# An exact penalty function for semi-infinite programming

@article{Conn1987AnEP, title={An exact penalty function for semi-infinite programming}, author={Andrew R. Conn and Nicholas I. M. Gould}, journal={Mathematical Programming}, year={1987}, volume={37}, pages={19-40} }

- Published in Math. Program. 1987
DOI:10.1007/BF02591681

This paper introduces a global approach to the semi-infinite programming problem that is based upon a generalisation of the ℓ1 exact penalty function. The advantages are that the ensuing penalty function is exact and the penalties include all violations. The merit function requires integrals for the penalties, which provides a consistent model for the algorithm. The discretization is a result of the approximate quadrature rather than an a priori aspect of the model.

#### Topics from this paper.

#### Citations

##### Publications citing this paper.

SHOWING 1-9 OF 9 CITATIONS

## Optimality Conditions for Semi-infinite and Generalized Semi-infinite Programs via l p Exact Penalty Functions

VIEW 1 EXCERPT

CITES BACKGROUND

## Semismooth Newton Methods for Solving Semi-Infinite Programming Problems

VIEW 2 EXCERPTS

CITES METHODS

## Noise considerations in circuit optimization

VIEW 1 EXCERPT

CITES BACKGROUND

## Numerical experiments in semi-infinite programming

VIEW 1 EXCERPT

CITES BACKGROUND

## Worst-Case Scheduled Controller Design for Nonlinear Systems

VIEW 1 EXCERPT

CITES METHODS

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 20 REFERENCES

## A note on the computation of an orthonormal basis for the null space of a matrix

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## An Exact Potential Method for Constrained Maxima

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Kortanek, eds., Semi-Infinite Programming and Applications, Lecture notes in economics and mathematical systems

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## SEMI-INFINITE PROGRAMMING DUALITY: HOW SPECIAL IS IT?

VIEW 2 EXCERPTS

## Constrained Optimization and Lagrange Multiplier Methods

VIEW 1 EXCERPT

## Globally convergent methods for semi-infinite programming

VIEW 2 EXCERPTS