The higher rank numerical range of nonnegative matrices

Central European Journal of Mathematics - Tập 11 - Trang 435-446 - 2012
Aikaterini Aretaki1, Ioannis Maroulas1
1Department of Mathematics, National Technical University of Athens, Athens, Greece

Tóm tắt

In this article the rank-k numerical range ∧ k (A) of an entrywise nonnegative matrix A is investigated. Extending the notion of elements of maximum modulus in ∧ k (A), we examine their location on the complex plane. Further, an application of this theory to ∧ k (L(λ)) of a Perron polynomial L(λ) is elaborated via its companion matrix C L .

Tài liệu tham khảo

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Thông tin
Thông tin xuất bản

Central European Journal of Mathematics

Tập 11

435-446

Thông tin tác giả