𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


A generalization of the inertia theorem
✍ Bülent Bilir; Carmen Chicone 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 663 KB

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

A Generalization of Favard′s Theorem for
✍ A.J. Duran 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 744 KB

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