Difference between revisions of "Interior-point method for LP"
From optimization
(→Introduction) |
(→Introduction) |
||
Line 4: | Line 4: | ||
Date Presented: May 25, 2014 <br> | Date Presented: May 25, 2014 <br> | ||
=Introduction= | =Introduction= | ||
− | Interior point methods are a type of algorithm that are used in solving both linear and nonlinear | + | Interior point methods are a type of algorithm that are used in solving both linear and nonlinear convex optimization problems that contain inequalities as constraints. The LP Interior-Point method relies on having a linear programming model with the objective function and all constraints being continuous and twice continuously differentiable. |
=Uses= | =Uses= |
Revision as of 15:26, 25 May 2014
Authors: John Plaxco, Alex Valdes, Wojciech Stojko. (ChE 345 Spring 2014)
Steward: Dajun Yue, Fengqi You
Date Presented: May 25, 2014
Contents |
Introduction
Interior point methods are a type of algorithm that are used in solving both linear and nonlinear convex optimization problems that contain inequalities as constraints. The LP Interior-Point method relies on having a linear programming model with the objective function and all constraints being continuous and twice continuously differentiable.
Uses
Algorithm
Example
Conclusion
Sources
1. R.J. Vanderbei, Linear Programming: Foundations and Extensions (Chp 17-22). Springer, 2008.
2. J. Nocedal, S. J. Wright, Numerical optimization (Chp 14). Springer, 1999.
3. S. Boyd, L. Vandenberghe, Convex Optimization (Chp 11). Cambridge University Press, 2009