Generalization and variations of Pellet’s theorem for matrix polynomials
✍ Scribed by Melman, A.
- Book ID
- 120375749
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 540 KB
- Volume
- 439
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
In this paper, we give the canonical expression for an inner product (defined in \(\mathscr{P}\), the linear space of real polynomials), for which the set of orthonormal polynomials satisfies a \((2 N+1)\)-term recurrence relation. This result is a generalization of Favard's theorem about orthogonal