Multilevel interpolation of a Nikishin system and boundedness of the Jacobi matrices on a binary tree

2021 ◽  
Vol 76 (4) ◽  
Author(s):  
Alexander Ivanovich Aptekarev ◽  
Vladimir Genrikhovich Lysov
Keyword(s):  
Binary Tree ◽  
Jacobi Matrices ◽  
Nikishin System

Seamless terrain rendering method based on binary tree and GPU

2013 ◽  
Vol 32 (9) ◽  
pp. 2548-2552
Author(s):  
Wei CAO ◽  
Guang-yao DUAN
Keyword(s):  
Binary Tree ◽  
Terrain Rendering

Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov
Keyword(s):  
Dynamical System ◽  
Inverse Problems ◽  
Jacobi Matrix ◽  
Jacobi Matrices ◽  
Unknown Parameters ◽  
Stieltjes String ◽  
Propagation Of Waves ◽  
Dynamic Inverse

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.

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