Research Interests

• Numerical Linear Algebra
• Eigenvalue Problems
• Damping Optimization
• Perturbation theory

Degrees

• Postdoc at Indian Institute of Technology Bombay, India  (October 2020 –October 2021)
• PhD in Mathematics from Indian Institute of Technology Guwahati, India, 2019
  
• MS in Mathematics from Indian Institute of Technology Kanpur, India, 2012
• BS in Mathematics from Sambalpur University, India, 2009

Publications

Projects

• Vibration Reduction in Mechanical Systems — scientific project (IP-2019-04-6774, VIMS)

Professional Activities

Publications
• R. K. Das and R. Alam, Structured strong linearizations of structured rational matrices.
Linear And MultiLinear Algebra, 70 (2022), pp. 6018–6051.
https://doi.org/10.1080/03081087.2021.1945525
• R. K. Das and R. Alam, Palindromic linearizations of palindromic matrix polynomials of
odd degree obtained from Fiedler-like pencils.Vietnam Journal of Mathematics, 48 (2020), pp.
865–891. https://doi.org/10.1007/s10013-020-00444-w
• R. K. Das and R. Alam, Affine spaces of strong linearizations for rational matrices and the
recovery of eigenvectors and minimal bases, Linear Algebra Appl., 569 (2019), pp. 335–368.
https://doi.org/10.1016/j.laa.2019.02.001
• R. K. Das and R. Alam, Recovery of minimal bases and minimal indices of rational matrices
from Fiedler-like pencils, Linear Algebra Appl., 566 (2019), pp. 34–60.
https://doi.org/10.1016/j.laa.2018.12.021
• R. K. Das and R. Alam, Automatic recovery of eigenvectors and minimal bases of matrix
polynomials from generalized Fiedler pencils with repetition, Linear Algebra Appl., 569
(2019), pp. 78–112. https://doi.org/10.1016/j.laa.2019.01.013

Manuscripts submitted/Under Preparation
• R. K. Das, Zoran Tomljanovic, and Krešimir Veselić, Perturbation bounds for eigenvalues of the
parameter-dependent quadratic eigenvalue problem for efficient damping optimization.
• R. K. Das and Harish K. Pillai, Unified framework for Fiedler-like strong linearizations of
polynomial and rational matrices (Submitted)
• R. K. Das, Hermitian linearizations preserving sign characteristic of Hermitian matrix
polynomial.
• R. K. Das, S. Miodragović, and N. Truhar, Perturbation bounds for regular Hermitian polynomial eigenvalue problem.
• R. K. Das, Algorithms for constructing Fiedler-like pencils

     Refereeing/Reviewing

• Linear Algebra and Its Applications
• Applied Mathematics and Computation
• Bulletin of the Iranian Mathematical Society
• Mathematical Reviews

Conferences/Workshops
• 25th conference of the International Linear Algebra Society (12-16 June 2023), Madrid, Spain
• 11th Conference on Applied Mathematics and Scientific Computing (05-09 September 2022), Brijuni, Croatia.
• 7th Croatian Mathematical Congress (15-18 June 2022), University of Split, Croatia.
• 3rd Workshop on Optimal Control of Dynamical Systems and Applications March 28-April 01, 2022
at Department of Mathematics, J. J. Strossmayer University of Osijek, Croatia.
• 9th International Congress on Industrial and Applied Mathematics-ICIAM 2019 (15-19 July 2019),
University of Valencia, Valencia, Spain.
• SIAM Conference on Applied Linear Algebra (04-08 May 2018), Hong Kong Baptist University, Hong Kong.
• International Conference on Linear Algebra and its Applications (11-15 December 2017), Manipal
University, Manipal-576104, Karnataka, India.
• National Conference on “Advances in Mathematical Sciences” (22-23 December 2016), Gauhati University, Guwahati-781014, Assam, India.
• Advanced Instructional Schools on Matrix Analysis (02-21 May 2016), Shiv Nadar University, Greater
Noida, Uttar Pradesh – 201314, India.
• Presenter in Intra IIT Latex Workshop-2017, organised by Indian Institute of Technology Guwahati,
India.
• Poster presentation in Research Conclave- 2016, organized by IIT Guwahati, India.