The primal-dual interior point method
Global convergence of a primal-dual interior-point method for nonlinear programming
... for primal-dual interior-point methods for nonlinear programming, use assumptions of the boundedness of generated ...a primal-dual interior-point method ...
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A specialized primal-dual interior point method for the plastic truss layout optimization
... purpose primal-dual interior point method tuned to such ...the method uses a warm-start strategy and achieves convergence within fewer interior point ...
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On Generalized Primal-Dual Interior-Point Methods with Non-uniform Complementarity Perturbations for Quadratic Programming
... standard primal-dual interior point method and then provide the complexity result for the non-uniform ...standard primal-dual interior point ...
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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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Index Terms—Convex optimization, distributed control, primal-dual interior-point methods, temperature-aware processor control.
... Processor Speed Control With Thermal Constraints Almir Mutapcic, Stephen Boyd, Fellow, IEEE, Srinivasan Murali, David Atienza, Giovanni De Micheli, Fellow, IEEE, and Rajesh Gupta, Fellow, IEEE Abstract—We consider the ...
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A Primal-Dual Newton Method for Distributed Quadratic Programming
... A Primal-Dual Newton Method for Distributed Quadratic Programming Emil Klintberg, Sebastien Gros Abstract— This paper considers the problem of solving Quadratic Programs (QP) arising in the context ...
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Solving a Class of LP Problems with a Primal-Dual Logarithmic Barrier Method
... First, to apply the HOPDM (higher order primal-dual method cf [I, 2]), which is an efficient implementation of the primal-dual interior point method, for solving large r[r] ...
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Generalized Stationary Points and an Interior Point Method for MPEC
... an Interior Point Method for MPEC Xinwei Liu and Jie Sun Abstract— Mathematical program with equilibrium con- straints (MPEC) has extensive applications in practical ar- eas such as traffic control, ...
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AN INTERIOR-POINT METHOD FOR MPECs BASED ON STRICTLY FEASIBLE RELAXATIONS.
... a primal-dual interior-point method on each relaxed MPEC, and then the relaxation parameter vectors and the barrier parameter are updated ...the interior-point iteration ...
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A Regularized Interior-Point Method for Constrained Linear Least Squares
... as interior-point ...the primal-dual interior-point method can be ...the interior-point method can solve large sparse problems, with a million ...
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Primal-dual interior-point methods with asymmetric barriers
... efficient primal-dual methods when the primal and the dual cones are endowed with independent self-concordant barriers 1) ...asymmetric primal-dual barrier augmented by squared ...
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A robust primal-dual interior-point algorithm for nonlinear programs
... a primal-dual interior-point algorithm for solving optimization problems with nonlinear inequality ...limit point of the sequence generated by the algorithm is a Karush–Kuhn–Tucker ...
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On Coordinated Primal-Dual Interior-Point Methods for Multi-Agent Optimization
... Coordinated Primal-Dual Interior-Point Methods for Multi-Agent Optimization Altu˘g Bitlislio˘glu and Colin ...coordinated primal-dual interior point (PDIP) ...
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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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Primal dual interior point QP free algorithm for nonlinear constrained optimization
... Abstract 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 ...
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A Primal-Dual Augmented Lagrangian Penalty-Interior-Point Algorithm for Nonlinear Programming
... a primal-dual augmented La- grangian approach with an exact ℓ2-penalty is ...Fritz-John point and is maintained by combining the merit function with a filter or piecewise linear penalty ...the ...
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Generation Fuel Cost Minimization of Power Grid Using Primal Dual Interior Point OPF (Optimal Power Flow) Method
... simplex method. Further, this method has a polynomial bound on worst-case running time that is better than the ellipsoid ...simplex method. Karmarkar’s interior point rarely visits too ...
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An infeasible primal–dual interior point algorithm for linear programs based on logarithmic equivalent transformation
... long-step primal–dual path following interior point algorithm is developed, and its global convergence analysis and polynomial- time complexity bound are also ...
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Fast constrained least squares spectral unmixing using primal-dual interior point optimization
... Abstract Hyperspectral data unmixing aims at identifying the components (endmembers) of an observed surface and at determining their fractional abundances inside each pixel area. Assuming that the spectral signatures of ...
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Kernel function based primal dual interior point methods for convex quadratic optimization over symmetric cone
... Keywords: interior-point methods; convex quadratic optimization; kernel function; Euclidean Jordan algebras; large- and small-update methods; polynomial complexity 1 Introduction Since the groundbreaking ...
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