Found 78 Documents (Results 1–78)
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum. (English) Zbl 1520.37045
Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011
Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm. (English) Zbl 1510.37113
The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts. (English) Zbl 1491.37019
MSC:
37B15
Space of isospectral periodic tridiagonal matrices. (English) Zbl 1477.57030
Reviewer: Michael J. Falk (Flagstaff)
Lie-Poisson methods for isospectral flows. (English) Zbl 1450.37073
Reviewer: Bülent Karasözen (Ankara)
Three lectures on “Fifty years of KdV: an integrable system”. (English) Zbl 1461.37070
Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 3-38 (2019).
Reviewer: Jonathan Eckhardt (Loughborough)
The extrinsic geometry of dynamical systems tracking nonlinear matrix projections. (English) Zbl 07099843
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions. (English) Zbl 1414.82007
Reviewer: Hasan Akin (Gaziantep)
On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems. (English) Zbl 1392.65066
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix. (English) Zbl 1454.60012
Phase portraits of the full symmetric Toda systems on rank-2 groups. (English. Russian original) Zbl 1383.37045
Theor. Math. Phys. 193, No. 2, 1574-1592 (2017); translation from Teor. Mat. Fiz. 193, No. 2, 193-213 (2017).
Geometry of matrix decompositions seen through optimal transport and information geometry. (English) Zbl 1368.15010
Bruhat order in the full symmetric \(\mathfrak{sl}_n\) Toda lattice on partial flag space. (English) Zbl 1391.37045
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix. (English) Zbl 1300.65020
Bruhat order in full symmetric Toda system. (English) Zbl 1305.37030
Reviewer: Natalia Bondarenko (Saratov)
Extreme gaps between eigenvalues of random matrices. (English) Zbl 1282.60008
Reviewer: Zakhar Kabluchko (Ulm)
Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials. (English) Zbl 1244.82065
Spectral properties of certain tridiagonal matrices. (English) Zbl 1232.15007
Reviewer: Grozio Stanilov (Sofia)
The asymptotics of Wilkinson’s shift: Loss of cubic convergence. (English) Zbl 1187.65035
Reviewer: Jiri Náprstek (Praha)
An atlas for tridiagonal isospectral manifolds. (English) Zbl 1144.65025
Reviewer: R. Militaru (Craiova)
Lie algebraic aspects of the finite nonperiodic Toda flows. (English) Zbl 1120.37044
Reviewer: Radu Precup (Cluj-Napoca)
Preserving Poisson structure and orthogonality in numerical integration of differential equations. (English) Zbl 1067.65145
Reviewer: Werner M. Seiler (Heidelberg)
The continuous-time Rayleigh quotient flow on the sphere. (English) Zbl 1030.65025
Reviewer: Amin Boumenir (Carrollton)
MSC:
65F15
Parameterization by polytopes of intersections of orbits by conjugation. (English) Zbl 1031.37060
Reviewer: Xianguo Geng (Zhengzhou)
MSC:
37K10
On matrix differential equations and abstract FG algorithm. (English) Zbl 1042.34021
Reviewer: Messoud A. Efendiev (Berlin)
Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh. (English) Zbl 0964.37042
Reviewer: Robert Carroll (Urbana)
MSC:
37K05
37K10
An implementation of the dqds algorithm (positive case). (English) Zbl 0952.65031
Reviewer: F.Szidarovszky (Tucson)
MSC:
65F15
Numerical procedures based on Runge-Kutta methods for solving isospectral flows. (English) Zbl 0904.65074
Reviewer: N.Vulchanov (Sofia)
Numerical solution of isospectral flows. (English) Zbl 0907.65067
Reviewer: E.Hairer (Genève)
Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems. (English) Zbl 0884.65084
Reviewer: W.M.Seiler (Karlsruhe)
Isospectral flows expressed in multiple bracket forms. (English) Zbl 0889.58043
Reviewer: G.Zet (Iaşi)
On matrix structures invariant under Toda-like isospectral flows. (English) Zbl 0870.15005
Reviewer: N.D.Sengupta (Bombay)
Explicit integration of the full symmetric Toda hierarchy and the sorting property. (English) Zbl 0853.58062
Reviewer: Li Jibin (Kunming)
Scaled Toda-like flows. (English) Zbl 0818.65063
Reviewer: K.Burrage (Brisbane)
A parallel processed scheme for the eigenproblem of positive definite matrices. (English) Zbl 0823.65039
Reviewer: A.Ruhe (Göteborg)
Isospectral deformations of random Jacobi operators. (English) Zbl 0768.58038
Reviewer: C.S.Sharma (London)
Completely integrable gradient flows. (English) Zbl 0766.58027
Reviewer: Walter Oevel (Loughborough)
Singular-value decomposition via gradient and self-equivalent flows. (English) Zbl 0763.65022
Reviewer: M.Vajterśic (Bratislava)
A new nonlinear dynamical system that leads to eigenvalues. (English) Zbl 0757.58020
Reviewer: Sheng Liren (Hefei)
Matrix differential equations: A continuous realization process for linear algebra problems. (English) Zbl 0773.34007
Reviewer: L.Elsner (Bielefeld)
Isospectral flows on symmetric matrices and the Riccati equation. (English) Zbl 0732.93045
MSC:
93C25
Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems. (English) Zbl 0719.90045
Reviewer: T.F.Filippova (Sverdlovsk)
A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map. (English) Zbl 0715.58033
Reviewer: J.Chrastina
A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra. (English) Zbl 0715.58004
Reviewer: A.Dimca
An interactive method for the eigenvalue problem for matrices. (English) Zbl 0696.65035
Reviewer: H.Ratschek
The QR-algorithm and generalized Toda flows. (English. Russian original) Zbl 0699.58057
Ukr. Math. J. 41, No. 7, 806-813 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 944-952 (1989).
Reviewer: P.Prešnajder
Self-equivalent flows associated with the generalized eigenvalue problem. (English) Zbl 0684.65037
Reviewer: D.Herceg
QR-type factorizations, the Yang-Baxter equation, and an eigenvalue problem of control theory. (English) Zbl 0678.93007
Self-similar flows. (English) Zbl 0666.15008
Reviewer: B.Reichstein
The geometry of matrix eigenvalue methods. (English) Zbl 0639.34046
Reviewer: U.D’Ambrosio
Curves on \(S^{n-1}\) that lead to eigenvalues or their means of a matrix. (English) Zbl 0604.58034
Reviewer: A.Dimca
A differential equation approach to the singular value decomposition of bidiagonal matrices. (English) Zbl 0601.15005
Reviewer: M.de la Sen
A continuous approximation to the generalized Schur decomposition. (English) Zbl 0595.15010
Reviewer: F.Uhlig
Toda flows with infinitely many variables. (English) Zbl 0615.58016
Reviewer: D.Robert
The Toda flow on a generic orbit is integrable. (English) Zbl 0552.58017
Reviewer: K.Furutani
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