A class of derivative-free trust-region methods with interior backtracking technique for nonlinear optimization problems subject to linear inequality constraints. [PDF]
Gao J, Cao J.
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Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm. [PDF]
Artacho FJA, Campoy R, Vuong PT.
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A generalized class of infeasible-interior-point methods for solving horizontal linear complementarity problem is analyzed and sufficient conditions are given for the convergence of the sequence of iterates produced by methods in this class.
J. Frédéric Bonnans, Florian A. Potra
core
Parameterization of mechanistic models from qualitative data using an efficient optimal scaling approach. [PDF]
Schmiester L, Weindl D, Hasenauer J.
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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
core
High-order methods beyond the classical complexity bounds: inexact high-order proximal-point methods. [PDF]
Ahookhosh M, Nesterov Y.
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Analytic center cutting plane methods for variational inequalities over convex bodies. [PDF]
Zeng R.
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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
An Improved Northern Goshawk Optimization Algorithm for Mural Image Segmentation. [PDF]
Wang J, Bao Z, Dong H.
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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

