- Office: Lippitt 101D
- Email: tombella@uri.edu

All math placement inquiries: Click Here

- No office hours for summer.

- Scientific computing and numerical linear algebra.
- Matrix theory, structured matrices, matrices with quasiseparable structure.
- Indefinite inner product spaces.
- Signal processing and control theory.
- Algebraic coding theory.

*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*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)*The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials*(with J. Reis), Mathematics, Special Issue New Trends in Applications of Orthogonal Polynomials and Special Functions, Mathematics 2015, 3, 382-397 (2015)*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 161â€“182 (2014)*Nested Product Decomposition of a Quasiseparable Matrix*(with V. Olshevsky, M. Stewart), SIAM. J. Matrix Anal. & Appl., 34(4), 1520â€“1555 (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)*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)*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, 127â€“154, 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)*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)*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)*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)*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)