|Office Hours in Lippitt 101D|
| ||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.|
My current research interests include:
- 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||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)||2015|
| || ||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)||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 161–182 (2014)||2013|
| || ||Nested Product Decomposition of a Quasiseparable Matrix (with V. Olshevsky, M. Stewart), SIAM. J. Matrix Anal. & Appl., 34(4), 1520–1555 (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)||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, 127–154, 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)||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)|