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Volumn 14, Issue 2, 1997, Pages 159-168

Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form

Author keywords

Integrable gradient systems; Jacobi algorithm; Lax form; Matrix eigenvalue problem

Indexed keywords


EID: 0039825472     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167262     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 0002769432 scopus 로고
    • Steepest descent, linear programming, and Hamiltonian flow
    • (eds. J.C. Lagarias and M.J. Todd), Amer. Math. Soc., Providence
    • A.M. Bloch, Steepest descent, linear programming, and Hamiltonian flow. Contemp. Math., Vol. 114 (eds. J.C. Lagarias and M.J. Todd), Amer. Math. Soc., Providence, 1990, 77-88.
    • (1990) Contemp. Math. , vol.114 , pp. 77-88
    • Bloch, A.M.1
  • 2
    • 0010189217 scopus 로고
    • Differential geometry and the design of gradient algorithms
    • (eds. R. Greene and S.T. Yau), Amer. Math. Soc., Providence
    • R.W. Brockett, Differential geometry and the design of gradient algorithms. Proc. of Sympo. in Pure Math. Vol. 54 Part I (eds. R. Greene and S.T. Yau), Amer. Math. Soc., Providence, 1993, 69-92.
    • (1993) Proc. of Sympo. in Pure Math. , vol.54 , Issue.1 PART , pp. 69-92
    • Brockett, R.W.1
  • 3
    • 84990586465 scopus 로고
    • Matrix factorizations and integrable systems
    • P. Deift, L.C. Li and C. Tomei, Matrix factorizations and integrable systems. Comm. Pure Appl. Math., 42 (1989), 443-521.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 443-521
    • Deift, P.1    Li, L.C.2    Tomei, C.3
  • 4
    • 21144468781 scopus 로고
    • Jacobi's method is more accurate than QR
    • J. Demmel and K. Veselić, Jacobi's method is more accurate than QR. SIAM J. Matrix Anal. Appl., 13 (1992), 1204-1245.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 1204-1245
    • Demmel, J.1    Veselić, K.2
  • 6
    • 0002460876 scopus 로고
    • Difference scheme of soliton equations
    • (eds. P.L. Christiansen, J.C. Eilbeck and R.D. Parmentier), Plenum, New York
    • R. Hirota, S. Tsujimoto and T. Imai, Difference scheme of soliton equations. NATO ASI Ser. B: Phys. Vol. 312 (eds. P.L. Christiansen, J.C. Eilbeck and R.D. Parmentier), Plenum, New York, 1993, 7-15.
    • (1993) NATO ASI Ser. B: Phys. , vol.312 , pp. 7-15
    • Hirota, R.1    Tsujimoto, S.2    Imai, T.3
  • 7
    • 85033179000 scopus 로고
    • Some recent results on isospectral flows
    • Kyoto Univ.
    • G. Hori, Some recent results on isospectral flows. RIMS Kokyuroku, Vol. 868, Kyoto Univ., 1994, 52-65.
    • (1994) RIMS Kokyuroku , vol.868 , pp. 52-65
    • Hori, G.1
  • 8
    • 0002500563 scopus 로고
    • Riemannian geometry underlying interior-point methods for linear programming
    • (eds. J.C. Lagarias and M.J. Todd), Amer. Math. Soc., Providence
    • N. Karmarkar, Riemannian geometry underlying interior-point methods for linear programming. Contemp. Math., Vol. 114 (eds. J.C. Lagarias and M.J. Todd), Amer. Math. Soc., Providence, 1990, 51-75.
    • (1990) Contemp. Math. , vol.114 , pp. 51-75
    • Karmarkar, N.1
  • 9
    • 0000641586 scopus 로고
    • Finitely many points on the line under the influence of an exponential potential - An integrable system
    • (ed. J. Moser), Springer-Verlag, Berlin
    • J. Moser, Finitely many points on the line under the influence of an exponential potential - An integrable system. Lecture Notes in Phys., Vol. 38 (ed. J. Moser), Springer-Verlag, Berlin, 1975, 467-497.
    • (1975) Lecture Notes in Phys. , vol.38 , pp. 467-497
    • Moser, J.1
  • 10
    • 0010966248 scopus 로고
    • A new nonlinear dynamical system that leads to eigenvalues
    • Y. Nakamura, A new nonlinear dynamical system that leads to eigenvalues. Japan J. Indust. Appl. Math., 9 (1992), 133-139.
    • (1992) Japan J. Indust. Appl. Math. , vol.9 , pp. 133-139
    • Nakamura, Y.1
  • 11
    • 0001921780 scopus 로고
    • Lax pair and fixed point analysis of Karmarkar's projective scaling trajectory for linear programming
    • Y. Nakamura, Lax pair and fixed point analysis of Karmarkar's projective scaling trajectory for linear programming. Japan J. Indust. Appl. Math., 11 (1994), 1-9.
    • (1994) Japan J. Indust. Appl. Math. , vol.11 , pp. 1-9
    • Nakamura, Y.1
  • 12
    • 0010959046 scopus 로고
    • Neurodynamics and nonlinear integrable systems of Lax type
    • Y. Nakamura, Neurodynamics and nonlinear integrable systems of Lax type. Japan J. Indust. Appl. Math., 11 (1994), 11-20.
    • (1994) Japan J. Indust. Appl. Math. , vol.11 , pp. 11-20
    • Nakamura, Y.1
  • 13
    • 0040115232 scopus 로고
    • An interactive method for the eigenvalue problem for matrices
    • T. Nanda, An interactive method for the eigenvalue problem for matrices. Comput. Math. Appl., 19 (1990), 43-51.
    • (1990) Comput. Math. Appl. , vol.19 , pp. 43-51
    • Nanda, T.1
  • 14
    • 23844478771 scopus 로고
    • Ein infinitesimales Analogon zum Quotienten-Differenzen-Algorithmus
    • Von H. Rutishauser, Ein infinitesimales Analogon zum Quotienten-Differenzen-Algorithmus. Arch. Math., 5 (1954), 132-137.
    • (1954) Arch. Math. , vol.5 , pp. 132-137
    • Von Rutishauser, H.1
  • 15
    • 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. Physica, 4D(1982), 275-280.
    • (1982) Physica , vol.4 D , pp. 275-280
    • Symes, W.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.