A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs [PDF]
Sahand Communications in Mathematical Analysis, 2019 An infeasible interior-point algorithm for mixed symmetric cone linear complementarity problems is proposed. Using the machinery of Euclidean Jordan algebras and Nesterov-Todd search direction, the convergence analysis of the algorithm is shown and ...
Ali Nakhaei Amroudi +2 more
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Optimal Correction of Infeasible Systems in the Second Order Conic Linear Setting [PDF]
Computer Science Journal of Moldova, 2011 In this paper we consider correcting infeasibility in a second order conic linear inequality by minimal changes in the problem data. Under certain conditions, it is proved that the minimal correction can be done by solving a lower dimensional convex ...
Maziar Salahi
doaj
On the stationary Cahn-Hilliard equation: Interior spike solutions [PDF]
, 1998 We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such ...
Wei, J, Winter, M
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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
openaire +5 more sources
New complexity analysis of full Nesterov-Todd step infeasible interior point method for second-order cone optimization [PDF]
Yugoslav Journal of Operations Research, 2018 We present a full Nesterov-Todd (NT) step infeasible interior-point algorithm for second-order cone optimization based on a different way to calculate feasibility direction. In each iteration of the algorithm we use the largest possible barrier parameter
Kheirfam Behrouz
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Interior point methods : current status and future directions [PDF]
, 1996 Cover title.Includes bibliographical references (leaves 23-24).Robert Freund and Shinji ...
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An infeasible interior point methods for convex quadratic problems
Journal of Numerical Analysis and Approximation Theory, 2018 In this paper, we deal with the study and implementation of an infeasible interior point method for convex quadratic problems (CQP). The algorithm uses a Newton step and suitable proximity measure for approximately tracing the central path and ...
Hayet Roumili, Nawel Boudjellal
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Interior Point Methods for Massive Support Vector Machines [PDF]
, 2000 We investigate the use of interior point methods for solving quadratic programming problems with a small number of linear constraints where the quadratic term consists of a low-rank update to a positive semi-de nite matrix. Several formulations of the
Ferris, Michael, Munson, Todd
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Matrix Scaling and Balancing via Box Constrained Newton's Method and Interior Point Methods
, 2017 In this paper, we study matrix scaling and balancing, which are fundamental problems in scientific computing, with a long line of work on them that dates back to the 1960s.
Cohen, Michael B. +3 more
core +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source