2014•International Journal of Mathematical Models and Methods in Applied SciencesRequires access

Eigenstructure of of singular systems. Perturbation analysis of simple eigenvalues

María Isabel García Planas, Sonia Tarragona Romero

Abstract

The problem to study small perturbations of simple eigenvalues with a change of parameters is of general interest in applied mathematics. After to introduce a systematic way to know if an eigenvalue of a singular system is simple or not, the aim of this work is to study the behavior of a simple eigenvalue of singular linear system family

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Key concepts: Eigenvalues and eigenvectors, Simple (philosophy), Mathematics, Eigenvalue perturbation, Singular perturbation, Perturbation (astronomy), Applied mathematics, Mathematical analysis