𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Conditions for positive definiteness of M -matrices

✍ Scribed by Ibragimov, Marat

Book ID
118255215
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
451 KB
Volume
48
Category
Article
ISSN
0308-1087

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Positive definiteness of Hermitian inter
Positive definiteness of Hermitian interval matrices
✍ Junwei Shao; Xiaorong Hou πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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 Γ— 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.

Positive definite Hankel matrices of min
Positive definite Hankel matrices of minimal condition
✍ 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.