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Title: 

A Unified Theorem on SDP Rank Reduction

Authors: Man-Cho So, Anthony
Ye, Yinyu
Zhang, Jiawei
Issue Date: 19-Nov-2006
Publisher: Stern School of Business, New York University
Series/Report no.: OM-2007-02
Abstract: We consider the problem of finding a low{rank approximate solution to a system of linear equations in symmetric, positive semidefinite matrices. Specifically, let A1; : : : ;Am 2 Rn£n symmetric, positive semidefinite matrices, and let b1; : : : ; bm ¸ 0. We show that if there exists a symmetric, positive semidefinite matrix X to the following system of equations:
URI: http://hdl.handle.net/2451/26276
Appears in Collections:IOMS: Operations Management Working Papers

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