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Current Ph.D. students:

Undegraduate students:

  • Andrew Phillips is finishing a paper "Unitary k-Hessenberg matrices and factoring projectors" that extends some results of a recent Beresford Parlett's paper "Another unitary matrix."

Recent papers with students

  • T.Bella, V.Olshevsky and P.Zhlobich, Signal Flow Graphs Approach to Inversion of (H,m)-Quasiseparable Vandermonde Matrices and New Filter Structures , submitted, 2009.
  • T.Bella, V.Olshevsky, P.Zhlobich, A Quasiseparable approach to five-diagonal CMV and companion matrices, 2009, submitted.
  • V.Olshevsky, G.Strang, P.Zhlobich, A Green's matrices approach to five-diagonal CMV and companion matrices, preprint, 2009.
  • Tom Bella, Y.Eidelman, I.Gohberg, V.Olshevsky, E.Tyrtyshnikov, Pavel Zhlobich,, A Traub-like algorithm for Hessenberg-quasiseparable-Vandermonde matrices of arbitrary order , accepted, February 2008.
  • Tom Bella, V.Olshevsky, Pavel Zhlobich, Characterization of (H,m) quasiseparable matrices and their subclasses via recurrence relations and signal flow graphs, February, 2008.
  • Tom Bella, V.Olshevsky and Upendra Prasad, Lipschitz stability of canonical Jordan bases of H-selfadjoint matrices under structure-preserving perturbations, Linear Algebra and its Applications, Volume 428, Issues 8-9, 15 April 2008, Pages 2130-2176.
  • Tom Bella, V.Olshevsky, L. Sakhnovich, Ranks of Hadamard Matrices and Equivalence of Sylvester Hadamard and Pseudo-Noise Matrice, In Recent Advances in Matrix and Operator Theory, Operator Theory: Advances and Applications, Volume 179, p. 35 - 46, Birkhauser Basel, 2008.
  • Tom Bella, Y.Eidelman, I.Gohberg, V.Olshevsky, Computations with quasiseparable polynomials and matrices , submitted, January 2008.
  • V.Olshevsky, Ivan Oseledts, E.Tyrtyshnikov Superfast inversion of two-level Toeplitz matrices using Newton iteration and tensor-displacement structure, In Recent Advances in Matrix and Operator Theory, Operator Theory: Advances and Applications, Volume 179, p. 229 - 240, Birkhäuser Basel, 2008.
  • Tom Bella, Y.Eidelman, I.Gohberg, V.Olshevsky, Characterization of (H,1) quasiseparable matrices and their subclasses via recurrence relations and signal flow graphs, submitted, May, 2007.
  • Tom Bella, Y.Eidelman, I.Gohberg, V.Olshevsky, E.Tyrtyshnikov, Fast inversion of Hessenberg-quasiseparable-Vandermonde matrices and resulting recurrence relations and characterizations, submitted, March 2007.
  • Tom Bella, Y.Eidelman, I.Gohberg, I.Koltracht, V.Olshevsky, A fast Bjorck-Pereyra-type algorithm for solving Quasiseparable-Vandermonde systems, submitted, January 2007.
  • Tom Bella, Y.Eidelman, I.Gohberg, I.Koltracht, V.Olshevsky, A Bjorck-Pereyra-type algorithm for Szego-Vandermonde matrices based on properties of unitary Hessenberg matrices, Linear Algebra and Applications, Volume 420, Issues 2-3 pp. 634-647 (2007)
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