The Boundary Crossing Theorem and the Maximal Stability Interval | Zendy

Jorge A. LópezRentería | Zendy; Baltazar AguirreHernández | Zendy; Fernando Verduzco | Zendy

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The Boundary Crossing Theorem and the Maximal Stability Interval

Author(s) -

Jorge A. LópezRentería,

Baltazar AguirreHernández,

Fernando Verduzco

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/123403

Subject(s) - mathematics , interval (graph theory) , boundary (topology) , stability (learning theory) , stability theorem , zero (linguistics) , discrete mathematics , pure mathematics , mathematical analysis , combinatorics , computer science , linguistics , philosophy , machine learning , cauchy distribution

The boundary crossing theorem and the zero exclusion principle are veryuseful tools in the study of the stability of family of polynomials. Although both of these theorem seem intuitively obvious, they can be used for proving important results. In this paper, we give generalizations of these two theorems and we apply such generalizations for finding the maximal stability interval

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