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Research Interests:

 

  • Scientific computing and numerical linear algebra.
     
  • Matrix theory, structured matrices, matrices with quasiseparable structure.
     
  • Applications to signal processing and control theory.

     

     

     

    Research Projects and Talks:

     

  • Inversion of quasiseparable Vandermonde-like matrices via displacement operator, Vadim Olshevsky and Sirani Perera, preprint
    (PDF)

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  • Inversion of quasiseparable Laurent Vandermonde matrices via Green's matrices, Tom Bella, Vadim Olshevsky and Sirani Perera, Preprint (PDF)

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  • Euclid in matrix form as a special case of GKO, OS and HO algorithms, Vadim Olshevsky, Sirani Perera and Pavel Zhlobich, Finalizing

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  • Iterative and Fast algorithms for Discrete Cosine and Discrete Sine Transformations having unitary factors, Vadim Olshevsky and
    Sirani Perera, In Progress

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  • 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