A remark about the positivity problem of fourth order linear recurrence sequences | Zendy

Vichian Laohakosol | Zendy; Pinthira Tangsupphathawat | Zendy

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A remark about the positivity problem of fourth order linear recurrence sequences

Author(s) -

Vichian Laohakosol,

Pinthira Tangsupphathawat

Publication year - 2014

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2014.18.01

Subject(s) - mathematics , decidability , conjugate , order (exchange) , complex conjugate , integer (computer science) , combinatorics , value (mathematics) , root (linguistics) , pure mathematics , discrete mathematics , mathematical analysis , computer science , statistics , linguistics , philosophy , finance , economics , programming language

Consider a fourth order linear recurrence with integer coefficients whose characteristic polynomial has two distinct real and a complex conjugate pair of roots. A new proof showing that its positivity problem is decidable is given for the case where there is exactly one real root having the same absolute value as the two complex conjugate roots.

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