SIAM Journal on control and optimization, Jan 1, 1991
The notion of calmness, which was introduced by Clarke and Rockafellar for constrained optimizati... more The notion of calmness, which was introduced by Clarke and Rockafellar for constrained optimization, is considered. An equivalence to the technique of exact penalization due to Eremin and Zangwill is established. It is then shown that calmness is satisfied on a dense subset of the domain of the optimal value function.
The sequential quadratic programming method developed by Wilson, Han and Powell may fail if the q... more The sequential quadratic programming method developed by Wilson, Han and Powell may fail if the quadratic programming subproblems become infeasible, or if the associated sequence of search directions is unbounded. This paper considers techniques which circumvent these difficulties by modifying the structure of the constraint region in the quadratic programming subproblems. Furthermore, questions concerning the occurrence of an unbounded sequence of multipliers and problem feasibility are also addressed.
SIAM Journal on control and optimization, Jan 1, 1991
The notion of calmness, which was introduced by Clarke and Rockafellar for constrained optimizati... more The notion of calmness, which was introduced by Clarke and Rockafellar for constrained optimization, is considered. An equivalence to the technique of exact penalization due to Eremin and Zangwill is established. It is then shown that calmness is satisfied on a dense subset of the domain of the optimal value function.
The sequential quadratic programming method developed by Wilson, Han and Powell may fail if the q... more The sequential quadratic programming method developed by Wilson, Han and Powell may fail if the quadratic programming subproblems become infeasible, or if the associated sequence of search directions is unbounded. This paper considers techniques which circumvent these difficulties by modifying the structure of the constraint region in the quadratic programming subproblems. Furthermore, questions concerning the occurrence of an unbounded sequence of multipliers and problem feasibility are also addressed.
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Papers by James Burke