##### Department of Mathematics,

University of California San Diego

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### Center for Computational Mathematics Seminar

## Philip Gill

#### UCSD

## A Primal-Dual Interior Method for Nonlinear Optimization

##### Abstract:

Interior methods provide an effective approach for the treatment of inequality constraints in nonlinearly constrained optimization. A new primal-dual interior method is proposed that has favorable global convergence properties, yet, under suitable assumptions, is equivalent to the conventional path-following interior method in the neighborhood of a solution. The method may be combined with a primal-dual shifted penalty function for the treatment of equality constraints to provide a method for general optimization problems with a mixture of equality and inequality constraints.

### October 10, 2017

### 11:00 AM

### AP&M 2402

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