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Interior point methods 25 years later
J Gondzio - European Journal of Operational Research, 2012 - Elsevier
Interior point methods for optimization have been around for more than 25 years now. Their
presence has shaken up the field of optimization. Interior point methods for linear and …
presence has shaken up the field of optimization. Interior point methods for linear and …
Convergence analysis of an inexact feasible interior point method for convex quadratic programming
J Gondzio - SIAM Journal on Optimization, 2013 - SIAM
In this paper we will discuss two variants of an inexact feasible interior point algorithm for
convex quadratic programming. We will consider two different neighborhoods: a small one …
convex quadratic programming. We will consider two different neighborhoods: a small one …
Sparse approximations with interior point methods
Large-scale optimization problems that seek sparse solutions have become ubiquitous.
They are routinely solved with various specialized first-order methods. Although such …
They are routinely solved with various specialized first-order methods. Although such …
On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods
M D'Apuzzo, V De Simone, D Di Serafino - … Optimization and Applications, 2010 - Springer
The solution of KKT systems is ubiquitous in optimization methods and often dominates the
computation time, especially when large-scale problems are considered. Thus, the effective …
computation time, especially when large-scale problems are considered. Thus, the effective …
A new stop** criterion for Krylov solvers applied in interior point methods
When an iterative method is applied to solve the linear equation system in interior point
methods (IPMs), the attention is usually placed on accelerating their convergence by …
methods (IPMs), the attention is usually placed on accelerating their convergence by …
Updating constraint preconditioners for KKT systems in quadratic programming via low-rank corrections
This work focuses on the iterative solution of sequences of KKT linear systems arising in
interior point methods applied to large convex quadratic programming problems. This task is …
interior point methods applied to large convex quadratic programming problems. This task is …
Inexact log-domain interior-point methods for quadratic programming
This paper introduces a framework for implementing log-domain interior-point methods
(LDIPMs) using inexact Newton steps. A generalized inexact iteration scheme is established …
(LDIPMs) using inexact Newton steps. A generalized inexact iteration scheme is established …
BFGS‐like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming
L Bergamaschi, V De Simone… - … Linear Algebra with …, 2018 - Wiley Online Library
We focus on efficient preconditioning techniques for sequences of Karush‐Kuhn‐Tucker
(KKT) linear systems arising from the interior point (IP) solution of large convex quadratic …
(KKT) linear systems arising from the interior point (IP) solution of large convex quadratic …
Reproducing dynamics related to an Internet of Things framework: A numerical and statistical approach
Abstract In the Cultural Heritage domain, novel fruition and enjoyment approaches, based
on Internet of Things (IoT) paradigm, have the effect to change the way people experiencing …
on Internet of Things (IoT) paradigm, have the effect to change the way people experiencing …
Semi-supervised generalized eigenvalues classification
Supervised classification is one of the most powerful techniques to analyze data, when a-
priori information is available on the membership of data samples to classes. Since the …
priori information is available on the membership of data samples to classes. Since the …