Polynomial perturbations of bilinear functionals and Hessenberg matrices [PDF]
20 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2209234 (2008c:42024)Zbl#: Zbl 1134.42015This paper deals with symmetric and non-symmetric polynomial perturbations of symmetric quasi-definite bilinear functionals.
Bueno, M. Isabel +5 more
core +1 more source
Spectral transformations of measures supported on the unit circle and the Szegö transformation [PDF]
17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.MR#: MR2457097 (2009k:42046)Zbl#: Zbl 1169.42009In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations
Hernández, Javier +3 more
core +1 more source
Szegö transformations and Nth order associated polynomials on the unit circle [PDF]
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 +4 more
core +1 more source
On the q-Lie group of q-Appell polynomial matrices and related factorizations
In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
doaj +1 more source
Maximizing the determinant for a special class of block‐partitioned matrices
An analytical solution is found for the maximum determinant of a block‐partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.
Otilia Popescu +2 more
wiley +1 more source
Algorithm of J‐factorization of rational matrices with zeros and poles on the imaginary axis
The problem of J‐factorization of rational matrices, which have zeros and poles on the imaginary axis, is reduced to construction of the solutions of two algebraic Riccati equations. For construction of these solutions, it is offered to use appropriate algorithms.
Vladimir B. Larin
wiley +1 more source
Approximating Runge-Kutta Matrices By Triangular Matrices [PDF]
. The implementation of implicit Runge--Kutta methods requires the solution of large systems of non-linear equations. Normally these equations are solved by a modified Newton process, which can be very expensive for problems of high dimension.
Hoffmann, W. (Walter) +5 more
core +1 more source
Geronimus spectral transforms and measures on the complex plane [PDF]
16 pages, no figures.-- MSC2000 codes: 42C05; 15A23.MR#: MR2441238 (2009k:42053)Zbl#: Zbl 1149.42019We analyze a special spectral transform of a measure $\mu $ supported on a compact subset $C$ of the complex plane. A perturbation $\mu _{1}$ of $\mu $ is
Hernández, Javier +4 more
core +1 more source
Orthogonal polynomials and measures on the unit circle. The Geronimus transformations [PDF]
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 +6 more
core +1 more source
Linear spectral transformations and Laurent polynomials [PDF]
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 +2 more
core +1 more source

