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Computational geometry of positive definiteness

โœ Scribed by Marko Huhtanen; Otto Seiskari

Book ID
113772386
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
440 KB
Volume
437
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Positive definiteness of Hermitian inter
Positive definiteness of Hermitian interval matrices
โœ Junwei Shao; Xiaorong Hou ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

We present a new necessary and sufficient criterion to check the positive definiteness of Hermitian interval matrices. It is shown that an n ร— n Hermitian interval matrix is positive definite if and only if its 4 n-1 (n -1)! specially chosen Hermitian vertex matrices are positive definite.

On Positive Definiteness of Some Functio
On Positive Definiteness of Some Functions
โœ Victor P Zastavnyi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 271 KB

Let \ be a nonnegative homogeneous function on R n . General structure of the set of numerical pairs ($, \*), for which the function (1&\ \* (x)) $ + is positive definite on R n is investigated; a criterion for positive definiteness of this function is given in terms of completely monotonic function