APPROACHES TO ITERATIVE ALGORITHMS FOR SOLVING NONLINEAR EQUATIONS WITH AN APPLICATION IN TOMOGRAPHIC ABSORPTION SPECTROSCOPY. [PDF]
Aragón-Artacho FJ +5 more
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A tensor trust-region model for nonlinear system. [PDF]
Wang S, Liu S.
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Improved interval methods for solving circle packing problems in the unit square. [PDF]
Markót MC.
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Global search based on efficient diagonal partitions and a set of Lipschitz constants
. In the paper, the global optimization problem of a multidimensional “black-box” function satisfying the Lipschitz condition over a hyperinterval with an unknown Lipschitz constant is considered.
Yaroslav D. Sergeyev, Dmitri, E. Kvasov
core
Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints. [PDF]
Boţ RI, Nguyen DK, Zong C.
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Monotonicity Of Primal And Dual Objective Values In Primal-Dual Interior-Point Algorithms
. We study monotonicity of primal and dual objective values in the framework of primal-dual interior-point methods. The primal-dual affine-scaling algorithm is monotone in both objectives.
Michael J. Todd, Shinji Mizuno
core
CONVERGENCE ANALYSIS OF THE ITERATIVE METHODS FOR QUASI COMPLEMENTARITY PROBLEMS
. In this paper, we consider the iterative methods for the quasi complemen-tar Lt problems of the orm u-m(u)>0, T { u))0, u-m(u), T ( u=0, where m is a point-to-point mapping and T is a continuous mapping from R n into itself.
Muhammad Aslam Noor
core
Second Order Dynamics Featuring Tikhonov Regularization and Time Scaling. [PDF]
Csetnek ER, Karapetyants MA.
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A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces. [PDF]
Chang SS, Yao JC, Wen CF, Wang L.
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A Global Optimality Criterion for Nonconvex Quadratic Programming over a Simplex
In this paper we propose a global optimality criterion for globally minimizing a quadratic form over the standard simplex, which in addition provides a sharp lower bound for the optimal value.
Ivo Nowak
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