Gershgorin's Theorem and the Zeros of Polynomials
β 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
- DOI
- 10.2307/2313703
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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