compute the stable solutions to nonlinear ill-posed problems F (x) = y when the data y is given approximately by y wit...
Jin Qi-nian
SIAMJO
2010
137views more  SIAMJO 2010»
13 years 5 months ago
Global Convergence of a New Hybrid Gauss--Newton Structured BFGS Method for Nonlinear Least Squares Problems
In this paper, we propose a hybrid Gauss-Newton structured BFGS method with a new update formula and a new switch criterion for the iterative matrix to solve nonlinear least square...
Weijun Zhou, Xiaojun Chen