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second-order cone

Smoothing sample average approximation method for solving stochastic second order cone complementarity problems

Smoothing sample average approximation method for solving stochastic second order cone complementarity problems

... In fact, many engineering and practical problems, such as the three-dimensional fric- tional contact problems [1] and the robust Nash equilibria [2], can be changed into SOCCP directly. In addition, as the special case ...

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Exact and Explicit Solution Algorithm for Linear Programming Problem with a Second-Order Cone

Exact and Explicit Solution Algorithm for Linear Programming Problem with a Second-Order Cone

... ECOND-ORDER cone programming (SOCP) problem is one of the most important optimization problems with linear and second-order cone ...

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An efficient and reliable steel assembly modelling scheme using second-order cone programming and dual error estimator.

An efficient and reliable steel assembly modelling scheme using second-order cone programming and dual error estimator.

... Abstract. The modelling of steel assemblies under static loading using elastic, elasto-plastic or rigid perfectly plastic material coupled with frictional unilateral contact is discussed within the framework of the ...

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Stochastic Generalized Complementarity Problems in Second-Order Cone: Box-Constrained Minimization Reformulation and Solving Methods

Stochastic Generalized Complementarity Problems in Second-Order Cone: Box-Constrained Minimization Reformulation and Solving Methods

... ized second-order cone complementarity problems play a ba- sic role and occupy an important position in the minimization theory, which have vital applications in many ...the second- ...

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A Second-Order Cone Programming Approach for Robust Downlink Beamforming with Power Control in Cognitive Radio Networks

A Second-Order Cone Programming Approach for Robust Downlink Beamforming with Power Control in Cognitive Radio Networks

... Abstract—The downlink beamforiming technology plays a key role in a cognitive radio network (CR-Net). It can be used to reduce transmission power and interference to other users, etc. This paper presents a robust ...

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Superdirective Beamforming with Interferences and Noise Suppression via Second-Order Cone Programming

Superdirective Beamforming with Interferences and Noise Suppression via Second-Order Cone Programming

... Among those optimization methods for controlling SLL and nulls [15–22], the second-order-cone program (SOCP) methods [18– 22] have attracted considerable attentions. Compared with other optimization ...

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A new model for solving stochastic second order cone complementarity problem and its convergence analysis

A new model for solving stochastic second order cone complementarity problem and its convergence analysis

... stochastic second-order cone complementarity problem ...In order to deal with this problem, we first regard the merit function of the stochastic second-order cone ...

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Blind ICA detection based on second order cone programming for MC CDMA systems

Blind ICA detection based on second order cone programming for MC CDMA systems

... The multicarrier code division multiple access (MC-CDMA) technique has received considerable interest for its potential application to future wireless communication systems due to its high data rate. A common problem ...

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Peak reduction in OFDM using second order cone programming relaxation

Peak reduction in OFDM using second order cone programming relaxation

... frequency-division multiplexing (OFDM) systems. We formulate the problem as an error vector magnitude (EVM) optimization task with constraints on PAPR and free carrier power overhead (FCPO). This problem, which is known ...

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Solving A Fractional Program with Second Order Cone Constraint

Solving A Fractional Program with Second Order Cone Constraint

... Lobo et al. [7] disscused several applications of SOCP in engineering. Nes- terov and Nemirovski [4] and Lobo et al. [7, 8] showed that many kinds of problems can be formulated as SOCPs, such as filter design, truss ...

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An alternative approach for a distance inequality associated with the second order cone and the circular cone

An alternative approach for a distance inequality associated with the second order cone and the circular cone

... between second-order cone and circular cone, some topologi- cal structures play important roles in theoretical analysis for optimization ...a cone facilitates designing algorithms for ...

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Second Order Cone Programming Formulations for Feature Selection

Second Order Cone Programming Formulations for Feature Selection

... feature selection. This leads to a Second Order Cone Programming problem (SOCP). SOCPs are a special class of nonlinear convex optimization problems, which can be efficiently solved by interior point ...

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The models of bilevel programming with lower level second order cone programs

The models of bilevel programming with lower level second order cone programs

... In real world, we often face uncertainty. Uncertainty makes the optimal solution of the deterministic BLP become feasible but not optimal, or infeasible. Robust optimization is an effective method for dealing with the ...

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Second Order Cone Programming Approaches for Handling Missing and Uncertain Data

Second Order Cone Programming Approaches for Handling Missing and Uncertain Data

... novel second order cone programming formulation for designing robust classifiers which can handle uncertainty in ...of second or- der ...

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Calculation of Maximum Total Supply Capacity of Three-Phase Unbalance Distribution Network Based on Mixed Integer Second-Order Cone

Calculation of Maximum Total Supply Capacity of Three-Phase Unbalance Distribution Network Based on Mixed Integer Second-Order Cone

... Model of total supply capability for distribution network based on power flow calculation. Distribution System Planning with Incorporating DG Reactive Capability and[r] ...

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Applications of second-order cone programming

Applications of second-order cone programming

... We discuss a variety of engineering applications, such as filter design, antenna array weight design, truss design, and grasping forte optimization in robotics.. We[r] ...

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Full stability of locally optimal solutions in second-order cone programs

Full stability of locally optimal solutions in second-order cone programs

... strong second-order sufficient optimality condition (SSOSC) characterization of full stability from section 4, we re- cover the characterization of strong regularity for SOCPs established by Bonnans and ...

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Second order nonlinearities in silicon photonics

Second order nonlinearities in silicon photonics

... Higher order effects are also possible, but they require larger applied ...for second- and third-order nonlinearities is ...possess second order nonlinearities ...and ...

232

Anomalous transport in second order hydrodynamics

Anomalous transport in second order hydrodynamics

... studied second order transport e ff ects induced by external electromagnetic fields, vortices and curvature, in a relativistic fluid for a free theory of chiral fermions in (3+1) ...first order in the ...

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Integrity basis for a second order and a fourth order tensor

Integrity basis for a second order and a fourth order tensor

... Theory of algebraic inviants, integry basis under a subgroup, otropic tensor functions, representation- theory irreducible basic and principal invariants of a foh-order tensor, constitut[r] ...

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