Hessian Counterpart of the Bordered Hessian Second-Order Condition

Eric Iksoon Im
College of Business and Economics
University of Hawaii at Hilo

Tam Bang Vu
College of Business and Economics
University of Hawaii at Hilo

Abstract

We show that the second-order sufficient conditions for strict local optima in both constrained and unconstrained optimization problems can be restated solely in terms of the Hessian matrix. In the Hessian approach, the second-order sufficient conditions crucially depends on the rank of Hessian Matrix, therefore simpler in practical applications.

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