The higher rank numerical range of nonnegative matrices

• Autorzy: Aikaterini Aretaki , Ioannis Maroulas
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Perron-Frobenius theory; Nonnegative matrix; Perron polynomial; Higher rank numerical range; Rank-k numerical radius

Kategorie tematyczne

• 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory
• 47A12: Numerical range, numerical radius
• 65F35: Matrix norms, conditioning, scaling
• 15B48: Positive matrices and their generalizations; cones of matrices

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 3
• Strony: 435-446

Daty

wydano

2013-03-01

online

2012-12-22

Twórcy

autor

Aikaterini Aretaki

• Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens, 15780, Greece

autor

Ioannis Maroulas

• Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens, 15780, Greece

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0150-3