Results 11 to 20 of about 13,831 (172)
New Exact Penalty Functions for Nonlinear Constrained Optimization Problems [PDF]
Abstract and Applied Analysis, 2014 For two kinds of nonlinear constrained optimization problems, we propose two simple penalty functions, respectively, by augmenting the dimension of the primal problem with a variable that controls the weight of the penalty terms.
Bingzhuang Liu, Wenling Zhao
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Smoothing Approximation to the Square-Order Exact Penalty Functions for Constrained Optimization [PDF]
Journal of Applied Mathematics, 2013 A method is proposed to smooth the square-order exact penalty function for inequality constrained optimization. It is shown that, under some conditions, an approximately optimal solution of the original problem can be obtained by searching an ...
Shujun Lian, Jinli Han
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Exact Penalty Functions for Nonlinear Integer Programming Problems [PDF]
Journal of Optimization Theory and Applications, 2010 The authors first find a set of sufficient conditions under which the nonlinear problem \(\min \{ f(x) \, : \, x\in W \}\) has the same minimum point(s) as each member of the family \(\min \{ f(x)+\phi (x, \varepsilon) \, : \, x\in X ...
LUCIDI, Stefano, RINALDI, FRANCESCO
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Beyond ℓ1 sparse coding in V1.
PLoS Computational Biology, 2023 Growing evidence indicates that only a sparse subset from a pool of sensory neurons is active for the encoding of visual stimuli at any instant in time.
Ilias Rentzeperis +3 more
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Scientific Reports, 2023 The paper presents a posteriori error approximation concept based on residuals in the two-dimensional discontinuous Galerkin (DG) method. The approach is relatively simple and effective in application, and it takes advantage of some unique properties of ...
Jan Jaśkowiec, Jerzy Pamin
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A nonmonotone line search method for solving constrained multiobjective optimization problems [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this paper, we propose a globally convergent Sequential Quadratic Programming (SQP) method for solving constrained multiobjective optimization problems (MOPs) with inequality constraints.
Mehri Rashidi, Esmaile Khorram
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, 1994 . Exact penalty methods for the solution of constrained optimization problems are based on the construction of a function whose unconstrained minimizing points are also solution of the constrained problem.
DI PILLO, Gianni, G. Pillo, G. Di Pillo
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On the Convergence of a Smooth Penalty Algorithm without Computing Global Solutions
Journal of Applied Mathematics, 2012 We consider a smooth penalty algorithm to solve nonconvex optimization problem based on a family of smooth functions that approximate the usual exact penalty function.
Bingzhuang Liu +2 more
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New boundary treatment for seepage flow problem based on numerical manifold method
Yantu gongcheng xuebao, 2017 Since the shape functions derived from the partition of unity-based meshless method, such as the element-free Galerkin method, are free of the Kronecker delta property, there are great troubles in the exact imposition of the essential boundary condition ...
LI Wei 1,2, ZHENG Hong 1,2,3
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Penalty functions with a small penalty parameter [PDF]
, 2002 In this article, we study the nonlinear penalization of a constrained optimization problem and show that the least exact penalty parameter of an equivalent parametric optimization problem can be diminished.
Rubinov, AM +5 more
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