Results 41 to 50 of about 1,159 (105)
A shrinkage-thresholding projection method for sparsest solutions of LCPs
, 2014 In this paper, we study the sparsest solutions of linear complementarity problems (LCPs), which study has many applications, such as bimatrix games and portfolio selections. Mathematically, the underlying model is NP-hard in general.
Meijuan Shang, C. Nie
semanticscholar +1 more source
Open MathematicsIn this article, we work on vector optimization problems in linear topological spaces. Our vector optimization problems have weakened convex inequality constraints and weakened affine equality constraints.
Zeng Renying
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On the Necessity of the Sufficient Conditions in Cone-Constrained Vector Optimization [PDF]
, 2014 The object of investigation in this paper are vector nonlinear programming problems with cone constraints. We introduce the notion of a Fritz John pseudoinvex cone-constrained vector problem.
Ivanov, Vsevolod I.
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Nondifferentiable mathematical programming involving (G,β)-invexity
, 2012 In this paper, we define new vector generalized convexity, namely nondifferentiable vector (Gf,βf)-invexity, for a given locally Lipschitz vector function f.
D. Yuan +3 more
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Global resolution of the support vector machine regression parameters selection problem with LPCC
EURO Journal on Computational Optimization, 2015 Support vector machine regression is a robust data fitting method to minimize the sum of deducted residuals of regression, and thus is less sensitive to changes of data near the regression hyperplane. Two design parameters, the insensitive tube size (εe)
Yu-Ching Lee +2 more
doaj
, 2014 The main purpose of this paper is to study a pair of optimization problems on differentiable manifolds under (p, r)-invexity assumptions. By using the (p, r)-invexity assumptions on the functions involved, optimality conditions and duality results (Mond ...
S. Jana, C. Nahak
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Relaxed η-α quasimonotone and application to the generalized variational-like inequality problem
, 2013 In this paper, some new mappings called relaxed η-α quasimonotone and a relaxed η-α properly quasimonotone operator are first introduced. The relationships between them are obtained.
Qiao-fang Chen, Jie Luo
semanticscholar +1 more source
A new convergence proof for the higher-order power method and generalizations [PDF]
, 2015 A proof for the point-wise convergence of the factors in the higher-order power method for tensors towards a critical point is given. It is obtained by applying established results from the theory of \L{}ojasiewicz inequalities to the equivalent ...
Uschmajew, André
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Presolving linear bilevel optimization problems
EURO Journal on Computational Optimization, 2021 Linear bilevel optimization problems are known to be strongly NP-hard and the computational techniques to solve these problems are often motivated by techniques from single-level mixed-integer optimization.
Thomas Kleinert +3 more
doaj
Interiors of completely positive cones [PDF]
, 2014 A symmetric matrix $A$ is completely positive (CP) if there exists an entrywise nonnegative matrix $B$ such that $A = BB^T$. We characterize the interior of the CP cone.
Fan, Jinyan, Zhou, Anwa
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