Using potential theoretic methods we study the asymptotic distribution of zeros and critical points of Sobolev orthogonal polynomials, i.e., polynomials orthogonal with respect to an inner product involving derivatives. Under general assumptions it is shown that the critical points have a canonical
Pseudospectra, critical points and multiple eigenvalues of matrix polynomials
โ Scribed by Sk. Safique Ahmad; Rafikul Alam
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 330 KB
- Volume
- 430
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, using the method of invariant sets of descending flow, the multiplicity of critical points of a functional is discussed. A main theorem, which is called chain of rings theorem, is obtained. The theoretical results are applied to nonlinear elliptic boundary value problems and at least
We summarize seventeen equivalent conditions for the equality of algebraic and geometric multiplicities of an eigenvalue for a complex square matrix. As applications, we give new proofs of some important results related to mean ergodic and positive matrices.