We show that the inertia of a quadratic matrix polynomial is determined in terms of the inertia of its coefficient matrices if the leading coefficient is Hermitian and nonsingular, the constant term is Hermitian, and the real part of the coefficient matrix of the first degree term is definite. In pa
✦ LIBER ✦
A generalized Cayley–Hamilton theorem for polynomials with matrix coefficients
✍ Scribed by Suk-Geun Hwang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 134 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A generalization of the inertia theorem
✍
Bülent Bilir; Carmen Chicone
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 663 KB
Relative Asymptotics for Orthogonal Matr
✍
Hossain O Yakhlef; Francisco Marcellán; Miguel A Piñar
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 196 KB
Trace formulas and a Borg-type theorem f
✍
Maxim Zinchenko
📂
Article
📅
2010
🏛
John Wiley and Sons
🌐
English
⚖ 208 KB
## Abstract We prove a general Borg‐type inverse spectral result for a reflectionless unitary CMV operator (CMV for Cantero, Moral, and Velázquez [13]) associated with matrix‐valued Verblunsky coefficients. More precisely, we find an explicit formula for the Verblunsky coefficients of a reflectionl