𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Gershgorin's Theorem and the Zeros of Polynomials

✍ Scribed by Howard E. Bell


Book ID
120550691
Publisher
Mathematical Association of America
Year
1965
Tongue
English
Weight
404 KB
Volume
72
Category
Article
ISSN
0002-9890

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Orthogonal Matrix Polynomials: Zeros and
✍ Antonio J. Duran; Pedro Lopez-Rodriguez πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 730 KB

In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (P n ) n of orthogonal matrix polynomials on the real line with respect to a positive definite matrix of measures. Using these results, we show how to get an orthogonalizing matrix of measures for a

Topics on a generalization of Gershgorin
✍ F.O. Farid πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 933 KB

We construct two classes of 3 Γ— 3 and 4 Γ— 4 real symmetric matrices, and establish sufficient conditions for the spectrum of a matrix A in each class to be disjoint from its kth order Gershgorin region. This provides a partial answer to a question raised by Newman and Thompson. The problem of provid

The Zeros of Lommel's Polynomials
✍ Watson, G. N. πŸ“‚ Article πŸ“… 1921 πŸ› Oxford University Press 🌐 English βš– 209 KB