Results 151 to 160 of about 431 (173)
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Locating real multiple zeros of a real interval polynomial
Proceedings of the 2006 international symposium on Symbolic and algebraic computation, 2006For a real interval polynomial F, we provide a rigorous method for deciding whether there exists a polynomial in F that has a multiple zero in a prescribed interval in R. We show that it is sufficient to examine a finite number of edge polynomials in F.
Hiroshi Sekigawa, Kiyoshi Shirayanagi
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An algorithm for locating all zeros of a real polynomial
Computing, 1995The authors present a globally convergent algorithm for calculating all zeros of a polynomial \(p_n\) with real coefficients. The calculation procedure starts with the stability test allowing to decide whether all zeros of \(p_n\) lie in the interior of the unit circle of the complex plane.
F. Locher, Michael-Ralf Skrzipek
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Characterization of zero locations of polytopes of real polynomials
IEEE Transactions on Automatic Control, 1992Summary: Let a polytope of real polynomials be given. We present a result which will allow us to construct the smallest set of regions in the complex plane which characterizes its zero location.
Foo, Y. K., Soh, Y. C.
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Variance of real zeros of random orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2021Doron Lubinsky, Igor Pritsker
exaly
A result on common zeros location of orthogonal polynomials in two variables
Journal of Mathematical Analysis and Applications, 2006Zhongxuan Luo
exaly
On Power Series Having Sections With Only Real Zeros
Computational Methods and Function Theory, 2013Anna Vishnyakova
exaly