**Research Interests:**

- Numerical linear algebra and Scientific computing.
- Matrix theory, Structured matrices, Matrices with displacement structure.
- FFT, DFT, DCT, and DST.
- Image processing and Signal processing.

## Presentations:

*Signal Flow Design based on Efficient Discrete Sine Transform Algorithms*, 20^{th}Conference of the International Linear Algebra Society, KU Leuven, Belgium, 2016*Quasiseparable Approach to A Fast Schur-Euclidtype Algorithm*, The International Industrial Mathematics Conference, University of Sri Jayewardenepura, Sri Lanka, 2016*Recursive, Orthogonal, Radix-2, Stable Dct-Dst Algorithms and Applications*, SIAM Conference on Applied Linear Algebra , Georgia, USA, 2015*A Fast Euclid-type Algorithm for Quasiseparable Polynomials*, Applications of Computer Algebra Conference , Kalamatha, Greece, 2015*Image Compression and Signal Transform Designs Based on Fast and Stable Discrete Cosine and Sine Transformation Algorithms*, SIAM Conference on Control and Its Applications , Paris, France, 2015*Signal Flow Design Approach to Orthogonal Radix-2 DCT-DST Algorithms*, 39^{th}Annual SIAM Southeastern Atlantic Section Conference , University of Alabama at Birmingham, USA, 2015*Stable, Recursive and Fast Algorithms for DCT I-IV and DST I-IV having Orthogonal Factors*, 38^{th}Annual SIAM Southeastern Atlantic Section Conference , Florida Institute of Technology, USA, 2014*Stable Discrete Fourier Transformation Algorithms and Applications*, Guest Talk in Mathematics, University of Sri Jayewardenepura , Sri Lanka, 2014*Fast, recursive and numerically stable algorithms for Discrete Sine Transformations I-IV having orthogonal factors*, Applied Mathematics, Modelling and Computational Sciences Conference , Wilfrid Laurier University, Waterloo, Canada, 2013*Beauty of structured matrices and their applications*, Math Club Talk, Daytona State College, FL, USA, 2013*A fast Traub-like inversion algorithm for Laurent Vandermonde matrices*, , 37^{th}Annual SIAM Southeastern Atlantic Section Conference , Oak Ridge National Laboratory and the University of Tennessee-Knoxville, USA, 2013*Inversion of Laurent Vandermonde-like matrices*, Math Faculty Seminar, Daytona State College, FL, USA, 2012*Fast, Recursive and Stable algorithms for Discrete Sine Transformations having Orthogonal factors*, 2012 Numerical Analysis Day, University of Massachusetts, MA, USA, 2012 (poster)*Inversion of quasiseparable Vandermonde-like matrices*, Mini-symposia for SIAM SEAS 2012, 36^{th}Annual SIAM Southeastern Atlantic Section Conference, University of Alabama, USA, 2012-
*Inversion of quasiseparable Vandermone-like matrices*, Young Researches in Mathematics 2012, University of Bristol, UK, 2012 *Inversion of Power Vandermonde matrices*, Woman in Mathematics in New England, Smith College, RI, USA, 2011*Inversion of quasiseparable Vandermone-like matrices*, SIGMA Seminar, University of Connecticut, Storrs, USA, 2011

## Papers:

- Design and Digital Implemantation of Fast and Recursive DCT II-IV Algorithms, with Arjuna Madanayake, Nathan Dornback, and Nilan Udayanga, in preparation
- Trigonometry for College Students, with David Ferrone, in preparation
- Signal Flow Graph Approach to Efficient and Forward Stable DST Algorithms, submitted
- Signal Processing based on Stable radix-2 DCT I-IV Algorithms having Orthogonal Factors, Electronic Journal of Linear Algebra 31 , 362-380, (2016)
- A Fast Euclid-type Algorithm for Quasiseparable Polynomials, with Vadim Olshevsky, Springer Proceedings in Mathematics and Statistics series, proceedings of Applied Computer Algebra conference, Kalamatha, Greece, accepted, (2016)
- A Traub-like Inversion Algorithm for Laurent Vandermonde matrices via Green’s matrices, with Tom Bella and Vadim Olshevsky, preprint
- Fast and Stable Algorithms for Discrete Sine Transformations having Orthogonal Factors, with Vadim Olshevsky, Cojocaru, Monica, et al., eds. Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Vol. 117. Springer , (2015)
- A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices , with Grigory Bonik and Vadim Olshevsky, arXiv:1401.1874 [math.NA] (2014)
- Stable, Recursive and Fast Algorithms for Discrete Sine Transformations I-IV having Orthogonal Factors , with Vadim Olshevsky, Journal of Coupled Systems and Mutiscale Dynamics, 1, 358-371 (2013)

## Thesis and Project:

- Quasiseparable Approach to Matrices of Vandermonde Type, with Vadim Olshevsky, ProQuest Publications, 2012
- Polynomial Rings, with Menaka Liyanage and Sunethra Weerakoon, Vidyodaya Publications, 2004
- Study on Shrinkage of Poly-Vinyl-Chloride Fittings, with Menaka Liyanage and Sunethra Weerakoon, Vidyodaya Publications, 2002