Results 51 to 60 of about 80,113 (167)
The Primal-Dual Second-Order Cone Approximations Algorithm for Symmetric Cone Programming [PDF]
Foundations of Computational Mathematics, 2007 Given any open convex cone K, a logarithmically homogeneous, self-concordant barrier for K, and any positive real number r < 1, we associate, with each direction x e K, a second-order cone Kr(x) containing K. We show that K is the interior of the intersection of the second-order cones Kr(x), as x ranges over all directions in K.
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Fast second-order cone programming for safe mission planning [PDF]
2017 IEEE International Conference on Robotics and Automation (ICRA), 2017 This paper considers the problem of safe mission planning of dynamic systems operating under uncertain environments. Much of the prior work on achieving robust and safe control requires solving second-order cone programs (SOCP). Unfortunately, existing general purpose SOCP methods are often infeasible for real-time robotic tasks due to high memory and ...
Zhong, Kai +2 more
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RESOLVENT AVERAGE ON SECOND-ORDER CONE
Taiwanese Journal of Mathematics, 2011 Recently Bauschke et al. introduced a very interesting and new notion of proximal average in the context of convex analysis, and studied this subject systemically in [3-7] from various viewpoints. In addition, this new concept was applied to positive semidefinite matrices under the name of resolvent average, and basic properties of the resolvent ...
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Mathematics, 2018 In this article, a methodology is developed to solve an interval and a fractional interval programming problem by converting into a non-interval form for second order cone constraints, with the objective function and constraints being interval valued ...
Ali Sadeghi +2 more
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Second-Order Cone Relaxations for Binary Quadratic Polynomial Programs [PDF]
SIAM Journal on Optimization, 2011 Several types of relaxations for binary quadratic polynomial programs can be obtained using linear, second-order cone, or semidefinite techniques. In this paper, we propose a general framework to construct conic relaxations for binary quadratic polynomial programs based on polynomial programming.
Ghaddar, B., Vera, J.C., Anjos, M.F.
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Nonsingularity Conditions for FB System of Reformulating Nonlinear Second-Order Cone Programming
Abstract and Applied Analysis, 2013 This paper is a counterpart of Bi et al., 2011. For a locally optimal solution to the nonlinear second-order cone programming (SOCP), specifically, under Robinson’s constraint qualification, we establish the equivalence among the following three ...
Shaohua Pan, Shujun Bi, Jein-Shan Chen
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Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems
Journal of Inequalities and Applications, 2010 We study first- and second-order necessary and sufficient optimality conditions for approximate (weakly, properly) efficient solutions of multiobjective optimization problems. Here, tangent cone, -normal cone, cones of feasible directions, second-order
Lee HeungWingJoseph +2 more
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RSS-Based Cooperative Localization in Wireless Sensor Networks via Second-Order Cone Relaxation
IEEE Access, 2018 In this paper, we consider the received signal strength-based cooperative localization problem in both known and unknown transmit power of target nodes.
Shengming Chang +4 more
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Limit analysis for 3-d structures using second-order cone programming
Ho Chi Minh City Open University Journal of Science - Engineering and Technology, 2014 This paper extends a numerical procedure for limit ananlysis of 3-D structures using node-based smoothed finite element method (NS-FEM) in combination with second-order cone programming (SOCP).
Tran Trung Dung, Le Van Canh
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The cone of Z-transformations on the second order cone
, 2019 In this paper, we describe the structural properties of the cone of $\mathcal{Z}$-transformations on the second order cone in terms of the semidefinite cone and copositive/completely positive cones induced by the second order cone and its boundary.
Németh, Sándor Z. +1 more
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