Results 21 to 30 of about 69 (67)

Spectral transformations for Hermitian Toeplitz matrices [PDF]

open access: yes, 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   +3 more
core   +1 more source

Non standard orthogonal polynomials. Applications in Numerical Analysis and Approximation Theory [PDF]

open access: yes, 2006
17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.Zbl#: Zbl 1125.33007[ES] En esta contribución presentamos un sumario de recientes resultados sobre aplicaciones de la teoría de polinomios ortogonales no estándar (en particular, asociados a medidas ...
Marcellán Español, Francisco José
core   +2 more sources

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

open access: yes, 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   +8 more
core   +1 more source

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

open access: yesAnalele 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

Christoffel transforms and Hermitian linear functionals [PDF]

open access: yes, 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   +2 more
core   +1 more source

Darboux transformation and perturbation of linear functionals [PDF]

open access: yes, 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   +5 more
core   +1 more source

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

open access: yesOpen 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

Evaluating AT,S(2)A_{T,S}^{\left( 2 \right)} Matrix Inverses from full-rank Singular Value Decomposition

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Based on the compact SVD decomposition of the full rank of a predetermined matrix M, a method for calculating the inverses AT,S(2)A_{T,S}^{\left( 2 \right)} of matrix A is derived. As a consequence, the advantages of compact single value decompositions
Stanimirović Ivan
doaj   +1 more source

Recent trends on analytic properties of matrix orthonormal polynomials

open access: yes, 2008
. In this paper we give an overview of recent results on analytic properties of matrix orthonormal polynomials. We focus our attention on the distribution of their zeros as well as on the asymptotic behavior of such polynomials under some restrictions ...
F. Marcellán, H. O. Yakhlef
core  

ROBUST SELECTIVE GRAM-SCHMIDT

open access: yes, 2008
. A new criterion for selective reorthogonalization in the Gram-Schmidt procedure is given. We establish its comportment in presence of rounding errors when the criterion is used with modified Gram-Schmidt algorithm and show counter-example matrices ...
Luc Giraud, Julien Langou
core  

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