Affine scaling algorithm fails for semidefinite programming

Affine scaling algorithm fails for semidefinite programming

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Article ID: iaor20001077
Country: Netherlands
Volume: 83
Issue: 3
Start Page Number: 393
End Page Number: 406
Publication Date: Nov 1998
Journal: Mathematical Programming
Authors:
Abstract:

In this paper, we introduce an affine scaling algorithm for semidefinite programming (SDP), and give an example of a semidefinite program such that the affine scaling algorithm converges to a non-optimal point. Both our program and its dual have interior feasible solutions and unique optimal solutions which satisfy strict complementarity, and they are non-degenerate everywhere.

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