Tom Bella
Department of Mathematics
 

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My Schedule

September 2014
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Wednesday, September 3rd, 2014
 
No school.


Office Hours in Lippitt 101D

Tuesday   1:00pm - 2:30pm  
Thursday   1:00pm - 2:30pm  

      From June 3rd-7th, URI is hosting the 18th annual meeting of the International Linear Algebra Society in Providence. I am chairing the Local Organizing Committee and co-chairing the Scientific Organizing Committee.


  Research Interests     [+]

My current research interests include:
  1. Scientific computing and numerical linear algebra.
  2. Matrix theory, structured matrices, matrices with quasiseparable structure.
  3. Indefinite inner product spaces.
  4. Signal processing and control theory.
  5. Algebraic coding theory.



  Publications     [+]

In Preparation
    A QR algorithm for out-of-band quasiseparable matrices (with Y. Eidelman, I. Gohberg, V. Olshevsky), in preparation
    Quasiseparable-Totally Nonnegative Matrices and Accurate Computations (with F. Dopico, V. Olshevsky), in preparation
    Fast algorithms for multiplication of a quasiseparable matrix by a vector (with V. Olshevsky, M. Stewart), in preparation
    Using unitary Hessenberg matrices to factor projectors (with V. Olshevsky, A. Phillips), in preparation
Submitted
    Classifications of three-term and two-term recurrence relations via subclasses of quasiseparable matrices (with Y. Eidelman, I. Gohberg, V. Olshevsky), submitted to SIAM Journal of Matrix Analysis (SIMAX)
2014
    The spectral connection matrix for classical orthogonal polynomials of a single parameter (with J. Reis), Linear Algebra and Its Applications, Volume 458, 1 October 2014, Pages 161182 (2014)
2013
    Nested Product Decomposition of a Quasiseparable Matrix (with V. Olshevsky, M. Stewart), SIAM. J. Matrix Anal. & Appl., 34(4), 15201555 (2013)
    Fast inversion of polynomial-Vandermonde matrices for polynomial systems related to order one quasiseparable matrices (with Y. Eidelman, I. Gohberg, V. Olshevsky, E. Tyrtyshnikov), Advances in Structured Operator Theory and Related Areas, Operator Theory: Advances and Applications, Vol. 237, Pages 79-106 (referreed according to the standards of the Journal of Integral Equations and Operator Theory), Kaashoek, Marinus A.; Rodman, Leiba; Woerdeman, Hugo J. (Eds.) (2013)
2011
    Classifications of recurrence relations via subclasses of (H,k)-quasiseparable matrices (with V. Olshevsky, P. Zhlobich), Numerical Linear Algebra in Signals, Systems and Control, Lecture Notes in Electrical Engineering, Springer-Verlag, Lecture Notes in Electrical Engineering, Vol. 80, 1st Edition., 23-54 (2011)
    A quasiseparable approach to five-diagonal CMV and companion matrices (with V. Olshevsky, P. Zhlobich), Linear Algebra and its Applications, Volume 434, Issue 4, 15 February 2011, Pages 957-976 (2011)
2010
    A Traub-like algorithm for Hessenberg-quasiseparable-Vandermonde matrices of arbitrary order (with Y. Eidelman, I. Gohberg, V. Olshevsky, E. Tyrtyshnikov, P. Zhlobich), Numerical methods for structured matrices and applications, 127154, Operator Theory: Advances and Applications, 199, Birkhauser Verlag, Basel (2010)
    Signal Flow Graph Approach to Inversion of (H,m)-Quasiseparable Vandermonde Matrices and New Filter Structures (with V. Olshevsky, P. Zhlobich), Linear Algebra and its Applications, Volume 432, Issue 8, 1 April 2010, Pages 2032-2051 (2010)
2009
    A fast Bjorck-Pereyra-type algorithm for solving Hessenberg-quasiseparable-Vandermonde systems (with Y. Eidelman, I. Gohberg, I. Koltracht, V. Olshevsky), SIAM. J. Matrix Anal. & Appl., Volume 31, Issue 2, pp. 790-815 (2009)
2008
    Computations with quasiseparable polynomials and matrices (with Y. Eidelman, I. Gohberg, V. Olshevsky), Theoretical Computer Science, Volume 409, Issue 2, 17 December 2008, Pages 158-179 (2008)
    Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations (with V. Olshevsky, U. Prasad), Linear Algebra and its Applications, Volume 428, Issues 8-9, 15 April 2008, Pages 2130-2176 (2008)
    Ranks of Hadamard Matrices and Equivalence of Sylvester Hadamard and Pseudo-Noise Matrices (with V. Olshevsky, L. Sakhnovich), Recent Advances in Matrix and Operator Theory, 35--46, Oper. Theory Adv. Appl., 179, Birkhauser, Basel, (An updated version containing new results of the conference proceedings in: Proc. SPIE Vol. 5910. in 2005) (2008)
2007
    A Bjorck-Pereyra-type algorithm for Szego-Vandermonde matrices based on properties of unitary Hessenberg matrices (with Y. Eidelman, I. Gohberg, I. Koltracht, V. Olshevsky), Linear Algebra and Applications, Volume 420, Issues 2-3 pp. 634-647 (2007)
2005
    Equivalence of Hadamard matrices and pseudo-noise matrices (with V. Olshevsky, L. Sakhnovich), Advanced Signal Processing Algorithms, Architectures, and Implementations XV, Proceedings of SPIE Volume: 5910, Franklin T. Luk, Editors, 59100V (2005)



 


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