Improved initialization of the accelerated and robust QR-like polynomial root-finding.
Inclusion of the roots of a polynomial based on Gerschgorin's theorem.
Inequalities for the maximum modulus of the derivative of a polynomial.
Inequalities for the polar derivative of a polynomial.
Inequalities for zeros of entire functions.
Integral mean estimates for polynomials whose zeros are within a circle.
Internal properness and stability in linear systems
Irreducible polynomials with all but one zero close to the unit disk
We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.
Iterated Laguerre and Turán inequalities.