@article{burer-monterio-mp03,
	title = {A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization},
	volume = {95},
	issn = {1436-4646},
	url = {https://doi.org/10.1007/s10107-002-0352-8},
	doi = {10.1007/s10107-002-0352-8},
	abstract = {In this paper, we present a nonlinear programming algorithm for solving semidefinite programs ({SDPs}) in standard form. The algorithm's distinguishing feature is a change of variables that replaces the symmetric, positive semidefinite variable X of the {SDP} with a rectangular variable R according to the factorization X={RRT}. The rank of the factorization, i.e., the number of columns of R, is chosen minimally so as to enhance computational speed while maintaining equivalence with the {SDP}. Fundamental results concerning the convergence of the algorithm are derived, and encouraging computational results on some large-scale test problems are also presented.},
	pages = {329--357},
	number = {2},
	journaltitle = {Mathematical Programming},
	shortjournal = {Math. Program., Ser. B},
	author = {Burer, Samuel and Monteiro, Renato D.C.},
	urldate = {2024-08-26},
	date = {2003-02-01},
	langid = {english},
	keywords = {Computational Result, Nonlinear Programming, Programming Algorithm, Standard Form, Test Problem},
	file = {Full Text PDF:/Users/ukreddy/Zotero/storage/RCMEBBLK/Burer and Monteiro - 2003 - A nonlinear programming algorithm for solving semi.pdf:application/pdf},
}

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