On a shifted \(LR\) transformation derived from the discrete hungry Toda equation
DOI10.1007/s00605-012-0404-yzbMath1311.65036OpenAlexW2037754607MaRDI QIDQ1945803
Emiko Ishiwata, Masashi Iwasaki, Akiko Fukuda, Yusaku Yamamoto, Yoshimasa Nakamura
Publication date: 9 April 2013
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-012-0404-y
numerical exampleconvergence accelerationtotally nonnegative matrixmatrix eigenvaluesdiscrete hungry Toda equationshift of origin\(LR\) transformation
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Positive matrices and their generalizations; cones of matrices (15B48) Dynamical systems in numerical analysis (37N30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A Bäcklund transformation between two integrable discrete hungry systems
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- Integrable discrete hungry systems and their related matrix eigenvalues
- Toda-type cellular automaton and its \(N\)-soliton solution
- Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
- Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
- Über eine kubisch konvergente Variante der LR‐Transformation
- Totally positive matrices
- Interlacing inequalities for totally nonnegative matrices
