Anshul Prajapati

collaborators

2 papers

math.NA2021

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 $H \in C^{n, n}$ and symmetric matrices $S_{0}, S_{1}, \dots, S_{k} \in C^{n, n}$ , we consider the problem of computing the supremum of $\left\{ \frac…

math.OC2021

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 $A + s E$ , where $(A, E) \in S \subseteq (C^{n, n})^{2}$ . This includes Hermitian, skew-He…