IEEE

Tracking the Algebraic Multiplicity of Crossing Imaginary Roots for Generic Quasipolynomials: A Vandermonde-Based Approach

Abstract: A standard approach in analyzing dynamical systems consists in identifying and understanding the eigenvalues bifurcations when crossing the imaginary axis. Efficient methods for crossing ...
Scientific Research Publishing

Relationships among Three Multiplicities of a Differential Operator’s Eigenvalue

In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three multiplicities of an ...
Scientific Research Publishing

Cvetkovic, D.M. and Gutman, I. (1972) The Algebraic Multiplicity of the Number Zero in the Spectrum of a Bipartite Graph. Matematicki Vesnik, 9, 141-150.

ABSTRACT: The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this paper we show the expression of the nullity and nullity set of unicyclic graphs with n vertices and ...
JSTOR Daily

Complex Algebraic Geometry and Calculation of Multiplicities for Induced Representations of Nilpotent Lie Groups

Let $G$ be a connected, simply connected nilpotent Lie group, $H$ a Lie subgroup, and $\sigma$ an irreducible unitary representations of $H$. In a previous paper, the ...