Newton-Krylov type algorithm for solving nonlinear least squares problems.
Abdel-Aziz, Mohammedi R., El-Alem, Mahmoud M. (2009)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Multiple root finder algorithm for Legendre and Chebyshev polynomials via Newton's method.”
Newton-Krylov type algorithm for solving nonlinear least squares problems.
A parametrized Newton method for nonsmooth equations with finitely many maximum functions
Shou-qiang Du, Yan Gao (2009)
Applications of Mathematics
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In this paper we propose a parametrized Newton method for nonsmooth equations with finitely many maximum functions. The convergence result of this method is proved and numerical experiments are listed.
A new simultaneous subgradient projection algorithm for solving a multiple-sets split feasibility problem
Yazheng Dang, Yan Gao (2014)
Applications of Mathematics
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In this paper, we present a simultaneous subgradient algorithm for solving the multiple-sets split feasibility problem. The algorithm employs two extrapolated factors in each iteration, which not only improves feasibility by eliminating the need to compute the Lipschitz constant, but also enhances flexibility due to applying variable step size. The convergence of the algorithm is proved under suitable conditions. Numerical results illustrate that the new algorithm has better convergence...
An accurate active set Newton algorithm for large scale bound constrained optimization
Li Sun, Guoping He, Yongli Wang, Changyin Zhou (2011)
Applications of Mathematics
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A new algorithm for solving large scale bound constrained minimization problems is proposed. The algorithm is based on an accurate identification technique of the active set proposed by Facchinei, Fischer and Kanzow in 1998. A further division of the active set yields the global convergence of the new algorithm. In particular, the convergence rate is superlinear without requiring the strict complementarity assumption. Numerical tests demonstrate the efficiency and performance of the...
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory.
Wu, Shulin, Huang, Chengming (2009)
Mathematical Problems in Engineering
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A trust-region-based BFGS method with line search technique for symmetric nonlinear equations.
Yuan, Gonglin, Meng, Shide, Wei, Zengxin (2009)
Advances in Operations Research
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On a Second-Order Step-Size Algorithm
Nada I. Djuranović-Miličić (2002)
The Yugoslav Journal of Operations Research
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Convergence analysis of adaptive trust region methods
Zhen-Jun Shi, Xiang-Sun Zhang, Jie Shen (2007)
RAIRO - Operations Research
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In this paper, we propose a new class of adaptive trust region methods for unconstrained optimization problems and develop some convergence properties. In the new algorithms, we use the current iterative information to define a suitable initial trust region radius at each iteration. The initial trust region radius is more reasonable in the sense that the trust region model and the objective function are more consistent at the current iterate. The global convergence, super-linear and...