Quadratic convergence in a primal-dual method

Quadratic convergence in a primal-dual method

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Article ID: iaor1994731
Country: United States
Volume: 18
Issue: 3
Start Page Number: 741
End Page Number: 751
Publication Date: Aug 1993
Journal: Mathematics of Operations Research
Authors:
Abstract:

It is shown that the Mizuno-Todd-Ye equ1 iteration predictor-corrector primal-dual interior-point algorithm for linear programming is quadratically convergent. The present proof does not assume that the problems be nondegenerate. It is not assumed that the iterate generated by the algorithm be convergent, an assumption common to all previous asymptotic convergence analysis.

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