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most citedStructured eigenvalue backward errors of Rosenbrock systems and related -value problems

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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.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 and symmetric matrices , we consider the problem of computing the supremum of $\left\{ \frac…