Results 281 to 290 of about 302,926 (303)

Orthogonal polynomials—centroid of their zeroes

Numerical Algorithms, 2008
Given and orthogonal polynomial sequence \((P_n)_n\), the centroid of the zeros of the \(n\)-th polynomial \(P_n\) is defined by \(s_n=\frac1n\sum_{k=1}^n x_{n,k}\), where \(x_{n,k}\), \(k=1,2,\dots,n\) are the roots of \(P_n\). In the present paper the author reviews some properties of the zeros and the centroid (such as inequalities, invariance with ...
openaire   +2 more sources

On the location of zeros of polynomials

1978
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 30 (1976), s. 43-48 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 30 (1976), s. 43-48 ; streszcz. pol., ros.
openaire   +1 more source

Zeros of quasi-orthogonal -Laguerre polynomials

Journal of Mathematical Analysis and Applications, 2022
Pinaki Prasad Kar, Priyabrat Gochhayat
exaly  

ON THE DISTRIBUTION OF THE ZEROS OF A POLYNOMIAL

The Quarterly Journal of Mathematics, 1965
openaire   +1 more source

Stieltjes interlacing of zeros of little q-Jacobi and q-Laguerre polynomials from different sequences

Numerical Algorithms, 2022
Priyabrat Gochhayat, Kerstin H. Jordaan
exaly  

Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros

IEEE Transactions on Automatic Control, 2009
Tomáš Vyhlídal, Pavel Zitek
exaly  

Zeros of exceptional Hermite polynomials

Journal of Approximation Theory, 2015
Robert Milson
exaly  

Algorithm 419: zeros of a complex polynomial [C2]

Communications of the ACM, 1972
J F Traub
exaly  

A Note on the Computation of All Zeros of Simple Quaternionic Polynomials

SIAM Journal on Numerical Analysis, 2010
Drahoslava Janovska, Gerhard Opfer
exaly  

Number of zeros of interval polynomials

Journal of Computational and Applied Mathematics, 2013
Jiansong Deng
exaly