Sufficient conditions for positive definiteness of tridiagonal matrices revisited
✍ Scribed by Milica Anđelić; C. M. da Fonseca
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 111 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1385-1292
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📜 SIMILAR VOLUMES
Real positive definite Hankel matrices H n have spectral condition numbers which are exponentially increasing with n. This paper attempts to characterize those matrices Ĥn in this class which are minimally conditioned, and to describe some of their properties. We also compute Ĥn explicitly for n 16.
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