Results 21 to 30 of about 65 (65)

Orthogonal polynomials and measures on the unit circle. The Geronimus transformations [PDF]

, 2010
12 pages, no figures.-- MSC2000 codes: 42C05, 15A23.-- Published in Special Issue dedicated to William B. Gragg on the occasion of his 70th birthday.In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle ...
Hernández, Javier, Marcellán, Francisco, Marcellán, F., Garza, Luis, Garza, L., Marcellán Español, Francisco José, Hernández, J.   +6 more
core   +1 more source

Linear spectral transformations and Laurent polynomials [PDF]

, 2009
17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention
Marcellán, Francisco, Garza, Luis, Marcellán Español, Francisco José   +2 more
core   +1 more source

Spectral transformations for Hermitian Toeplitz matrices [PDF]

, 2007
22 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2319946 (2008c:42025)Zbl#: Zbl 1131.42301In this paper we deal with some perturbations of probability measures supported on the unit circle as well as, in a more general framework, with Hermitian
Hernández, Javier, Marcellán, Francisco, Marcellán Español, Francisco José, Daruis, Leyla   +3 more
core   +1 more source

Szegö transformations and rational spectral transformations for associated polynomials

, 2009
9 pages, no figures.-- MSC2000 codes: 42C05, 15A23.In this contribution we analyze rational spectral transformations related to associated polynomials with respect to probability measures supported on the interval [−1, 1].
Marcellán, Francisco, Marcellán, F., Garza, Luis, Garza, L., Marcellán Español, Francisco José   +4 more
core   +1 more source

A new algorithm for computing the Geronimus transformation with large shifts [PDF]

, 2009
39 pages, no figures.-- MSC2000 codes: 15A21, 15A23, 05A05, 05B25.-- Full-text paper available Open access at the journal site.Article in press.A monic Jacobi matrix is a tridiagonal matrix which contains the parameters of the three-term recurrence ...
Deaño Cabrera, Alfredo, Tavernetti, Edward, Bueno, M. Isabel, Bueno, Maria Isabel, Bueno Cachadiña, María Isabel, Maria Isabel Bueno Cachadina, Alfredo Deaño, Deaño, Alfredo, Edward Tavernetti   +8 more
core   +1 more source

Christoffel transforms and Hermitian linear functionals [PDF]

, 2005
8 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.MR#: MR2192525 (2006h:42044)Zbl#: Zbl 1121.42017In this contribution we are focused on some spectral transformations of Hermitian linear functionals.
Hernández, Javier, Marcellán, Francisco, Marcellán Español, Francisco José   +2 more
core   +1 more source

Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
There is an interesting analogy between the description of the real square roots of 3×3 matrices and the zeros of the (depressed) real quartic polynomials.
Anghel Nicolae
doaj   +1 more source

Darboux transformation and perturbation of linear functionals [PDF]

, 2004
28 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2055354 (2005b:15027)Zbl#: Zbl 1055.42016Let L be a quasi-definite linear functional defined on the linear space of polynomials with real coefficients.
Bueno, M. Isabel, Marcellán, Francisco, Marcellán, F., Bueno Cachadiña, María Isabel, Marcellán Español, Francisco José, Bueno, M.I.   +5 more
core   +1 more source

Szegö transformations and Nth order associated polynomials on the unit circle

, 2009
13 pages, no figures.-- MSC2000 codes: 42C05, 15A23.In this paper we analyze the Stieltjes functions defined by the Szegö inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of ...
Marcellán, Francisco, Marcellán, F., Garza, Luis, Garza, L., Marcellán Español, Francisco José   +4 more
core   +1 more source

The hyperbolic CS decomposition of tensors based on the C-product

Open Mathematics
This paper studies the issues about the hyperbolic CS decomposition of tensors under the C-product. The aim of this paper is fourfold. Firstly, we establish the CS decomposition of a complex unitary tensor, including the thin version and the standard ...
Jin Hongwei, Chen Siran, Benítez Julio
doaj   +1 more source