1 citations · 1 across the 8 of their papers we have counts for
9 papers
Robust forms for passive descriptor systems
Peter Benner, Anshul Prajapati, Paul Van Dooren
We show how to compute the passivity radius of a given generalized state-space model of a rational transfer function that represents a passive system, both in the continuous-time a…
Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems
Peter Benner, Volker Mehrmann, Anshul Prajapati +1
We study linear time-invariant dissipative Hamiltonian differential-algebraic systems. We characterize when the systems are robustly asymptotically stable and derive exact conditio…
Computation of structured stability radii for Dissipative-Hamiltonian systems
Peter Benner, Volker Mehrmann, Anshul Prajapati +1
We study linear time-invariant Dissipative Hamiltonian (DH) systems arising in energy-based modeling of dynamical systems. An advantage of DH systems is that they are always stable…
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…
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…
Structured eigenvalue backward errors of Rosenbrock systems and related -value problems
Anshul Prajapati, Punit Sharma
In this paper, we compute the structured eigenvalue backward error of a Rosenbrock system matrix for a given…
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…
Optimizing Rayleigh quotient with symmetric constraints and their applications to perturbations of the structured polynomial eigenvalue problem
Anshul Prajapati, Punit Sharma
For a Hermitian matrix and symmetric matrices , we consider the problem of computing the supremum of $\left\{ \frac…
Estimation to structured distances to singularity for matrix pencils with symmetry structures: A linear algebra-based approach
Anshul Prajapati, Punit Sharma
We study the structured distance to singularity for a given regular matrix pencil , where . This includes Hermitian, skew-He…