Numerical block diagonalization of matrix - algebras with application to semidefinite programming

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 newpre-processing technique for SDP insta...

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Main Authors: Klerk, Etienne de., Dobre, Cristian., Pasechnik, Dmitrii V.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/94308
http://hdl.handle.net/10220/7620
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-943082023-02-28T19:39:04Z Numerical block diagonalization of matrix - algebras with application to semidefinite programming Klerk, Etienne de. Dobre, Cristian. Pasechnik, Dmitrii V. School of Physical and Mathematical Sciences DRNTU::Science::Mathematics 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 newpre-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. Published version 2012-03-08T07:20:06Z 2019-12-06T18:53:55Z 2012-03-08T07:20:06Z 2019-12-06T18:53:55Z 2011 2011 Journal Article Klerk, E. d., Dobre, C. & Pasechnik D. V. (2011) Numerical block diagonalization of matrix -algebras with application to semidefinite programming. Mathematical programming, 129, 91-111. https://hdl.handle.net/10356/94308 http://hdl.handle.net/10220/7620 10.1007/s10107-011-0461-3 en Mathematical programming © 2011 The Author(s). 21 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Klerk, Etienne de.
Dobre, Cristian.
Pasechnik, Dmitrii V.
Numerical block diagonalization of matrix - algebras with application to semidefinite programming
description 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 newpre-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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Klerk, Etienne de.
Dobre, Cristian.
Pasechnik, Dmitrii V.
format Article
author Klerk, Etienne de.
Dobre, Cristian.
Pasechnik, Dmitrii V.
author_sort Klerk, Etienne de.
title Numerical block diagonalization of matrix - algebras with application to semidefinite programming
title_short Numerical block diagonalization of matrix - algebras with application to semidefinite programming
title_full Numerical block diagonalization of matrix - algebras with application to semidefinite programming
title_fullStr Numerical block diagonalization of matrix - algebras with application to semidefinite programming
title_full_unstemmed Numerical block diagonalization of matrix - algebras with application to semidefinite programming
title_sort numerical block diagonalization of matrix - algebras with application to semidefinite programming
publishDate 2012
url https://hdl.handle.net/10356/94308
http://hdl.handle.net/10220/7620
_version_ 1759855920028844032