Matching-based preprocessing algorithms to the solution of saddle-point problems in large-scale nonconvex interior-point optimization

O Schenk, A Wächter, M Hagemann - Computational Optimization and …, 2007 - Springer
Interior-point methods are among the most efficient approaches for solving large-scale
nonlinear programming problems. At the core of these methods, highly ill-conditioned …

Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems

HS Dollar, NIM Gould, WHA Schilders… - SIAM Journal on Matrix …, 2006 - SIAM
We consider conjugate-gradient like methods for solving block symmetric indefinite linear
systems that arise from saddle-point problems or, in particular, regularizations thereof. Such …

Iterative solution of augmented systems arising in interior methods

A Forsgren, PE Gill, JD Griffin - SIAM Journal on Optimization, 2007 - SIAM
Iterative methods are proposed for certain augmented systems of linear equations that arise
in interior methods for general nonlinear optimization. Interior methods define a sequence of …

Stopping criteria for inner iterations in inexact potential reduction methods: a computational study

S Cafieri, M D'Apuzzo, V De Simone… - Computational …, 2007 - Springer
We focus on the use of adaptive stopping criteria in iterative methods for KKT systems that
arise in Potential Reduction methods for quadratic programming. The aim of these criteria is …

[图书][B] Preconditioning for linear systems

G Mele, E Ringh, D Ek, F Izzo, P Upadhyaya… - 2020 - diva-portal.org
Preconditioning for linear systems Page 1 PRECONDITIONING FOR LINEAR SYSTEMS
Giampaolo Mele Emil Ringh David Ek Federico Izzo Parikshit Upadhyaya Elias Jarlebring Page …

On implicit-factorization constraint preconditioners

HS Dollar, NIM Gould, AJ Wathen - Large-scale nonlinear optimization, 2006 - Springer
Summary Recently Dollar and Wathen [14] proposed a class of incomplete factorizations for
saddle-point problems, based upon earlier work by Schilders [40]. In this paper, we …

[PDF][PDF] C interfaces to GALAHAD ULS

J Fowkes, N Gould - Sat, 2022 - galahad.rl.ac.uk
C interfaces to GALAHAD NLS Page 1 C interfaces to GALAHAD NLS Jari Fowkes and Nick
Gould STFC Rutherford Appleton Laboratory Sat Mar 26 2022 Page 2 Page 3 i 1 GALAHAD …

Modellazione Numerica del Comportamento Meccanico delle Faglie Regionale per il Confinamento Geologico della CO2 Antropica

C Janna - 2008 - research.unipd.it
La variazione di pressione indotta dall'iniezione di CO2 in formazioni geologiche, con la
conseguente perturbazione dello stato tensionale, puo causare l'attivazione di faglie …