primal-dual interior-point method
Adaptive barrier filter-line-search interior point method for optimal power flow with FACTS devices
... line-search method and the feasibility restore phase, are simultaneously introduced in the conventional primal- dual interior point method (IPM) framework to enhance the ...
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Iterative Solution of Large Sparse Linear Systems Arising from Application of Interior Point Method in Computational Geomechanics
... by primal-dual interior point method (IPM) ...this method, a symmetric positive definite (SPD) linear system of equation needs to be ...
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New complexity analysis for primal-dual interior-point methods for self-scaled optimization problems
... This paper is organized as follows. In Section , we introduce our kernel functions, for- mulate the Newton system for the SOP, and present a useful inequality for our proximity function. In Section , we give an ...
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Interior-proximal primal-dual methods
... proximal point methods for a class of saddle point problems, where the preconditioner decouples the overall proximal point method into an al- ternating primal–dual ...
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Generation Fuel Cost Minimization of Power Grid Using Primal Dual Interior Point OPF (Optimal Power Flow) Method
... OPF, to a large extent depends on static optimization method for minimizing a scalar optimization function (e.g., cost). It was first introduced in the 1960s by Tinney and Dommel [3]. It employs first-order ...
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Experiments with the interior-point method for solving large scale optimal power flow problems
... In this section we perform a comparison with the two most efficient alternative available solvers for large scale systems on M atpower Version 4.1 running under Matlab 7.13 [22], namely the Matlab Interior ...
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A Mizuno Todd Ye predictor corrector infeasible interior point method for symmetric optimization with the arc search strategy
... the primal-dual IPM is the most efficient IPM and includes the Mehrotra predictor-corrector (M-PC) algorithm [] and the MTY-PC algorithm [] as two typical ...
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Primal-Dual Active-Set Methods for Convex Quadratic Optimization with Applications
... their method converges superlinearly from any starting point sufficiently close to the ...their method is initialized. For example, consider a starting point obtained by perturbing the optimal ...
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Experiments in Verification of Linear Model Predictive Control: Automatic Generation and Formal Verification of an Interior Point Method Algorithm
... This is the first proof, at code level, of an IPM algorithm. Still the proposed approach is a proof-of-concept and has some identified limitations. First, we worked with real variables to concentrate on runtime errors, ...
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On the relationship of interior point methods
... In this paper, we show that the moving directions of the primal-affine scaling method with logarithmic barrier function, the dual-affine scaling method with logarithmic barrier function,[r] ...
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Kernel function based primal dual interior point methods for convex quadratic optimization over symmetric cone
... small-update method presented in this paper is not efficient from a practical point of view, just as the feasible IPMs with the best theoretical performance are far from ...of primal-dual IPMs ...
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Primal-Dual Path-Following Methods For Nonlinear Programming
... proposed primal-dual path-following aug- mented Lagrangian method (PDAL) is ...This method shares a similar “two-level” structure containing both the outer and inner ...limit point that ...
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Primal dual interior point QP free algorithm for nonlinear constrained optimization
... of primal-point interior method, a primal-dual interior point QP-free algorithm for nonlinear constrained optimization is proposed and ...
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Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications
... stochastic primal-dual algorithm with explicit gradient steps that allows for larger step-sizes by averaging over previous iterates, however, this comes at the cost of prohibitively large memory ...a ...
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DSCOVR: Randomized Primal-Dual Block Coordinate Algorithms for Asynchronous Distributed Optimization
... Machine learning with big data often involves large optimization models. For distributed optimiza- tion over a cluster of machines, frequent communication and synchronization of all model parameters (optimization ...
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Coupled-decompositions: exploiting primal–dual interactions in convex optimization problems
... being primal and dual decompositions the two classical ...our method is useful to design decentralized as well as centralized optimization schemes with advantages over the existing techniques in the ...
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Performance of Three Preconditioners for Image Deblurring Problem in Primal-Dual Formulation
... subspace method. Unfortunately, Krylov subspace method as conjugate gradient (CG) method or minimal residual (MINRES) method are very slow with ill-conditioned lin- ear system of ...saddle ...
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Research Article Design of a Distribution Network Using Primal-Dual Decomposition
... A method to solve the design of a distribution network for bottled drinks company is ...a primal-dual decomposition known as cross decomposition is proposed in this ...the primal and ...
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Optimal Adjustment Algorithm for p Coordinates and The Starting Point in Interior Point Methods
... The new algorithm is not suitable to solve linear pro- gramming problems until achieving optimality. Thus, the idea is to exploit its simplicity and quick initial progress during the early iterations and to use it ...
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DUAL INPUT ONE-WAY AMPLIFIED INTERIOR SPEAKERS
... The Valcom Dual Input One-Way Amplified Interior Speakers may be used to provide one-way paging from one-way or talkback page controls. The speakers provide a means for connecting one speaker to two audio ...
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