Publications

A list of my published journal articles, conference proceedings, preprints and technical in (reverse) chronological order.

Journal publications

  1. Govindarajan, N., Widdershoven, R., Chandrasekaran, S., De Lathauwer, L. (2024). A fast algorithm for computing Macaulay null spaces of bivariate polynomial systems. SIAM Journal on Matrix Analysis and Applications , 45(1), 368-396. (PDF)
  2. Govindarajan, N., Vervliet, N., & De Lathauwer, L. (2022). Regression and classification with spline-based separable expansions. Frontiers in big Data, 5, 688496. (PDF)
  3. Govindarajan, N., Epperly, E. N., & De Lathauwer, L. (2022). (L_r,L_r,1)-Decompositions, sparse component analysis, and the blind separation of sums of exponentials. SIAM Journal on Matrix Analysis and Applications, 43(2), 912-938. (PDF)
  4. Epperly, E. N., Govindarajan, N., & Chandrasekaran, S. (2021). Minimal rank completions for overlapping blocks. Linear Algebra and its Applications, 627, 185-198. (PDF)
  5. Govindarajan, N., Mohr, R., Chandrasekaran, S., & Mezic, I. (2021). On the approximation of Koopman spectra of measure-preserving flows. SIAM Journal on Applied Dynamical Systems, 20(1), 232-261. (PDF)
  6. Govindarajan, N., Mohr, R., Chandrasekaran, S., & Mezic, I. (2019). On the approximation of Koopman spectra for measure preserving transformations. SIAM Journal on Applied Dynamical Systems, 18(3), 1454-1497. (PDF)
  7. Govindarajan, N., De Visser, C. C., Van Kampen, E., Krishnakumar, K., Barlow, J., & Stepanyan, V. (2015). Optimal control framework for estimating autopilot safety margins. Journal of Guidance, Control, and Dynamics, 38(7), 1197-1207. (PDF)
  8. Govindarajan, N., de Visser, C. C., & Krishnakumar, K. (2014). A sparse collocation method for solving time-dependent HJB equations using multivariate B-splines. Automatica, 50(9), 2234-2244. (PDF)

Conference proceedings

  1. Widdershoven, R., Govindarajan, N., De Lathauwer, L. (2023, September). Overdetermined systems of polynomial equations: tensor-based solution and application. Proceedings of EUSIPCO 2023, Helsinki, Finland. (PDF)
  2. Chandrasekaran, S., Govindarajan, N., & Rajagopal, A. (2018, July). Fast Algorithms for Displacement and Low-Rank Structured Matrices. In Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation (pp. 17-22). (PDF)
  3. Govindarajan, N., Arbabi, H., Van Blargian, L., Matchen, T., & Tegling, E. (2016, December). An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum. In 2016 IEEE 55th Conference on Decision and Control (CDC) (pp. 6477-6484). IEEE. (PDF)

Preprints & technical reports

  1. Govindarajan, N., Chandrasekaran, S. (2024). Tree semi-separable matrices: a simultaneous generalization of sequentially and hierarchically semi-separable representations. arXiv preprint arXiv:2402.13381 [math.NA]. (PDF)
  2. Chandrasekaran, S., Epperly, E. N., Govindarajan, N. (2019). Graph-induced rank structures and their representations. arXiv preprint arXiv:1911.05858 [math.NA]. (PDF)

Dissertations

  1. Govindarajan, N. (2018). Periodic approximations and spectral analysis of the Koopman operator: theory and applications. PhD thesis. University of California Santa Barbara (PDF)