Results 21 to 30 of about 970,162 (282)
On the relationship of interior-point methods
International Journal of Mathematics and Mathematical Sciences, 1993 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), and the primal-dual interior point method are merely the Newton
Ruey-Lin Sheu, Shu-Cherng Fang
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Convergence Analysis of an Inexact Feasible Interior Point Method for Convex Quadratic Programming [PDF]
, 2012 In this paper we will discuss two variants of an inexact feasible interior point algorithm for convex quadratic programming. We will consider two different neighbourhoods: a (small) one induced by the use of the Euclidean norm which yields a short-step ...
Andersen E. D., Jacek Gondzio
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A predictor-corrector path-following algorithm for symmetric optimization based on Darvay's technique [PDF]
Yugoslav Journal of Operations Research, 2014 In this paper, we present a predictor-corrector path-following interior-point algorithm for symmetric cone optimization based on Darvay's technique.
Kheirfam Behrouz
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On the Stationary Cahn-Hilliard Equation: Bubble Solutions [PDF]
, 1998 We study stationary solutions of the Cahn--Hilliard equation in a bounded smooth domain which have an interior spherical interface (bubbles). We show that a large class of interior points (the ``nondegenerate peak'' points) have the following ...
Wei, J, Winter, M
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On Implementing a Two-Step Interior Point Method for Solving Linear Programs
AlgorithmsA new two-step interior point method for solving linear programs is presented. The technique uses a convex combination of the auxiliary and central points to compute the search direction.
Sajad Fathi Hafshejani +2 more
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Homotopy Interior-Point Method for a General Multiobjective Programming Problem
Journal of Applied Mathematics, 2012 We present a combined homotopy interior-point method for a general multiobjective programming problem. For solving the KKT points of the multiobjective programming problem, the homotopy equation is constructed. We prove the existence and convergence of a
X. Zhao, S. G. Zhang, Q. H. Liu
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A Multi-Objective Optimization Framework for Joint Inversion
AIMS Geosciences, 2016 Different geophysical data sets such as receiver functions, surface wave dispersion measurements, and first arrival travel times, provide complementary information about the Earth structure.
Aaron A. Velasco +2 more
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Distributed Interior-point Method for Loosely Coupled Problems
, 2013 In this paper, we put forth distributed algorithms for solving loosely coupled unconstrained and constrained optimization problems. Such problems are usually solved using algorithms that are based on a combination of decomposition and first order methods.
Andersen, Martin S. +2 more
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Sparse Approximations with Interior Point Methods
SIAM Review, 2022 Large-scale optimization problems that seek sparse solutions have become ubiquitous. They are routinely solved with various specialized first-order methods. Although such methods are often fast, they usually struggle with not-so-well conditioned problems.
Valentina De Simone +4 more
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Noise-Based Frequency Spectrum Correction Method Using Interior Point Approach
IEEE AccessThe spectral correction of noisy real sinusoidal signals is of critical importance; however, the presence of spectral leakage and noise introduces significant challenges.
Guichun Yang +6 more
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