Zobrazeno 1 - 10
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pro vyhledávání: '"Charles T. Fulton"'
Autor:
Stephen Pruess, Charles T. Fulton
Publikováno v:
Fourier analysis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b5f60746acd5ea7133b61c4b952526a
https://doi.org/10.1201/9781003072133-8
https://doi.org/10.1201/9781003072133-8
Autor:
Heinz Langer, Charles T. Fulton
Publikováno v:
Complex Analysis and Operator Theory. 4:179-243
The Titchmarsh–Weyl function, which was introduced in Fulton (Math Nachr 281(10):1418–1475, 2008) for the Sturm-Liouville equation with a hydrogen-like potential on (0, ∞), is shown to belong to a generalized Nevanlinna class $${\bf N_\kappa}$$
Autor:
Charles T. Fulton
Publikováno v:
Mathematische Nachrichten. 281:1418-1475
In this paper we consider some cases of Sturm–Liouville problems with two singular endpoints at x = 0 and x = ∞ which have a simple spectrum, and show that the simplicity of the spectrum can be built into the definition of a Titchmarsh–Weyl m -
Publikováno v:
ACM Transactions on Mathematical Software. 34:1-33
On cache based computer architectures using current standard algorithms, Householder bidiagonalization requires a significant portion of the execution time for computing matrix singular values and vectors. In this paper we reorganize the sequence of
Publikováno v:
Journal of Computational and Applied Mathematics. 212:194-213
A generalization is given for a characterization of the spectral density function of Weyl and Titchmarsh for a singular Sturm–Liouville problem having absolutely continuous spectrum in [0,∞). A recurrent formulation is derived that generates a fa
Publikováno v:
Journal of Computational and Applied Mathematics. 176(1):131-162
Algorithms for computing Sturm–Liouville spectral density functions are developed based on several mathematical characterizations. Convergence and error bounds are derived and methods are tested on several examples. The results are compared with th
Autor:
Steven Pruess, Charles T. Fulton
Publikováno v:
ACM Transactions on Mathematical Software. 24:107-129
The software package SLEDGE has as one of its options the estimation of spectral density functions p(t) for a wide class of singular Strurm-Liouville problems. In this article the underlaying theory and implementation issues are discussed. Several ex
Autor:
Limin Wu, Charles T. Fulton
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 30:5033-5040
Characterization of the spectral density function for a one-sided tridiagonal Jacobi matrix operator
In this paper we give a first order system of difference equations which provides a useful companion system in the study of Jacobi matrix operators and make use of it to obtain a characterization of the spectral density function for a simple case inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ed55e3200fe418050c8357be0f6dc27
https://doi.org/10.3934/proc.2013.2013.247
https://doi.org/10.3934/proc.2013.2013.247
In this paper we consider the Sturm-Liouville equation -y"+qy = lambda*y on the half line (0,infinity) under the assumptions that x=0 is a regular singular point and nonoscillatory for all real lambda, and that either (i) q is L_1 near x=infinity, or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::304ea156a48b16dde89bf549a6146f2b