- E. Mengi and M.L. Overton. Algorithms for the computation of the pseudospectral radius and the numerical radius of a matrix. IMA J. Numer. Anal., 25(4):648-669, 2005. (published paper in pdf)
- M. Gu, E. Mengi, M.L. Overton, J. Xia and J. Zhu. Fast methods for estimating the distance to uncontrollability. SIAM J. Matrix Anal. Appl., 28(2):477-502, 2006. (published paper in pdf)
- D. Kressner and E. Mengi. Structure-preserving eigenvalue solvers for robust stability and controllability estimates. In proceedings of the 45th IEEE conference on control and decision, 2006. (paper in final form in pdf)
- E. Mengi. On the estimation of the distance to uncontrollability for higher order systems, SIAM J. Matrix Anal. Appl., 30(1):154-172, 2008. (published paper in pdf)
- E. Mengi. Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity. Numerische Mathematik, 118(1):109-135, 2011. (published paper in pdf)
- E. Mengi. Nearest linear systems with highly deficient reachable subspaces. SIAM J. Matrix Anal. Appl., 33(3):1000-1017, 2012. (published paper in pdf)
- D. Kressner, E. Mengi, I. Nakic and N. Truhar. Generalized eigenvalue problems with specified eigenvalues. IMA J. Numer. Anal., 34(2):480-501, 2014. (published paper in pdf)
- E. Mengi, E. A. Yildirim and M. Kilic. Numerical optimization of eigenvalues of Hermitian matrix functions. SIAM J. Matrix Anal. Appl., 35(2):699-724, 2014. (published paper in pdf)
- M. Karow, D. Kressner and E. Mengi. Nonlinear eigenvalue problems with specified eigenvalues. SIAM J. Matrix Anal. Appl., 35(3):819-834, 2014. (published paper in pdf)
- M. Karow and E. Mengi. Matrix polynomials with specified eigenvalues. Linear Algebra Appl., 466:457-482, 2015. (published paper in pdf)
- E. Mengi. A support function based algorithm for optimization with eigenvalue constraints. SIAM J. Optim., 27(1):246-268, 2017. (published paper in pdf)
- K. Meerbergen, E. Mengi, W. Michiels and R. Van Beeumen. Computation of pseudospectral abscissa for large scale nonlinear eigenvalue problems. IMA J. Numer. Anal., 37(4):1831-1863, 2017. (final form of the paper in pdf)
- N. Aliyev, P. Benner, E. Mengi, P. Schwerdtner and M. Voigt. Large-scale computation of L-infinity norms by a greedy subspace method. SIAM J. Matrix Anal. Appl., 38(4):1496-1516, 2017. (published paper in pdf)
- F. Kangal, K. Meerbergen, E. Mengi and W. Michiels. A subspace method for large scale eigenvalue optimization. SIAM J. Matrix Anal. Appl., 39(1):48-82, 2018. (final form of the paper in pdf)
- E. Mengi. Large-scale and global maximization of the distance to instability. SIAM J. Matrix Anal. Appl., 39(4):1776-1809, 2018. (published paper in pdf)
- S. Onal, G. Uludag, M. Oray, E. Mengi, C. P. Herbort, M. Akman, M. Metin, A. Koc Akbay and I. Tugal Tutkun. Quantitative analysis of structural alterations in the choroid of patients with active Behcet uvetis. Retina – J. Ret. Vit. Dis., 38(4):828-840, 2018.
- M. E. Hochstenbach, K. Meerbergen, E. Mengi and B. Plestenjak. Subspace methods for three-parameter eigenvalue problems. Numer. Linear Algebra Appl., 26(4):e2240, 2019. (22 pages) (paper in pdf)
- F. Kangal and E. Mengi. Non-smooth algorithms for minimizing the largest eigenvalue with applications to inner numerical radius. IMA J. Numer. Anal., 40(4):2342-2376, 2020. (final form of the paper in pdf)
- N. Aliyev, V. Mehrmann and E. Mengi. Approximation of stability radii for large-scale dissipative Hamiltonian systems. Adv. Comput. Math., 46:6, 2020. (28 pages) (published paper in pdf)
- N. Aliyev, P. Benner, E. Mengi and M. Voigt. A Subspace framework for H-infinity norm minimization. SIAM J. Matrix Anal. Appl., 41(2):928:956, 2020. (paper in pdf)
- P. Schwerdtner, E. Mengi and M. Voigt. Certifying global optimality for the L-infinity norm computation of large-scale descriptor systems. IFAC-PapersOnLine, 53(2):4279-4284, 2020. (paper in pdf)
- R. Aziz, E. Mengi and M. Voigt. Derivative interpolating subspace frameworks for nonlinear eigenvalue problems. SIAM J. Sci. Comput., 44(4):A1833-A1858, 2022. (final form of the paper in pdf)
- E. Mengi. Large-scale estimation of dominant poles of a transfer function by an interpolatory framework. SIAM J. Sci. Comput., 44(4):A2412-2438, 2022. (final form of the paper in pdf)
- N. Aliyev and E. Mengi. Large-scale minimization of the pseudospectral abscissa. (arXiv:2208.07540) Submitted, 2022. (paper in pdf)
- E. Mengi. A subspace framework for L-infinity model reduction. (arXiv:2309.08011) Submitted, 2023. (paper in pdf)