Real Even Symmetric Ternary Forms

✍ Scribed by William R. Harris

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 293 KB
• Volume: 222
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1998.8012

✦ Synopsis

Let S e n m denote the set of all real symmetric forms of degree m = 2d. Let PS e n m

and S e n m denote the cones of positive semidefinite (psd) and sum of squares (sos) elements of S e n m , respectively. For m = 2 or 4, these cones coincide. For m = 6, they do not, and were analyzed in Even Symmetric Sextics, by M. D. Choi, T. Y.