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Minimax solution of a nonlinear system of mixed equalities and inequalities

Technical Report ·
OSTI ID:5398556

A modification of a quadratic algorithm for solving a nonlinear system of mixed equalities and inequalities is proposed. Under suitable conditions, the modified algorithm always generates a local minimum of a function that represents the maximum violation of any equality of inequality of the system. A superlinear rate of convergence is achieved, when the maximum violation is null. Neither convexity nor constraint qualifications are required.

Research Organization:
Argonne National Lab., IL (USA)
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
5398556
Report Number(s):
ANL/MCS-TM-10; ON: DE84003870
Country of Publication:
United States
Language:
English