Dario Fasino: Research

This is a partial list of my most recent papers:

Numerical Linear Algebra

Spectral properties of Toeplitz-plus-Hankel matrices, Calcolo 33 (1996), 87--98.

Circulative matrices revisited: algebraic properties of a generalization of cyclic matrices, Italian Journal of Pure and Applied Math. 4 (1998), 33--43.

(with P. Tilli) Spectral clustering properties of block multilevel Hankel matrices, Linear Algebra and its Applications 306 (2000), 155--163.

Isospectral flows on displacement structured matrix spaces, in: Structured Matrices: Recent Developments in Theory and Computation, Advances in Computation: Theory and Practice Vol. 4 (D. Bini, P. Yalamov and E. Tyrtyshnikov, Eds.), Nova Science Publ. (2001), 43--58.

(with V. Olshevsky) How bad are symmetric Pick matrices?, in: Structured Matrices in Mathematics, Computer Science, and Engineering I (V. Olshevsky, Ed.), Contemporary Mathematics 280 (2001), 301--311.

Structured conditioning of Cauchy and Vandermonde matrices, Preprint #522, Dipartimento di Matematica dell'Università di Genova, 12/01/2005, pp.17.

(with E. Bozzo and O. Menchi) The componentwise conditioning of the DFT, Calcolo 39 (3):181--187, 2002.

(with L. Gemignani) Direct and inverse eigenvalue problems for diagonal-plus-semiseparable matrices, Numerical Algorithms 34 (2003), 313--324.

(with S. Serra Capizzano) From Toeplitz matrix sequences to zero distribution of orthogonal polynomials, Contemporary Mathematics 323 (2003), 329--339.

(with L. Gemignani) A Lanczos-type algorithm for the QR factorization of regular Cauchy matrices, Numer. Linear Algebra Appl. 9 (2002), 305--319.

(with L. Gemignani) A Lanczos-type algorithm for the QR factorization of Cauchy-like matrices, Contemporary Mathematics 323 (2003), 91--104.

(with L. Gemignani) Structural and computational properties of possibly singular semiseparable matrices, Linear Algebra and its Applications 340 (2002), 183--198.

(with N. Mastronardi and M. Van Barel) Fast and Stable Algorithms for Reducing Diagonal plus Semiseparable Matrices to Tridiagonal and Bidiagonal Form, Contemporary Mathematics 323 (2003), 105--118.

(with L. Gemignani) Fast and stable solution of banded-plus-semiseparable linear systems,Calcolo 39 (2002), 201--217.

Rational Krylov matrices and QR steps on Hermitian diagonal-plus-semiseparable matrices, Numerical Linear Algebra and its Applications, 12 (2005), 743--754.

(with R. Bevilacqua, E. Bozzo and G. Del Corso) Rank structures of generalized inverses of rectangular banded matrices, Calcolo 42 (2005), n. 3-4, 157--169.

A perturbative analysis of the reduction into diagonal-plus-semiseparable form of symmetric matrices, submitted (2007).

The matrix approach to orthogonal rational functions

(with M. Van Barel, L. Gemignani and N. Mastronardi) Orthogonal rational functions and structured matrices, SIAM J. Matrix Analysis and Applications 26:3 (2005), 810--829.

(with M. Van Barel, L. Gemignani and N. Mastronardi) Orthogonal rational functions and diagonal-plus-semiseparable matrices, Advanced Signal Processing Algorithms, Architectures, and Implementations XII (F. Luk, Ed.), SPIE Proceedings, Vol. 4791 (2002), 162--170.

(with L. Gemignani) Structured Eigenvalue Problems for Rational Gauss Quadrature, submitted (2006).

Inverse Problems in PDEs

(with G. Inglese) Recovering unknown terms in a nonlinear boundary condition for Laplace's equation, IMA J. Appl. Math. 71 (2006), 832--852.

(with G. Inglese) Recovering nonlinear terms in an inverse boundary value problem for Laplace's equation: a stability estimate, J. Comput. Appl. Math. 198/2 (2007), 460--470.

(with P. Bison and G. Inglese) Active infrared thermography in nondestructive evaluation, in: Applied and Industrial Mathematics in Italy (M. Primicerio, R. Spigler, V. Valente, Eds.), World Scientific Publ. (2005), 143--154.

(with G. Inglese and F. Mariani) Corrosion detection in conducting boundaries 2: linearization, stability, and discretization, Inverse Problems 23 (2007), 1101--1114.