Encyclopedia of Machine Learning

2010 Edition
| Editors: Claude Sammut, Geoffrey I. Webb

Positive Semidefinite

Reference work entry
DOI: https://doi.org/10.1007/978-0-387-30164-8_646

Synonyms

Definition

A symmetric m ×m matrix K satisfying ∀xcm : x*Kx ≥ 0 is called positive semidefinite. If the equality only holds for \(x =\vec{ 0}\)

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Copyright information

© Springer Science+Business Media, LLC 2011