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# ðŸ“™ Polynomiality by Qimh Xantcha â€” free epub

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- Series:
**Research Reports in Mathematics, Dept of Math, Stockholm University, Nr 2, 2009** - Author:
**Qimh Xantcha** - Year:
**2009** - Language:
**English** - ISBN:

- File size:
**763 599** - Format:
**pdf**

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In this paper we provide a taet, numerically stable algorithm to determine when two given polynomials a arid b are relatively prime and remain relatively prime even after small perturbations of their coefficients. Such a problem is important in ninny appl...

A new method is presented for the isolation of the real roots of a given integral, univariate, square-free polynomial P. This method is based on Vincent's theorem and only uses: (i) Descartes' rule of signs, and (ii) transformations of the form x = a1 + 1...

The subroutine CPOLY is a Fortran program to find all the zeros of a complex polynomial by the three-stage complex algorithm described in Jenkins and Traub [4]. (An algorithm for real polynomials is given in [5].) The algorithm is similar in spirit to the...

The routine as written solves polynomials of degree up to 100; however, this be modified by systematic changing of the declarations in the routines....

A method is presented tor isolating and refining the real roots of polynomials with either integer or real algebraic number coefficients. For root isolation the method uses a well-known algorithm that is based on Descartes' rule of signs. However, exact a...

An exact and practical method for determining the number, location, and multiplicity of all real zeros of the trigonometric polynomials is described. All computations can be performed without loss of accuracy. lThe method is based on zero isolation techni...

We present a deterministic polynomial-time algorithm that determines whether an input number n is prime or composite....

The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution ...

Matrix and polynomial computations are fundamental to the theory and practice of computing. The authors present a systematic treatment of algorithms and complexity in these two related areas. Their study of computations with Toeplitz matrices and other de...

This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the t...