The Numerical Factorization of a Polynomial

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

A Factorization of the Conway Polynomial

It is tempting to conjecture that there is some interesting relationship between the Conway polynomial ∇L(z) of a link L and ∇K(z), where K is a knot obtained by banding together the components of L. Obviously they cannot be equal since only terms of even or odd degree appear in ∇L(z), according to whether L has an odd or even number of components. Moreover there are many ways of choosing bands...

Factorization of the Characteristic Polynomial

We introduce a new method for showing that the roots of the characteristic polynomial of a finite lattice are all nonnegative integers. Our main theorem gives two simple conditions under which the characteristic polynomial factors in this way. We will see that Stanley’s Supersolvability Theorem is a corollary of this result. We can also use this method to demonstrate the factorization of a poly...

Some results on the polynomial numerical hulls of matrices

In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.

A new approach to the numerical solution of system of dual fuzzy polynomial equations