Numerical block diagonalization of matrix *-algebras with application to semidefinite programming
de Klerk,E. ; Dobre,C. ; Pasechnik,D.V.
de Klerk,E.
Dobre,C.
Pasechnik,D.V.
Abstract
Semidefinite programming (SDP) is one of the most active areas in mathematical programming, due to varied applications and the availability of interior point algorithms. In this paper we propose a new pre-processing technique for SDP instances that exhibit algebraic symmetry. We present computational results to show that the solution times of certain SDP instances may be greatly reduced via the new approach.
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Date
2011
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Research Projects
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Citation
de Klerk, E, Dobre, C & Pasechnik, D V 2011, 'Numerical block diagonalization of matrix *-algebras with application to semidefinite programming', Mathematical Programming, vol. 129, no. 1, pp. 91-111. < http://www.springerlink.com/content/w75668122047q22h/fulltext.pdf >
