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Symmetry in semidefinite programs

โœ Scribed by Frank Vallentin


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
148 KB
Volume
430
Category
Article
ISSN
0024-3795

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โœ Madhu V. Nayakkankuppam; Michael L. Overton ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 137 KB
Semidefiniteness without real symmetry
โœ Charles R. Johnson; Robert Reams ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 71 KB

Let A be an n-by-n matrix with real entries. We show that a necessary and sufficient condition for A to have positive semidefinite or negative semidefinite symmetric part Further, if A has positive semidefinite or negative semidefinite symmetric part, and A 2 has positive semidefinite symmetric par