arXiv Open Access 2022

Sturm's Theorem with Endpoints

Philippe Pébay J. Maurice Rojas David C. Thompson

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Abstrak

Sturm's Theorem is a fundamental 19th century result relating the number of real roots of a polynomial $f$ in an interval to the number of sign alternations in a sequence of polynomial division-like calculations. We provide a short direct proof of Sturm's Theorem, including the numerically vexing case (ignored in many published accounts) where an interval endpoint is a root of $f$.

Topik & Kata Kunci

cs.SC math.AC

Penulis (3)

Philippe Pébay

J. Maurice Rojas

David C. Thompson

Format Sitasi

APA MLA BibTeX

Pébay, P., Rojas, J.M., Thompson, D.C. (2022). Sturm's Theorem with Endpoints. https://arxiv.org/abs/2208.07904

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓