arXiv Open Access 2005

Computations with one and two real algebraic numbers

Ioannis Z. Emiris Elias P. Tsigaridas

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Abstrak

We present algorithmic and complexity results concerning computations with one and two real algebraic numbers, as well as real solving of univariate polynomials and bivariate polynomial systems with integer coefficients using Sturm-Habicht sequences. Our main results, in the univariate case, concern the problems of real root isolation (Th. 19) and simultaneous inequalities (Cor.26) and in the bivariate, the problems of system real solving (Th.42), sign evaluation (Th. 37) and simultaneous inequalities (Cor. 43).

Topik & Kata Kunci

cs.SC cs.MS

Penulis (2)

Ioannis Z. Emiris

Elias P. Tsigaridas

Format Sitasi

APA MLA BibTeX

Emiris, I.Z., Tsigaridas, E.P. (2005). Computations with one and two real algebraic numbers. https://arxiv.org/abs/cs/0512072

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2005
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓