3 papers
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.NA2020
Structured strong linearizations of structured rational matrices
Ranjan Kumar Das, Rafikul Alam
Structured rational matrices such as symmetric, skew-symmetric, Hamiltonian, skew-Hamiltonian, Hermitian, and para-Hermitian rational matrices arise in many applications. Lineariza…