๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Geometry of the numerical range of matrices

โœ Scribed by Miroslav Fiedler

Book ID
107824876
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
760 KB
Volume
37
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Numerical ranges of companion matrices
Numerical ranges of companion matrices
โœ Hwa-Long Gau; Pei Yuan Wu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

We show that an n-by-n companion matrix A can have at most n line segments on the boundary NW (A) of its numerical range W(A), and it has exactly n line segments on NW (A) if and only if, for n odd, A is unitary, and, for n even, A is unitarily equivalent to the direct sum A 1 โŠ• A 2 of two (n/2)-by-

Numerical ranges of large Toeplitz matri
Numerical ranges of large Toeplitz matrices
โœ Steffen Roch ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 739 KB

A Banach algebraic approach is proposed to study the asymptotic bchaviour of the numerical ranges of certain (finite) approximation matrices of {infinite) operators. The approach works for large classes of approximation methods; it is examined in detail here for the finite sections of Toeplitz opera

The numerical range of products of norma
The numerical range of products of normal matrices
โœ S.W. Drury ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 646 KB

In an earlier paper, the author developed a formula Ibr the trace class multiplier norm of a matrix of rank at most 2. In this article, applications of this formula are given. In the main result we suppose that .I"1 ..... .L and g~,... ,g,, are given sets of complex numbers. A description is given o