Collaborators: 

Peter Benner, Shreemayee Bora, Ritwik P. Kalita, Ding Lu, Volker Mehrmann, Punit Sharma.

Published/Accepted Papers:

1. A. Prajapati and P. Sharma, Structured eigenvalue backward errors of Rosenbrock systems and related $\mu$-value problems. Linear and Multilinear Algebra, 74(9): 1131-1154, 2026.
   https://doi.org/10.1080/03081087.2026.2677685

2. R. P. Kalita, A. Prajapati, and P. Sharma, On structured condition number of rational matrix functions. Journal of Computational and Applied Mathematics, 486:117660, 2026.
   https://doi.org/10.1016/j.cam.2026.117660

3. D. Lu, A. Prajapati, P. Sharma, and S. Bora, Eigenvalue backward error of Rosenbrock systems and optimization of sums of Rayleigh quotients. SIAM Journal on Matrix Analysis and Applications, 46(2):1301-1327, 2025.
   https://doi.org/10.1137/24M1673115
   
   

4. A. Prajapati and P. Sharma, Structured eigenvalue backward errors for rational matrix functions with symmetry structures. BIT Numerical Mathematics, 64:10, 2024.
   https://doi.org/10.1007/s10543-024-01010-3
   
   

5. A. Prajapati and P. Sharma, Optimizing the Rayleigh quotient with symmetric constraints and its application to perturbations of structured polynomial eigenvalue problems. Linear Algebra and its Applications, 645:256-277, 2022.
   https://doi.org/10.1016/j.laa.2022.03.016
   
   

6. A. Prajapati and P. Sharma, Estimation of structured distances to singularity for matrix pencils with symmetry structures: A linear algebra-based approach. SIAM Journal on Matrix Analysis and Applications, 43(2):740-763, 2022. https://doi.org/10.1137/21M1423269

Communicated Papers:

1. P. Benner, V. Mehrmann, A. Prajapati, and P. Sharma, Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems.
   https://doi.org/10.48550/arXiv.2605.13891

2. P. Benner, V. Mehrmann, A. Prajapati, and P. Sharma, Computation of structured stability radii for Dissipative-Hamiltonian systems.
   https://doi.org/10.48550/arXiv.2511.14935