Results 11 to 20 of about 72 (70)
Szegö transformations and rational spectral transformations for associated polynomials [PDF]
, 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 +2 more
core +1 more source
Polynomial perturbations of bilinear functionals and Hessenberg matrices [PDF]
, 2006 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 +3 more
core +1 more source
Spectral transformations of measures supported on the unit circle and the Szegö transformation [PDF]
, 2008 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
Maximizing the determinant for a special class of block‐partitioned matrices
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 49-61, 2004., 2004 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
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2873-2885, 2003., 2003 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]
, 1997 . 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
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 +3 more
core +1 more source
Geronimus spectral transforms and measures on the complex plane [PDF]
, 2008 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 +2 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 +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 +3 more
core +1 more source