Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices

Author(s):  
Anne Boutet de Monvel ◽  
Lech Zielinski
1978 ◽  
Vol 48 ◽  
pp. 31-35
Author(s):  
R. B. Hanson

Several outstanding problems affecting the existing parallaxes should be resolved to form a coherent system for the new General Catalogue proposed by van Altena, as well as to improve luminosity calibrations and other parallax applications. Lutz has reviewed several of these problems, such as: (A) systematic differences between observatories, (B) external error estimates, (C) the absolute zero point, and (D) systematic observational effects (in right ascension, declination, apparent magnitude, etc.). Here we explore the use of cluster and spectroscopic parallaxes, and the distributions of observed parallaxes, to bring new evidence to bear on these classic problems. Several preliminary results have been obtained.


2017 ◽  
Author(s):  
Susan A. Novotny ◽  
Beth Ann Nikolova ◽  
Tonye S. Sylvanus ◽  
Kevin J. Sheridan

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov

Abstract We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein–Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems.


2021 ◽  
Vol 389 ◽  
pp. 113361
Author(s):  
Wei-Ru Xu ◽  
Natália Bebiano ◽  
Guo-Liang Chen

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