arXiv Open Access 2012

Power series with positive coefficients arising from the characteristic polynomials of positive matrices

Thomas J. Laffey Raphael Loewy Helena Šmigoc

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Abstrak

Let A be an nxn (entrywise) positive matrix and let f(t)=det(I-t A). We prove that there always exists a positive integer N such that 1-f(t)^{1/N} has positive coefficients.

Topik & Kata Kunci

math.SP

Penulis (3)

Thomas J. Laffey

Raphael Loewy

Helena Šmigoc

Format Sitasi

APA MLA BibTeX

Laffey, T.J., Loewy, R., Šmigoc, H. (2012). Power series with positive coefficients arising from the characteristic polynomials of positive matrices. https://arxiv.org/abs/1205.1933

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Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓