Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem

• Autorzy: Pietro Paparella
• Języki publikacji: EN

Abstrakty

EN

In this note, we simplify the statements of theorems attributed to Cauchy and Ostrovsky and give proofs of each theorem via combinatorial and nonnegative matrix theory. We also show that each simple sufficient condition in each statement is also necessary in its respective case. In addition, we introduce the notion of a spectrally Perron polynomial and pose a problem that appeals to a wide mathematical audience.

Słowa kluczowe

EN

spectrally Perron polynomial; Cauchy Theorem; Ostrovsky Theorem; primitive matrix

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 123-126

Daty

wydano

2017-01-26

otrzymano

2016-11-02

zaakceptowano

2017-05-20

online

2017-07-08

Twórcy

autor

Pietro Paparella

• , WA 98011-8246,

Identyfikatory

DOI

10.1515/spma-2017-0007