Second order sufficient conditions for optimizing with equality constraints

  • Authors:
  • J. B. Hughes

  • Affiliations:
  • School of Mathematics University College of North Wales Dean Street, Bangor, Gwynedd, UK, LL571UT

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1991

Quantified Score

Hi-index 0.98

Visualization

Abstract

The paper establishes the equivalence to second order of the Jacobean (constrained gradient) and the Lagrangean approaches to optimizing a function subject to equality constraints. The second order equivalence does not seem to have been considered previously. It is established using a new second order sufficiency condition which has computational advantages over the other two.