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[1011.0344] On the Complexity of Real Root Isolation


[1011.0344] On the Complexity of Real Root Isolation - arXiv

We introduce a new approach to isolate the real roots of a square-free polynomial F=\sum_{i=0}^n A_i x^i with real coefficients.

On the Complexity of Real Root Isolation - ResearchGate

PDF | We introduce a new approach to isolate the real roots of a square-free polynomial $F=\sum_{i=0}^n A_i x^i$ with real coefficients. It is assumed.

[PDF] On the Complexity of Real Root Isolation - Semantic Scholar

An upper bound on the maximal precision that is needed for isolating the roots of a square-free polynomial, for integer polynomials, is given, ...

On the complexity of real root isolation using Continued Fractions

Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials ...

SqFreeEVAL: An (almost) optimal real-root isolation algorithm

Algorithms for polynomial real root isolation. Ph ... On the complexity of real root isolation. Technical Report arxiv:1011.0344 , Mathematics Arxiv, 2011.

Univariate real root isolation in an extension field and applications

We present algorithmic, complexity and implementation results for the problem of isolating the real roots of a univariate polynomial in

Univariate real root isolation in an extension field - ACM Digital Library

We present algorithmic, complexity and implementation results for the problem of isolating the real roots of a univariate polynomial in B α ∈ L[y]

Univariate real root isolation in multiple extension fields

We present algorithmic, complexity and implementation results for the problem of isolating the real roots of a univariate polynomial in Bα ∈ L[y], ...

On the complexity of real root isolation using Continued Fractions

We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction ...

SqFreeEVAL: An (almost) optimal real-root isolation algorithm

... root sepa- rations. This bound was ... On the complexity of real root isolation. Technical Report arxiv:1011.0344, Mathematics Arxiv, 2011.

On the Complexity of the Descartes Method when using ... - CiteSeerX

intervals for the roots of a real polynomial f ∈ R[x] from corresponding isolating intervals for the roots of a rational approximation ˜f ∈ Q[x] ...

Univariate real root isolation in an extension field and applications

Keywords: real root isolation, algebraic polynomial, field extension, separation ... On the complexity of real root isolation. CoRR, abs/1011.0344 ...

Computer Science 2010 - arXiv

Authors and titles for 2010 ; [5831] arXiv:1011.0344 · On the Complexity of Real Root Isolation. Michael Sagraloff ; [5832] arXiv:1011.0350 · Developing courses ...

Univariate Real Root Isolation over a Single Logarithmic Extension ...

Keywords Real root isolation ·Logarithm ·Algebraic number ·Separation bound ... Sagraloff, M.: On the complexity of real root isolation. abs/1011.0344v1 (2010).

Univariate Real Root Isolation in Multiple Extension Fields - CiteSeerX

On the complexity of real root isolation. CoRR, abs/1011.0344v1, 2010. [32] M. Sagraloff. When Newton meets Descartes: A simple and fast algorithm to ...

GRASS GIS: A multi-purpose open source GIS - Typeset.io

regions from containing roots and does not confirm that roots ... On the complexity of real root isolation. Technical Report arxiv:1011.0344, Mathematics Arxiv, ...

Univariate Real Root Isolation in an Extension Field - Inria

ABSTRACT. We present algorithmic, complexity and implementation re- sults for the problem of isolating the real roots of a univari-.

On the complexity of real root isolation using continued fractions

We present a new algorithm for isolating the real roots of a system of multivariate polynomials, given in the monomial basis. It is inspired by existing ...

ISSAC 2012 - The University of Bath

On the Complexity of Real Root Isolation. http: · //arxiv.org/abs/1011.0344, 2010. [SS71]. A. Schönhage and V. Strassen. Schnelle Multiplikation großer. Zahlen ...

Complexity of Real Root Isolation Using Continued Fractions

A General Subdivision Algorithm for Real Root Isolation. Estimate on number of real roots. • E(A,(c,d)) an upper bound on number of real roots of A(X) in (c ...