
Office Hours in Lippitt 101D 
 
  From June 3rd7th, URI is hosting the 18th annual meeting of the International Linear Algebra Society in Providence. I am chairing the Local Organizing Committee and cochairing 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.

In Preparation     A QR algorithm for outofband quasiseparable matrices (with Y. Eidelman, I. Gohberg, V. Olshevsky), in preparation     QuasiseparableTotally 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 threeterm and twoterm 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, 382397 (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 polynomialVandermonde 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 79106 (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, SpringerVerlag, Lecture Notes in Electrical Engineering, Vol. 80, 1st Edition., 2354 (2011)     A quasiseparable approach to fivediagonal CMV and companion matrices (with V. Olshevsky, P. Zhlobich), Linear Algebra and its Applications, Volume 434, Issue 4, 15 February 2011, Pages 957976 (2011)  2010     A Traublike algorithm for HessenbergquasiseparableVandermonde 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 20322051 (2010)  2009     A fast BjorckPereyratype algorithm for solving HessenbergquasiseparableVandermonde systems (with Y. Eidelman, I. Gohberg, I. Koltracht, V. Olshevsky), SIAM. J. Matrix Anal. & Appl., Volume 31, Issue 2, pp. 790815 (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 158179 (2008)     Lipschitz stability of canonical Jordan bases of Hselfadjoint matrices under structurepreserving perturbations (with V. Olshevsky, U. Prasad), Linear Algebra and its Applications, Volume 428, Issues 89, 15 April 2008, Pages 21302176 (2008)     Ranks of Hadamard Matrices and Equivalence of Sylvester Hadamard and PseudoNoise Matrices (with V. Olshevsky, L. Sakhnovich), Recent Advances in Matrix and Operator Theory, 3546, 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 BjorckPereyratype algorithm for SzegoVandermonde matrices based on properties of unitary Hessenberg matrices (with Y. Eidelman, I. Gohberg, I. Koltracht, V. Olshevsky), Linear Algebra and Applications, Volume 420, Issues 23 pp. 634647 (2007)  2005     Equivalence of Hadamard matrices and pseudonoise 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) 

 