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.

A QR algorithm for out-of-band quasiseparable matrices (with Y. Eidelman, I. Gohberg, V. Olshevsky), in preparation

Basis conversions for orthogonal polynomials using quasiseparable matrices (with J. Reis), 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)

To Appear

Nested Product Decomposition of a Quasiseparable Matrix (with V. Olshevsky, M. Stewart), SIAM. J. Matrix Anal. & Appl., to appear, 2013

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)