On Warm Starts for Interior Methods

On Weighted Linear Least-Squares Problems Related to Interior Methods for Convex Quadratic Programming

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479800372298 ◽

2001 ◽

Vol 23 (1) ◽

pp. 42-56 ◽

Cited By ~ 5

Author(s):

Anders Forsgren ◽

Göran Sporre

Keyword(s):

Quadratic Programming ◽

Least Squares ◽

Convex Quadratic Programming ◽

Linear Least Squares ◽

Least Squares Problems ◽

Interior Methods ◽

Linear Least Squares Problems

Local path-following property of inexact interior methods in nonlinear programming

Computational Optimization and Applications ◽

10.1007/s10589-011-9406-2 ◽

2011 ◽

Vol 52 (1) ◽

pp. 209-238 ◽

Cited By ~ 4

Author(s):

Paul Armand ◽

Joël Benoist ◽

Jean-Pierre Dussault

Keyword(s):

Nonlinear Programming ◽

Path Following ◽

Interior Methods ◽

Local Path

Linear systems arising in interior methods for convex optimization: a symmetric formulation with bounded condition number

Optimization Methods and Software ◽

10.1080/10556788.2021.1965599 ◽

2021 ◽

pp. 1-26

Author(s):

Alexandre Ghannad ◽

Dominique Orban ◽

Michael A. Saunders

Keyword(s):

Convex Optimization ◽

Linear Systems ◽

Condition Number ◽

Interior Methods ◽

Symmetric Formulation

Vehicle Interior Methods for Evaluating the VOC and Odor of Materials

Application of Intelligent Systems in Multi-modal Information Analytics - Advances in Intelligent Systems and Computing ◽

10.1007/978-3-030-15740-1_145 ◽

2019 ◽

pp. 1141-1151

Author(s):

Guangliang Zhong ◽

Haiying Zhao ◽

Tianqi Ren ◽

Changyou Jin ◽

Hua Wang

Keyword(s):

Vehicle Interior ◽

Interior Methods

From global to local convergence of interior methods for nonlinear optimization

Optimization Methods and Software ◽

10.1080/10556788.2012.668905 ◽

2013 ◽

Vol 28 (5) ◽

pp. 1051-1080 ◽

Cited By ~ 11

Author(s):

Paul Armand ◽

Joël Benoist ◽

Dominique Orban

Keyword(s):

Nonlinear Optimization ◽

Local Convergence ◽

Interior Methods

Primal-dual interior methods for biaffine matrix inequality problems in control

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) ◽

10.1109/cdc.1999.832927 ◽

2003 ◽

Author(s):

Joon Hwa Lee

Keyword(s):

Matrix Inequality ◽

Primal Dual ◽

Interior Methods

Iterative Solution of Augmented Systems Arising in Interior Methods

SIAM Journal on Optimization ◽

10.1137/060650210 ◽

2007 ◽

Vol 18 (2) ◽

pp. 666-690 ◽

Cited By ~ 23

Author(s):

Anders Forsgren ◽

Philip E. Gill ◽

Joshua D. Griffin

Keyword(s):

Iterative Solution ◽

Augmented Systems ◽

Interior Methods

A framework for interior methods of linear programming∗

Optimization Methods and Software ◽

10.1080/10556789508805612 ◽

1995 ◽

Vol 5 (3) ◽

pp. 227-234 ◽

Cited By ~ 2

Author(s):

J.L. Nazareth

Keyword(s):

Linear Programming ◽

Interior Methods

Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479894270658 ◽

1996 ◽

Vol 17 (1) ◽

pp. 187-211 ◽

Cited By ~ 36

Author(s):

Anders Forsgren ◽

Philip E. Gill ◽

Joseph R. Shinnerl

Keyword(s):

Constrained Optimization ◽

Interior Methods

A controllable water transfer rate across a tandem carbon nanotube

International Journal of Modern Physics B ◽

10.1142/s0217979219503247 ◽

2019 ◽

Vol 33 (27) ◽

pp. 1950324

Author(s):

Xianwen Meng ◽

Yuan Li ◽

Ling Shen

Keyword(s):

Molecular Dynamics ◽

Carbon Nanotube ◽

Molecular Dynamics Simulations ◽

Transfer Rate ◽

Water Transfer ◽

Water Permeation ◽

Interior Methods ◽

Dynamics Simulations ◽

Carbon Based

Water permeation across a carbon nanotube is important in carbon-based nanodevices. Water transfer rate is closely related to the radius of a carbon nanotube. It is hard to change water transfer rate by interior methods once the radius of the entrance of a carbon nanotube is chosen. In this paper, water transfer across a tandem carbon nanotube with a separation is investigated by molecular dynamics simulations. We find that water transfer rate experiences two different transfer behaviors: an increasing behavior and a decreasing behavior by changing the separation length. The result is important in designing a controllable carbon-based nanodevice.