Interior Point Methods
Interior Point Methods Applied to the Predispatch Problem of a Hydroelectric System with Scheduled Line Manipulations
... network are known in advance. Thus, the matrices asso- ciated with the problem can be analyzed and decomposed before the interior-point methods are applied. An identi- cal approach has been taken by ...
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Kernel function based primal dual interior point methods for convex quadratic optimization over symmetric cone
... various interior-point methods (IPMs) for linear optimization (LO) and a large amount of results have been reported ...large-update methods for LO was improved from O(n log n ε ) to O( √ n ...
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New complexity analysis of interior point methods for the Cartesian P∗(κ) SCLCP
... determining the search directions and for measuring the distance between the given iterate and the μ -center for the algorithm. The symmetry of the resulting search directions is forced by using the Nesterov-Todd scaling ...
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INTERIOR-POINT METHODS FOR $P_{*}(\kappa)$-LINEAR COMPLEMENTARITY PROBLEM BASED ON GENERALIZED TRIGONOMETRIC BARRIER FUNCTION
... Abstract: Recently, M. Bouafoa, et al. [3] investigated a new kernel function which differs from the self-regular kernel functions. The kernel function has a trigonometric Barrier Term. In this paper we generalize the ...
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Kernel function based interior point methods for horizontal linear complementarity problems
... an interior-point ...define interior-point methods (IPMs) based on these functions whose barrier term is exponential power of exponential functions for P ∗ ( κ )-horizontal linear ...
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Active-set prediction for interior point methods using controlled perturbations
... Abstract We propose the use of controlled perturbations to address the challeng- ing question of optimal active-set prediction for interior point methods. Namely, in the context of linear ...
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Optimal Adjustment Algorithm for p Coordinates and The Starting Point in Interior Point Methods
... the interior point method, few iterations of this generalized algorithm are applied to the Mehrotra’s heuristic, which de- termines the starting point for the interior point method in ...
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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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Summer course on Convex Optimization. Fifth Lecture Interior-Point Methods (1) Michel Baes, K.U.Leuven Bharath Rangarajan, U.
... Nesterov, Introductory lectures on convex opti- mization: a basic course, Kluwer, 2003. [2] - Y[r] ...
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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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An Interior-Point Method for Large-Scale l1-Regularized Logistic Regression
... our interior-point method that can handle very large prob- lems, provided the data matrix A is sparse, at the cost of having a run time that is less ...Newton methods have been applied to ...
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Large update interior point algorithm for P∗ linear complementarity problem
... of interior point methods (IPMs) based on self-regular barrier functions and achieved so far the best known complexity for large- update methods with a specific self-regular barrier ...
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An Improved Affine Scaling Interior Point Algorithm for Linear Programming
... of interior point meth- ...suggests, interior point methods approach an optimal point (which is known to be on the boundary of the feasible set) through a sequence of ...
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Parallel Interior Point Solver for Structured Quadratic Programs: Application to Financial Planning Problems
... exploiting interior-point solver to tackle the convex quadratic programs ...of interior point methods (IPMs) is a consistent small number of iterations needed to reach the optimal ...
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Primal dual interior point QP free algorithm for nonlinear constrained optimization
... In this paper, a class of nonlinear constrained optimization problems with both inequality and equality constraints is discussed. Based on a simple and effective penalty parameter and the idea of primal-dual ...
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A New Full NT Step Infeasible Interior Point Algorithm for SDP Based on a Specific Kernel Function
... of Interior-Point Methods (IPMs) based on the kernel functions becomes more desirable because of the efficiency from a computational point of ...These methods use the new search ...
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On complexity of a new Mehrotra type interior point algorithm for \(P {*}(\kappa )\) linear complementarity problems
... practical interior point methods for linear program- ming, quadratic programming and LCPs, variants of which have become backbones of several optimization software packages [11, ...primal–dual ...
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Interior-proximal primal-dual methods
... We now study convergence rates for the central path, which we will need to develop approxi- mate strong monotonicity estimates. Some existing work can be found in [31], but overall the results in the literature are ...
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Natural preconditioning and iterative methods for saddle point systems
... saddle point system ...element methods, it is equally applicable in discrete settings such as optimization where it is related to the linear independence of the constraint ...saddle point problem, to ...
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Adaptive barrier filter-line-search interior point method for optimal power flow with FACTS devices
... 0.001 in each step are presented in Fig. 6. This figure shows that ABFLS algorithm is able to solve all the problems while PC and MCC fail at some problems. Particularly, for , both PC and MCC fail whereas ABFLS ...
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