Logarithmic norm

The logarithmic norm, also known as the logarithmic stability modulus, is a concept used in functional analysis and numerical analysis, particularly in the study of the stability of dynamical systems, matrices, and differential equations. For a given operator \( A \) (often a linear operator or a matrix), the logarithmic norm is defined in terms of the associated norms of the operator in a normed vector space. It is particularly useful for analyzing the growth rates of norms of the operator when iterated.