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[1011.0344] On the Complexity of Real Root Isolation


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 ...

Real-root isolation - Wikipedia

Some algorithms compute all complex roots, but, as there are generally much fewer real roots than complex roots, most of their computation time is generally ...

Root isolation of real-rooted integer polynomials - Julia Discourse

I have a collection of polynomials with non-negative integer coefficients that I know to be real-rooted with no repeated roots by examining Sturm chains for ...

Can an odd degree polynomial have all complex/imaginary roots?

Every polynomial, for example in this case a cubic function, can have 3 real roots, 2 real and 1 complex, 1 real and 2 complex OR all three can be complex.

Number of possible real roots of a polynomial (video) - Khan Academy

But all the polynomials we work with have real coefficients, so given that, we can only have conjugate pairs of complex roots. Comment

Counting the number of roots of a polynomial in each quadrant of ...

... complex plane, counting positive/negative real/imaginary lines seperately? ... On Wikipedia I've found Real Root Isolation, Descarte's Rule of ...