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Current Ph.D. students:
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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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