1. 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
   
   

2. 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
   
   

3. 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
   
   

4. 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

1. A. Prajapati and P. Sharma, Structured singular values and their applications in computing eigenvalue backward errors of system matrix.
   https://doi.org/10.48550/arXiv.2405.11974