The positivity problem for fourth order linear recurrence sequences is decidable

Pinthira Tangsupphathawat; Narong Punnim; Vichian Laohakosol

Colloquium Mathematicae (2012)

  • Volume: 128, Issue: 1, page 133-142
  • ISSN: 0010-1354

Abstract

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The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.

How to cite

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Pinthira Tangsupphathawat, Narong Punnim, and Vichian Laohakosol. "The positivity problem for fourth order linear recurrence sequences is decidable." Colloquium Mathematicae 128.1 (2012): 133-142. <http://eudml.org/doc/284232>.

@article{PinthiraTangsupphathawat2012,
abstract = {The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.},
author = {Pinthira Tangsupphathawat, Narong Punnim, Vichian Laohakosol},
journal = {Colloquium Mathematicae},
keywords = {positivity problem; recurrence sequences; decidability},
language = {eng},
number = {1},
pages = {133-142},
title = {The positivity problem for fourth order linear recurrence sequences is decidable},
url = {http://eudml.org/doc/284232},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Pinthira Tangsupphathawat
AU - Narong Punnim
AU - Vichian Laohakosol
TI - The positivity problem for fourth order linear recurrence sequences is decidable
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 133
EP - 142
AB - The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.
LA - eng
KW - positivity problem; recurrence sequences; decidability
UR - http://eudml.org/doc/284232
ER -

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