𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Definite Matrix Polynomials and their Linearization by Definite Pencils

✍ Scribed by Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise


Book ID
118211827
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
321 KB
Volume
31
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Detecting hyperbolic and definite matrix
✍ V. Niendorf; H. Voss 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 379 KB

Hyperbolic or more generally definite matrix polynomials are important classes of Hermitian matrix polynomials. They allow for a definite linearization and can therefore be solved by a standard algorithm for Hermitian matrices. They have only real eigenvalues which can be characterized as minmax and

The LpSpace of a Positive Definite Matri
✍ Antonio J. Duran; Pedro Lopez-Rodriguez 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 395 KB

In this paper we study the space L p ( +), 1 p + , + being a positive definite matrix of measures. We prove that the set of all positive definite matrices of measures having the same moments as those of + is compact in the vague topology, and we give a density result for L 1 ( +) which is an extensi