Algorithm to Compute Sets Enclosing M-Numerical Ranges with Applications inNumerical Analysis

摘要

One of the possible generalizations of the classical numerical range studied inthe literature is the so-called M-numerical range. In this paper the authors present an algorithm which can be used to construct a polygon V enclosing the M-numerical range of a given square matrix A. The algorithm can be executed such that V encloses the M-numerical range of A tightly.