Christer Glader

collaborators

2 papers

math.NA2018

A Numerical Model for the Construction of Finite Blaschke Products with Preassigned Distinct Critical Points

Christer Glader, Ray Pörn

We present a numerical model for determining a finite Blaschke product of degree $n + 1$ having $n$ preassigned distinct critical points $z_{1}, \dots, z_{n}$ in the complex (open) unit di…

math.CV2017

Crouzeix's conjecture holds for tridiagonal $3 \times 3$ matrices with elliptic numerical range centered at an eigenvalue

Christer Glader, Mikael Kurula, Mikael Lindstrom

M. Crouzeix formulated the following conjecture in (Integral Equations Operator Theory 48, 2004, 461--477): For every square matrix $A$ and every polynomial $p$ , $$ \|p(A)\| \le 2…

A Numerical Model for the Construction of Finite Blaschke Products with Preassigned Distinct Critical Points

Crouzeix's conjecture holds for tridiagonal 3×3 matrices with elliptic numerical range centered at an eigenvalue

Crouzeix's conjecture holds for tridiagonal $3 \times 3$ matrices with elliptic numerical range centered at an eigenvalue