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Minimal condition number for positive definite Hankel matrices using semidefinite programming

✍ Scribed by Suliman Al-Homidan; Mohammad M. Alshahrani; Cosmin G. Petra; Florian A. Potra


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
160 KB
Volume
433
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Positive definite Hankel matrices of min
✍ J.M. Varah πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 119 KB

Real positive definite Hankel matrices H n have spectral condition numbers which are exponentially increasing with n. This paper attempts to characterize those matrices Δ€n in this class which are minimally conditioned, and to describe some of their properties. We also compute Δ€n explicitly for n 16.

Geometrical properties of the Frobenius
✍ Jean-Paul Chehab; Marcos Raydan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 132 KB

We study the geometrical properties of the Frobenius condition number on the cone of symmetric and positive definite matrices. This number, related to the cosine of the angle between a given matrix and its inverse, is equivalent to the classical 2-norm condition number, but has a direct and natural