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» Some new iterative methods with three-order convergence
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SIAMNUM
2011
95views more  SIAMNUM 2011»
13 years 1 months ago
A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems
We consider the methods xδ n+1 = xδ n − gαn (F (xδ n)∗F (xδ n))F (xδ n)∗(F (xδ n)− yδ) for solving nonlinear ill-posed inverse problems F (x) = y using the only ava...
Qinian Jin
SIAMJO
2010
137views more  SIAMJO 2010»
13 years 4 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
AMC
2007
95views more  AMC 2007»
13 years 6 months ago
A one-parameter family of third-order methods to solve nonlinear equations
In this paper we present a new one-parameter family of iterative methods to solve nonlinear equations which includes some well-known third-order methods as particular ones. The co...
Changbum Chun
DAGSTUHL
2007
13 years 7 months ago
Convergence of iterative aggregation/disaggregation methods based on splittings with cyclic iteration matrices
Iterative aggregation/disaggregation methods (IAD) belong to competitive tools for computation the characteristics of Markov chains as shown in some publications devoted to testing...
Ivo Marek, Ivana Pultarová, Petr Mayer