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Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Struc...

Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Struc...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_920354732

Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity

About this item

Full title

Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity

Publisher

Philadelphia: Society for Industrial and Applied Mathematics

Journal title

SIAM journal on optimization, 2006-01, Vol.17 (1), p.218-242

Language

English

Formats

Publication information

Publisher

Philadelphia: Society for Industrial and Applied Mathematics

More information

Scope and Contents

Contents

Unconstrained and inequality constrained sparse polynomial optimization problems (POPs) are considered. A correlative sparsity pattern graph is defined to find a certain sparse structure in the objective and constraint polynomials of a POP. Based on this graph, sets of the supports for sums of squares (SOS) polynomials that lead to efficient SOS an...

Alternative Titles

Full title

Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_920354732

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_920354732

Other Identifiers

ISSN

1052-6234

E-ISSN

1095-7189

DOI

10.1137/050623802

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