About Me

I am currently a Postdoctoral researcher at J. J. Strossmayer University of Osijek, Croatia, with Prof. Zoran Tomljanović. I obtained my PhD from the Department of Mathematics, IIT Guwahati under the supervision of Prof. Rafikul Alam in 2019. From October 2020 to October 2021, I was a Postdoctoral researcher at Deraprtment of Electrical Engineering, IIT Bombay working with Prof. Harish. K. Pillai.

My CV

Research Interest

I work in the broad area of Numerical Linear Algebra and Matrix Theory.

My research interests includes

• Polynomial and Rational Eigenvalue Problems
• Parameter Dependent Quadratic Eigenvalue Problems
• Damping optimization in mechanical systems
• Perturbation Theory for Rational Eigenvalue Problems.

Postdoctoral Experience

• Jan 2022–Continue at Department of Mathematics, J. J. Strossmayer University of Osijek, Croatia
• October 2020- October at 2021, Deartment Of Electrical Engineering, IIT Bombay, India

Education

• Ph.D.: Indian Institute of Technology Guwahati, India (2013-2019)
  • Thesis Advisor: Prof. Rafikul Alam
  • Thesis Title: Strong Linearizations of Polynomial and Rational Matrices and Recovery of Spectral Data
  • Thesis submission on 1st April 2019
  • Thesis defended on 30th August 2019

• M.Sc.: Indian Institute of Technology Kanpur, India (2010-2012)

• B.Sc.: Sambalpur University,Odisha, India (2006-2009)

Publications

• R. K. Das and R. Alam, Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils {\em Vietnam Journal of Mathematics, 48 (2020), pp. 865–891.}

• R. K. Das and R. Alam, Structured strong linearizations of structured rational matrices {\em Linear And MultiLinear Algebra, 2021, pp. 1-34.}

• 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.

• 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.

• 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.