1 citations · 1 across the 5 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.SP2025
A brief overview of spectral perturbation Theory
Rafikul Alam
The aim of this article is to present a brief overview of spectral perturbation theory for matrices, bounded linear operators and holomorphic operator-valued functions. We focus on…
math.SP2025
Analytic matrix descriptions with application to time-delay systems
Rafikul Alam, Jibrail Ali
A polynomial matrix description(PMD) of a rational matrix is a matrix polynomial of the form $$ \mathbf{P}(λ) := \left[\begin{array}{c|c} A(λ) & B(λ) \\ \hline -C(λ) & D(λ)\…
math.NA2025
Structure-preserving deflation of critical eigenvalues in quadratic eigenvalue problems associated with damped mass-spring systems
Rafikul Alam, Volker Mehrmann, Ninoslav Truhar
For a quadratic matrix polynomial associated with a damped mass-spring system there are three types of critical eigenvalues, the eigenvalues and and the eigenvalues on…