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Volumn 6, Issue 1, 2006, Pages 121-144

On an isospectral lie-poisson system and its lie algebra

Author keywords

Faithful representations; Isospectral flows; Lie algebra; Poisson system

Indexed keywords

FAITHFUL REPRESENTATIONS; ISOSPECTRAL FLOWS; LIE ALGEBRA; LIE-POISSON SYSTEMS; MATRIX DIFFERENTIAL SYSTEMS; POISSON SYSTEM; PRACTICAL PROBLEMS; SYMBOLIC ALGORITHMS;

EID: 31944438216     PISSN: 16153375     EISSN: 16153383     Source Type: Journal    
DOI: 10.1007/s10208-005-0173-2     Document Type: Article
Times cited : (18)

References (24)
  • 1
    • 21144453106 scopus 로고    scopus 로고
    • On the optimality of double-bracket flows
    • A. M. Bloch and A. Iserles, On the optimality of double-bracket flows, Int. J. Math. Math. Sci. 15 (2005), 793-801.
    • (2005) Int. J. Math. Math. Sci. , vol.15 , pp. 793-801
    • Bloch, A.M.1    Iserles, A.2
  • 2
    • 0031521664 scopus 로고    scopus 로고
    • Double bracket equations and geodesic flows on symmetric spaces
    • A. M. Bloch, R. W. Brockett, and P. E. Crouch, Double bracket equations and geodesic flows on symmetric spaces, Comm. Math. Phys. 187 (1997), 357-373.
    • (1997) Comm. Math. Phys. , vol.187 , pp. 357-373
    • Bloch, A.M.1    Brockett, R.W.2    Crouch, P.E.3
  • 4
    • 84876613469 scopus 로고    scopus 로고
    • A class of integrable geodesic flows on the symplectic group
    • University of Cambridge. To appear
    • A. M. Bloch, A. Iserles, J. E. Marsden, and T. S. Ratiu, A class of integrable geodesic flows on the symplectic group, Technical Report, University of Cambridge. To appear.
    • Technical Report
    • Bloch, A.M.1    Iserles, A.2    Marsden, J.E.3    Ratiu, T.S.4
  • 5
    • 0002412868 scopus 로고
    • Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
    • R. W. Brockelt, Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems, Linear Algebra Appl. 146 (1991), 79-91.
    • (1991) Linear Algebra Appl. , vol.146 , pp. 79-91
    • Brockelt, R.W.1
  • 6
    • 0346928644 scopus 로고
    • Matrix differential equations: A continuous realization process for linear algebra problems
    • M. T. Chu, Matrix differential equations: A continuous realization process for linear algebra problems, Nonlinear Anal. 18 (1992), 1125-1146.
    • (1992) Nonlinear Anal. , vol.18 , pp. 1125-1146
    • Chu, M.T.1
  • 7
    • 0003062726 scopus 로고
    • A list of matrix flows with applications
    • Fields Inst. Commun., Amer. Math. Soc., Providence, RI
    • M. T. Chu, A list of matrix flows with applications, in Hamiltonian and Gradient Flaws, Algorithms and Control, Fields Inst. Commun., No. 3, Amer. Math. Soc., Providence, RI, 1994, pp. 87-97.
    • (1994) Hamiltonian and Gradient Flaws, Algorithms and Control , Issue.3 , pp. 87-97
    • Chu, M.T.1
  • 8
    • 0041198623 scopus 로고
    • Constructing symmetric nonnegative matrices with prescribed eigenvalues by differential equations
    • M. T. Chu and K. R. Driessel, Constructing symmetric nonnegative matrices with prescribed eigenvalues by differential equations, SIAM J. Math. Anal. 22 (1991), 1372-1387.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1372-1387
    • Chu, M.T.1    Driessel, K.R.2
  • 10
    • 0002553195 scopus 로고
    • Ordinary differential equations and the symmetric eigenvalue problem
    • P. Deift, T. Nanda, and C. Tomei, Ordinary differential equations and the symmetric eigenvalue problem, SIAM J. Numer: Anal. 20 (1983), 1-22.
    • (1983) SIAM J. Numer: Anal. , vol.20 , pp. 1-22
    • Deift, P.1    Nanda, T.2    Tomei, C.3
  • 11
    • 0035733382 scopus 로고    scopus 로고
    • Numerical integration of Lie-poisson systems while preserving coadjoint orbits and energy
    • K. Engø and S. Faltinsen, Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy, SIAM J. Numer. Anal. 39 (2001), 128-145.
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 128-145
    • Engø, K.1    Faltinsen, S.2
  • 12
    • 25344451956 scopus 로고
    • The Toda lattice
    • H. Flaschka, The Toda lattice, Phys. Rev. B 9 (1974), 1924-1925.
    • (1974) Phys. Rev. B , vol.9 , pp. 1924-1925
    • Flaschka, H.1
  • 15
    • 34249765469 scopus 로고
    • Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
    • D. Lewis and J. C. Simo, Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups, J. Nonlinear Sci. 4 (1994), 253-299.
    • (1994) J. Nonlinear Sci. , vol.4 , pp. 253-299
    • Lewis, D.1    Simo, J.C.2
  • 16
    • 33748853933 scopus 로고
    • Note on the integration of Euler's equations of the dynamics of an n-dimensional rigid body
    • S. V. Manakov, Note on the integration of Euler's equations of the dynamics of an n-dimensional rigid body, Funct. Anal. Appl. 10 (1976), 328-329.
    • (1976) Funct. Anal. Appl. , vol.10 , pp. 328-329
    • Manakov, S.V.1
  • 19
    • 0000896226 scopus 로고
    • The motion of the free n-dimensional rigid body
    • T. Ratiu, The motion of the free n-dimensional rigid body, Indiana Univ. Math. J. 29 (1980), 609-627.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 609-627
    • Ratiu, T.1
  • 20
    • 0000434148 scopus 로고
    • The QR algorithm and scattering for the finite nonperiodic Toda lattice
    • W. W. Symes, The QR algorithm and scattering for the finite nonperiodic Toda lattice, Phys. D 4 (1981/82), 275-280.
    • (1981) Phys. D , vol.4 , pp. 275-280
    • Symes, W.W.1
  • 23
    • 0021452861 scopus 로고
    • Isospectral flows
    • D. Watkins, Isospectral flows, SIAM Rev. 26 (1984), 379-391.
    • (1984) SIAM Rev , vol.26 , pp. 379-391
    • Watkins, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.