1 citations · 1 across the 5 of their papers we have counts for
8 papers
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…
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)\…
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…
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…
Linearizations for Rosenbrock system polynomials and rational matrix functions
Rafikul Alam, Namita Behera
Our aim in this paper is two-fold: First, for computing zeros of a linear time-invariant (LTI) system in {\em state-space form}, we introduce a "trimmed structured linearizatio…
Structured inverse least-squares problem for structured matrices
Bibhas Adhikari, Rafikul Alam
Given a pair of matrices X and B and an appropriate class of structured matrices S, we provide a complete solution of the structured inverse least-squares problem $min_{A\in_S} \|A…
Structured mapping problems for linearly structured matrices
Bibhas Adhikari, Rafikul Alam
Given an appropriate class of structured matrices S; we characterize matrices X and B for which there exists a matrix A \in S such that AX = B and determine all matrices in S mappi…
On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations
Bibhas Adhikari, Rafikul Alam
First, we derive explicit computable expressions of structured backward errors of approximate eigenelements of structured matrix polynomials including symmetric, skew-symmetric, He…