Premium
Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix
Author(s) -
Sun JianQing,
Hu XingBiao,
Tam HonWah
Publication year - 2011
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.754
Subject(s) - mathematics , eigenvalues and eigenvectors , matrix (chemical analysis) , algebra over a field , integrable system , matrix differential equation , representation (politics) , algorithm , pure mathematics , mathematical analysis , differential equation , materials science , physics , quantum mechanics , politics , political science , law , composite material
This paper is motivated by some recent work of Fukuda, Ishiwata, Iwasaki, and Nakamura ( Inverse Problems 2009; 25 :015007). We first design an algorithm for computing the eigenvalues of a specially structured matrix from the discrete Bogoyavlensky Lattice 2 (dBL2) system. A Lax representation for the dBL2 system is given in a matrix form. By considering the asymptotic behavior of dBL2 variables, some characteristic polynomials are then factorized. A new algorithm for computing the complex eigenvalues of a specially structured matrix is then introduced. Copyright © 2010 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom