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Nanosystems: Physics, Chemistry, Mathematics, 2020, Volume 11, Issue 1, Pages 25–29
DOI: https://doi.org/10.17586/2220-8054-2020-11-1-25-29 (Mi nano494) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Finite Toda lattice and classical moment problem

A. S. Mikhaylovab, V. S. Mikhaylova

a Saint Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences; Saint Petersburg State University
b Saint Petersburg State University, Saint Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg, 199034 Russia
Full-text PDF (179 kB) Citations (1)
DOI: https://doi.org/10.17586/2220-8054-2020-11-1-25-29
Abstract: We study the problem of computing the solution to finite Toda lattice. Specifically, we describe the evolution of moments of the spectral measure of a Jacobi matrix entering in the Lax pair.
Keywords: Toda lattice, moment problem, Jacobi matrices.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00269_а
Ministry of Education and Science of the Republic of Kazakhstan AP05136197
Volkswagen Foundation
A. S. Mikhaylov and V. S. Mikhaylov were partially supported by RFBR 18-01-00269 and by the Ministry of Education and Science of Republic of Kazakhstan under grant AP05136197 and by Volkswagen Foundation project “From Modeling and Analysis to Approximation”.
Received: 13.01.2020
Revised: 16.01.2020
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. S. Mikhaylov, V. S. Mikhaylov, “Finite Toda lattice and classical moment problem”, Nanosystems: Physics, Chemistry, Mathematics, 11:1 (2020), 25–29
Citation in format AMSBIB
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\by A.~S.~Mikhaylov, V.~S.~Mikhaylov
\paper Finite Toda lattice and classical moment problem
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2020
\vol 11
\issue 1
\pages 25--29
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