Steering exact penalty DCA for nonsmooth DC optimization problems with equality and inequality constraints [PDF]
, 2023 We propose and study a version of the DCA (Difference-of-Convex functions Algorithm) using the $\ell_1$ penalty function for solving nonsmooth DC optimization problems with nonsmooth DC equality and inequality constraints.
Dolgopolik, M. V.
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Variational Methods for Nonsmooth Mechanics [PDF]
, 2003 In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
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Lateral fligh control design for a highly flexible aircraft using a nonsmooth method [PDF]
, 2009 This paper describes a nonsmooth optimization technique for designing a lateral flight control law for a highly flexible aircraft. Flexible modes and high-dimensional models pose a major challenge to modern control design tools.
H. D. Tuan +7 more
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Optimizing condition numbers [PDF]
, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Maréchal, Pierre, Ye, Jane
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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Exact l$_1$ penalty function for nonsmooth multiobjective interval-valued problems [PDF]
summary:Our objective in this article is to explore the idea of an unconstrained problem using the exact l$_1$ penalty function for the nonsmooth multiobjective interval-valued problem (MIVP) having inequality and equality constraints.
Prasad, Ashish Kumar, Khatri, Julie
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Sensor-based motion planning via nonsmooth analysis [PDF]
, 2002 In this thesis we present a novel approach to sensor-based motion planning developed using the mathematical tools provided by the field of nonsmooth analysis.
Rusaw, Shawn., Rusaw, Shawn
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A Filled Function Approach for Nonsmooth Constrained Global Optimization [PDF]
, 2010 A novel filled function is given in this paper to find a global minima for a nonsmooth constrained optimization problem. First, a modified concept of the filled function for nonsmooth constrained global optimization is introduced, and a filled function ...
Weixiang Wang, Youlin Shang, Ying Zhang
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Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
A Nonconvex Proximal Bundle Method for Nonsmooth Constrained Optimization
ComplexityAn implementable algorithm for solving nonsmooth nonconvex constrained optimization is proposed by combining bundle ideas, proximity control, and the exact penalty function.
Jie Shen, Fang-Fang Guo, Na Xu
doaj +1 more source