A conjecture of Schoenberg.
A criterion for unimodality.
A factorisation of the Askey’s characteristic function
A new look at Newton's inequalities.
A new proof of a theorem about generalized orthogonal polynomials.
A note on Babylonian square-root algorithm and related variants.
A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
It is shown that if A is a bounded linear operator on a complex Hilbert space, then , where w(A) and ||A|| are the numerical radius and the usual operator norm of A, respectively. An application of this inequality is given to obtain a new estimate for the numerical radius of the Frobenius companion matrix. Bounds for the zeros of polynomials are also given.
A pseudo Laguerre method
A simple proof of the Fundamental Theorem of Algebra
In the paper an elementary and simple proof of the Fundamental Theorem of Algebra is given.
A Unified Approach to Methods for the Simultaneous Computation of All Zeros of Generalized Polynomials.
Algoritmy na výpočet kořenů polynomu
An extension of the root perturbation -dimensional polynomial factorization method
An Implementation of Vincent's Theorem.
Are the coefficients of a polynomial well-conditioned functions of its roots?