3 papers
math.OC2025
On structured condition number of rational matrix functions
Ritwik Prabin Kalita, Anshul Prajapati, Punit Sharma
We derive the necessary and sufficient conditions for the simple eigenvalues of rational matrix functions with symmetry structure to have the same normwise condition number with re…
math.NA2024
Eigenvalue backward errors of Rosenbrock systems and optimization of sums of Rayleigh quotient
Ding Lu, Anshul Prajapati, Punit Sharma +1
We address the problem of computing the eigenvalue backward error of the Rosenbrock system matrix under various types of block perturbations. We establish computable formulas for t…
math.OC2022
Structured eigenvalue backward errors for rational matrix polynomials with symmetry structures
Anshul Prajapati, Punit Sharma
We derive computable formulas for the structured backward errors of a complex number when considered as an approximate eigenvalue of rational matrix polynomials that carry a sy…