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Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 493950
Title Mathematical properties of the regular *-representation of matrix *-algebras with applications to semidefinite programming
Author(s) Dobre, C.
Source Numerical Algebra, Control and Optimization 3 (2013)2. - ISSN 2155-3289 - p. 367 - 378.
DOI https://doi.org/10.3934/naco.2013.3.367
Department(s) Mathematical and Statistical Methods - Biometris
PE&RC
Publication type Refereed Article in a scientific journal
Publication year 2013
Abstract In this paper we give a proof for the special structure of the Wedderburn decomposition of the regular *-representation of a given matrix *-algebra. This result was stated without proof in: de Klerk, E., Dobre, C. and Pasechnik, D.V.: Numerical block diagonalization of matrix *-algebras with application to semidefinite programming, Mathematical Programming-B, 129 (2011), 91--111; and is used in applications of semidefinite programming (SDP) for structured combinatorial optimization problems. In order to provide the proof for this special structure we derive several other mathematical properties of the regular *-representation.
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