Krein spaces numerical ranges and their computer generation

被引：0

作者：

Bebiano, N. ^{[1
]}

Da Providencia, J. ^{[2
]}

Nata, A. ^{[3
]}

Soares, G. ^{[4
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, Coimbra, Portugal

[2] Univ Coimbra, Dept Phys, CFT, Coimbra, Portugal

[3] CMUC, Dept Math, Polytech Inst, Tomar, Portugal

[4] Univ Tras Os Montes & Alto Douro, Dept Math, Coimbra, Portugal

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2008年 / 17卷

关键词：

Krein spaces; numerical range; tridiagonal matrices;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let J be an involutive Hermitian matrix with signature ( t, n - t), 0 <= t <= n, that is, with t positive and n - t negative eigenvalues. The Krein space numerical range of a complex matrix A of size n is the collection of complex numbers of the form xi*JA xi/xi*J xi, with xi epsilon C-n and xi*J xi not equal 0. In this note, a class of tridiagonal matrices with hyperbolical numerical range is investigated. A Matlab program is developed to generate Krein spaces numerical ranges in the finite dimensional case.

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页数：17

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