Products of positive forms, linear matrix inequalities, and Hilbert 17th problem for ternary forms
A form p on Rn (homogeneous n-variate polynomial) is called positive semidefinite (p.s.d.) if it is nonnegative on Rn. In other words, the zero vector is a global minimizer of p in this case. The famous 17th conjecture of Hilbert [Bull. Amer. Math. Soc. (N.S.), 37 (4) (2000) 407] (later proven by Ar...
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Main Authors: | Klerk, Etienne de., Pasechnik, Dmitrii V. |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2012
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/95694 http://hdl.handle.net/10220/8271 |
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Institution: | Nanyang Technological University |
Language: | English |
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