Can a semi-simple eigenvalue admit fractional sensitivities?

2014/02/26 by A. Luongo, Angelo Luongo, M. Ferretti +1 · 19 citations
Decision Sciences · Engineering · Mathematics · Medicine · #Applied mathematics #Brake Systems and Friction Analysis #Calculus (dental) #Eigenvalues and eigenvectors #Fractional Differential Equations Solutions #Mathematical analysis #Mathematics #Medicine #Philosophy #Physics #Probabilistic and Robust Engineering Design #Simple (philosophy)

paper · doi:10.1016/j.amc.2014.01.178

published in Applied Mathematics and Computation 255, 165-178 (Elsevier BV)

openalex publication_date 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Citations

• Eigensolutions sensitivity for nonsymmetric matrices with repeated eigenvalues
• Sensitivities and Linear Stability Analysis Around a Double-Zero Eigenvalue
• Calculation of eigenvalue and eigenvector derivatives of a defective matrix
• Free vibrations and sensitivity analysis of a defective two degree-of-freedom system
• A development of modal expansion method for eigensensitivity analysis of a defective matrix

Cited by

• A scale-dependent finite difference method for time fractional derivative relaxation type equations
• Fast recovery of parametric eigenvalues depending on several parameters and location of high order exceptional points