✦ LIBER ✦

On the boundary of the numerical range of a matrix

✍ Scribed by Mao-Ting Chien; Lina Yeh

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 203 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.02.017

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The boundary of the numerical range of m

The boundary of the numerical range of matrix polynomials

✍ J. Maroulas; P. Psarrakos 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 551 KB

Some algebraic properties of the sharp points of the numerical range of matrix polynomials are the main subject of this paper. We also consider isolated points of the numerical range and the location of the numerical range in a circular annulus.

Numerical approximation of the boundary

Numerical approximation of the boundary of numerical range of matrix polynomials

✍ P. Psarrakos; Ch. Tsitouras 📂 Article 📅 2005 🏛 John Wiley and Sons ⚖ 335 KB

The numerical range of an n × n matrix polynomial , and plays an important role in the study of matrix polynomials. In this paper, we describe a methodology for the illustration of its boundary, ∂W (P ), using recent theoretical results on numerical ranges and algebraic curves.

On the C-numerical range of a matrix

✍ Jean Dazord 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 581 KB

On the numerical ranges of matrix produc

On the numerical ranges of matrix products

✍ Mao-Ting Chien; Chung-Lien Ko; Hiroshi Nakazato 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 290 KB

Let A and C be n × n complex matrices. The C -numerical range of A is defined as the set We study classes of matrices that two matrices A, B in the respective class satisfy W C (AB) = W C (BA) for a certain complex matrix C .

On the connectedness of numerical range

On the connectedness of numerical range of matrix polynomials

✍ J. Maroulas; P. Psarrakos 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 624 KB

An investigation on nonconnectedness of numerical range for manic matrix polynomials L( ) is undertaking here. The distribution of eigenvalues of L(1) to the components of numerical range and some other algebraic properties are also presented.

The upper numerical range of a quaternio

The upper numerical range of a quaternionic matrix is not a complex numerical range

✍ Robert C. Thompson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 653 KB

A recent result is that the quatemionic numerical range of a matrix with quatemion entries has a convex intersection with the upper half complex plane. This intersection is now shown to be generally not achievable as the upper half plane part of the complex numerical range of any complex matrix. A k