Structured eigenvalue backward errors of Rosenbrock systems and related μ-value problems

Linear and Multilinear Algebra, 74 (9), pp. 1131-1154, 2026.

(with A. Prajapati)

On structured condition number of rational matrix functions

Journal of Computational and Applied Mathematics, 486, 2026. DOI: https://doi.org/10.1016/j.cam.2026.117660.

(with R. P. Kalita, A. Prajapati)

Additional results on convergence and semiconvergence of three-step alternating iteration scheme for singular linear systems

FILOMAT, 39 (15), 2025.

(with V. Shekhar)

Eigenvalue backward errors of Rosenbrock systems and optimization of sums of Rayleigh quotient

SIAM Journal on Matrix Analysis and Applications, 46:2, 2025.

(with D. Lu, A. Prajapati, S. Bora)

Structured eigenvalue backward errors for rational matrix polynomials with symmetry structures

BIT Numerical Mathematics, 64:10, https://doi.org/10.1007/s10543-024-01010-3, 2024

(with A. Prajapati)

Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach

Linear and Multilinear Algebra, https://doi.org/10.1080/03081087.2024.2304144, 2024

(with N. Choudhary, N. Gillis)

On the non-symmetric semidefinite Procrustes problem

Linear Algebra and Applications, 648, pp. 133-159, 2022

(with M. Baghel, N. Gillis)

Optimizing the Rayleigh quotient with symmetric constraints and its application to perturbations of structured polynomial eigenvalue problems

Linear Algebra and Applications, 645, pp. 256-277, 2022

(with A. Prajapati)

Estimation to 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

(with A. Prajapati)

Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems

Numerical Linear Algebra with Applications, 28 (6), 2021

(with M. Baghel, N. Gillis)

Minimal-norm static feedback using dissipative Hamiltonian matrices

Linear Algebra and Applications, 623, pp. 258-281, 2021

(with N. Gillis)

On approximating the nearest Ω-stable matrices

Numerical Linear Algebra with Applications, 27 (3), pp. e2282, 2020

(with N. Choudhary, N. Gillis)

A note on approximating the nearest stable discrete-time descriptor systems with fixed rank

Applied Numerical Mathematics, 148, pp. 131-139, 2019

(with N. Gillis, M. Karow)

Approximating the nearest stable discrete-time system

Linear Algebra and Applications, 573, pp. 37-53, 2019

(with N. Gillis, M. Karow)

Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control

Electronic Journal of Linear Algebra, 34, pp. 526-560, 2018

(with C. Mehl, V. Mehrmann)

Finding the nearest positive-real system

SIAM Journal on Numerical Analysis, 56(2), pp. 1022-1047, 2018

(with N. Gillis)

Computing nearest stable matrix pairs

Numerical Linear Algebra with Applications, 25(5), pp. e2153, 2018

(with N. Gillis, V. Mehrmann)

A semi-analytical approach for the positive semidefinite Procrustes problem

Linear Algebra and Applications, 540, pp. 112-137, 2018

(with N. Gillis)

On computing the distance to stability for matrices using linear dissipative Hamiltonian systems

Automatica 85, pp. 113-121, 2017

(with N. Gillis)

Stability radii for real linear Hamiltonian systems with perturbed dissipation

BIT Numerical Mathematics, 57(3), pp. 811-843, 2017

(with C. Mehl, V. Mehrmann)

Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations

SIAM Journal on Matrix Analysis and Applications, 37(4), pp. 1625-1654, 2016

(with C. Mehl, V. Mehrmann)

Structured eigenvalue backward errors of matrix pencils and polynomials with palindromic structures

SIAM Journal on Matrix Analysis and Applications, 36(2), pp. 393-416, 2015

(with S. Bora, M. Karow, C. Mehl)

Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures

SIAM Journal on Matrix Analysis and Applications, 35 (2), pp. 453-475, 2014

(with S. Bora, M. Karow, C. Mehl)

Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems

arXiv:7582350, 2026.

(with P. Benner, V. Mehrmann and A. Prajapati)

Finding the nearest bounded-real port-Hamiltonian system

arXiv:2501.11903v1, 2025. (Under review)

(with N. Gillis and K. Cherifi)

Computation of structured stability radii for Dissipative-Hamiltonian systems

arXiv:2511.03265, 2025. (Under review)

(with P. Benner, V. Mehrmann and A. Prajapati)

Computing the nearest Ω-admissible descriptor dissipative Hamiltonian system

arXiv:2511.03265, 2025. (Under review)

(with V. Aggarwal and N. Gillis)

Doubly structured mapping problems of the form ∆x = y and ∆∗z = w

arXiv:2208.12429, 2022. (Under review)

(with M. Baghel)

Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization}". In: Guglielmi, N., Lubich, C. (eds) Recent Stability Issues for Linear Dynamical Systems. Lecture Notes in Mathematics, vol 2357, pp 1-83 , Springer, Cham, 2024.

https://doi.org/10.1007/978-3-031-71326-2_1

(with N. Gillis)

Reconstruction of Aggregation Tree in spite of Faulty Nodes in Wireless Sensor Networks

Proc. of 6th IEEE International Conference on Wireless Communication and Sensor Networks (WCSN’10), (IEEE Press), Allahabad, India

(with P. S. Mandal)