Solving Semidefinite Programs via Nonlinear ... - Semantic Scholar

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In this paper, we introduce a transformation that converts a class of linear and non- linear semidefinite programming (SDP) problems into nonlinear optimization ...
Solving Semidefinite Programs via Nonlinear Programming Part I: Transformations and Derivatives∗ Samuel Burer†

Renato D.C. Monteiro‡

Yin Zhang§

September, 1999 (Revised December, 1999)

Abstract In this paper, we introduce a transformation that converts a class of linear and nonlinear semidefinite programming (SDP) problems into nonlinear optimization problems over “orthants” of the form

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