-
2
-
-
0031550504
-
Toda-type defferential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
-
A. I. Aptekarev, A. Branquinho and F. Marcellán, "Toda-type defferential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation," J. Comput. App. Math. vol. 78, pp. 139-160, 1997.
-
(1997)
J. Comput. App. Math.
, vol.78
, pp. 139-160
-
-
Aptekarev, A.I.1
Branquinho, A.2
Marcellán, F.3
-
3
-
-
0001926709
-
Completely integrable gradient flows
-
A. M. Bloch, R. W. Brockelt and T. S. Ratiu, "Completely integrable gradient flows," Commun. Math. Phys. vol. 147, pp. 57-74, 1992.
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 57-74
-
-
Bloch, A.M.1
Brockelt, R.W.2
Ratiu, T.S.3
-
4
-
-
0002412868
-
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," Lin. Alg. Appl. vol. 146, pp. 79-91, 1991.
-
(1991)
Lin. Alg. Appl.
, vol.146
, pp. 79-91
-
-
Brockelt, R.W.1
-
5
-
-
0010189217
-
Differential geometry and the design of gradient algorithms
-
R. Greene and S. T. Yau eds., Proc. Symp. Pure Math. Part 1, Providence: Amer. Math. Soc.
-
R. W. Brockett, "Differential geometry and the design of gradient algorithms," in:Differential Geometry: Partial Differential Equations on Manifolds, R. Greene and S. T. Yau eds., Proc. Symp. Pure Math. Part 1, vol. 54, pp. 69-92, Providence: Amer. Math. Soc., 1993.
-
(1993)
Differential Geometry: Partial Differential Equations on Manifolds
, vol.54
, pp. 69-92
-
-
Brockett, R.W.1
-
6
-
-
0002063624
-
A differential equation approach to the singular value decomposition of bidiagonal matrices
-
M. T. Chu, "A differential equation approach to the singular value decomposition of bidiagonal matrices," Lin. Alg. Appl. vol. 80, pp. 71-80, 1986.
-
(1986)
Lin. Alg. Appl.
, vol.80
, pp. 71-80
-
-
Chu, M.T.1
-
7
-
-
0024073497
-
On the continuous realization of iterarive processes
-
M. T. Chu, "On the continuous realization of iterarive processes," SIAM Review vol. 30, pp. 375-397, 1988.
-
(1988)
SIAM Review
, vol.30
, pp. 375-397
-
-
Chu, M.T.1
-
8
-
-
51249168713
-
Continuous versions of some discrete maps or what goes on when the lights go out
-
P. Deift, "Continuous versions of some discrete maps or what goes on when the lights go out," J. Analyse Math. vol. 58, pp. 121-133, 1992.
-
(1992)
J. Analyse Math.
, vol.58
, pp. 121-133
-
-
Deift, P.1
-
9
-
-
25344451956
-
The Toda lattice, II. Existense of integrals
-
H. Flaschka, "The Toda lattice, II. Existense of integrals," Phys. Rev. B vol. 9, pp. 1924-1925, 1974.
-
(1974)
Phys. Rev. B
, vol.9
, pp. 1924-1925
-
-
Flaschka, H.1
-
10
-
-
36049057587
-
Method for solving the Korteweg-de Vries equation
-
C. S. Gardner, J. M. Greene, M. D. Kruskal and R. Miura, "Method for solving the Korteweg-de Vries equation," Phys. Rev. Lett., vol. 19, pp. 1095-1097, 1967.
-
(1967)
Phys. Rev. Lett.
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.4
-
14
-
-
0006308475
-
Exact N-soliton solutions of a nonlinear lumped network equation
-
R. Hirota, "Exact N-soliton solutions of a nonlinear lumped network equation," J. Phys. Soc. Japan, vol. 35, pp. 289-294, 1973.
-
(1973)
J. Phys. Soc. Japan
, vol.35
, pp. 289-294
-
-
Hirota, R.1
-
15
-
-
0000034887
-
Nonliear partial difference equations. I-V
-
vol. 45
-
R. Hirota, "Nonliear partial difference equations. I-V," J. Phys. Soc. Japan, vol. 43, pp. 1423-1433, pp. 2074-2078, pp. 2079-2086, vol. 45, pp. 321-332, vol. 46, pp. 312-319, 1977-1978.
-
(1977)
J. Phys. Soc. Japan
, vol.43-46
, pp. 1423-1433
-
-
Hirota, R.1
-
16
-
-
11744360684
-
Discrete analogue of a generalized Toda equation
-
R. Hirota, "Discrete analogue of a generalized Toda equation," J. Phys. Soc. Japan, vol. 50, pp. 3785-3891, 1981.
-
(1981)
J. Phys. Soc. Japan
, vol.50
, pp. 3785-3891
-
-
Hirota, R.1
-
17
-
-
0036905924
-
On a convergence of solution of the discrete Lotka-Volterra system
-
M. Iwasaki and Y. Nakamura, "On a convergence of solution of the discrete Lotka-Volterra system," Inverse Problems, vol. 18, 1569-1578, 2002.
-
(2002)
Inverse Problems
, vol.18
, pp. 1569-1578
-
-
Iwasaki, M.1
Nakamura, Y.2
-
19
-
-
0002500563
-
Riemannian geometry underlying interiorpoint methods for linear programming
-
J. C. Lagarias and M. J. Todd eds., Contemp. Math., Providence: Amer. Math. Soc
-
N. Karmarkar, "Riemannian geometry underlying interiorpoint methods for linear programming," in:Mathematical Developments Arising from Linear Programming, J. C. Lagarias and M. J. Todd eds., Contemp. Math., Vol. 114, pp. 51-75, Providence: Amer. Math. Soc., 1990.
-
(1990)
Mathematical Developments Arising from Linear Programming
, vol.114
, pp. 51-75
-
-
Karmarkar, N.1
-
20
-
-
84888936610
-
-
LAPACK, http://www.netlib.org/lapack/
-
-
-
-
21
-
-
0035631634
-
The discrete relativistic Toda molecule equation and a Padè approximation algorithm
-
Y. Minesaki and Y. Nakamura, "The discrete relativistic Toda molecule equation and a Padè approximation algorithm," Numerical Algorithms, vol. 27, pp. 219-235, 2001.
-
(2001)
Numerical Algorithms
, vol.27
, pp. 219-235
-
-
Minesaki, Y.1
Nakamura, Y.2
-
22
-
-
33748069497
-
Korteweg-de Vries equation and generalization, II. Existence of conservation laws and constants of motion
-
R. Miura, C. S. Gardner and M. D. Kruskal, "Korteweg-de Vries equation and generalization, II. Existence of conservation laws and constants of motion," J. Math. Phys., vol. 9, pp. 1204-1209, 1968.
-
(1968)
J. Math. Phys.
, vol.9
, pp. 1204-1209
-
-
Miura, R.1
Gardner, C.S.2
Kruskal, M.D.3
-
23
-
-
0000641586
-
Finitely many mass points on the line under the influence of an exponential potential - An integrable system
-
J. Moser ed., Lec. Notes in Phys., Berlin: Springer-Verlag
-
J. K. Moser, "Finitely many mass points on the line under the influence of an exponential potential - An integrable system -," in:Dynamical Systems. Theory and Applications, J. Moser ed., Lec. Notes in Phys., Vol. 38, pp. 467-497, Berlin: Springer-Verlag, 1975.
-
(1975)
Dynamical Systems. Theory and Applications
, vol.38
, pp. 467-497
-
-
Moser, J.K.1
-
24
-
-
0036467696
-
Schur flow for orthogonal polynomials on the unit circle and its integrable discretization
-
A. Mukaihira and Y. Nakamura, "Schur flow for orthogonal polynomials on the unit circle and its integrable discretization," J. Comput. Appl. Math., vol. 139, pp. 75-94, 2002.
-
(2002)
J. Comput. Appl. Math.
, vol.139
, pp. 75-94
-
-
Mukaihira, A.1
Nakamura, Y.2
-
25
-
-
0242343458
-
Integrable discretization of the modified KdV equation and applications
-
A. Mukaihira and Y. Nakamura, "Integrable discretization of the modified KdV equation and applications," Inverse Problems, vol. 16, pp. 413-424, 2000.
-
(2000)
Inverse Problems
, vol.16
, pp. 413-424
-
-
Mukaihira, A.1
Nakamura, Y.2
-
26
-
-
0000362764
-
Discrete soliton equations and convergence acceleration algorithms
-
A. Nagai and J. Satsuma, "Discrete soliton equations and convergence acceleration algorithms," Phys. Lett. A vol. 209, pp. 305-312, 1995.
-
(1995)
Phys. Lett. A
, vol.209
, pp. 305-312
-
-
Nagai, A.1
Satsuma, J.2
-
27
-
-
0010966248
-
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., vol. 9, pp. 133-139, 1992.
-
(1992)
Japan J. Indust. Appl. Math.
, vol.9
, pp. 133-139
-
-
Nakamura, Y.1
-
28
-
-
0001921780
-
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., vol. 11, pp. 1-9, 1994.
-
(1994)
Japan J. Indust. Appl. Math.
, vol.11
, pp. 1-9
-
-
Nakamura, Y.1
-
29
-
-
0039825472
-
Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form
-
Y. Nakamura, "Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form," Japan J. Indust. Appl. Math., vol. 14, pp. 159-168, 1997.
-
(1997)
Japan J. Indust. Appl. Math.
, vol.14
, pp. 159-168
-
-
Nakamura, Y.1
-
30
-
-
0032131342
-
Calculating Laplace transforms in terms of the Toda molecule
-
Y. Nakamura, "Calculating Laplace transforms in terms of the Toda molecule," SIAM J. Sci. Comput., vol. 20, pp. 306-317, 1999.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 306-317
-
-
Nakamura, Y.1
-
31
-
-
0035361439
-
Algorithms associated with arithmetic, geometric and harmonic means and integrable systems
-
Y. Nakamura, "Algorithms associated with arithmetic, geometric and harmonic means and integrable systems," J. Comput. Appl. Math., vol. 131, pp. 161-174, 2001.
-
(2001)
J. Comput. Appl. Math.
, vol.131
, pp. 161-174
-
-
Nakamura, Y.1
-
32
-
-
0032162767
-
On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift
-
Y. Nakamura, K. Kajiwara and H. Shiotani, "On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift," J. Comput. Appl. Math., vol. 96, pp. 77-90, 1998.
-
(1998)
J. Comput. Appl. Math.
, vol.96
, pp. 77-90
-
-
Nakamura, Y.1
Kajiwara, K.2
Shiotani, H.3
-
33
-
-
0008135021
-
Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions
-
Y. Nakamura and Y. Kodama, "Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions," Acta Appl. Math., vol. 39, pp. 435-443, 1995.
-
(1995)
Acta Appl. Math.
, vol.39
, pp. 435-443
-
-
Nakamura, Y.1
Kodama, Y.2
-
34
-
-
0000085205
-
Integrable lattices and convergence acceleration algorithms
-
V. Papageorgiou, B. Grammaticos and A. Ramani, "Integrable lattices and convergence acceleration algorithms," Phys. Lett. A vol. 179, pp. 111-115, 1993.
-
(1993)
Phys. Lett. A
, vol.179
, pp. 111-115
-
-
Papageorgiou, V.1
Grammaticos, B.2
Ramani, A.3
-
35
-
-
0010843126
-
Ein Quotienten-differenzen-algorithmus
-
H. Rutishauser, "Ein Quotienten-Differenzen-Algorithmus," Z. angew. Math. Phys., vol. 5, pp. 233-251, 1954.
-
(1954)
Z. Angew. Math. Phys.
, vol.5
, pp. 233-251
-
-
Rutishauser, H.1
-
36
-
-
0002392285
-
Solution of eigenvalue problems with the LR-transformation
-
H. Rutishauser, "Solution of eigenvalue problems with the LR-transformation," Nat. Bur. Standards Appl. Math. Ser., vol. 49, pp. 47-81, 1958.
-
(1958)
Nat. Bur. Standards Appl. Math. Ser.
, vol.49
, pp. 47-81
-
-
Rutishauser, H.1
-
37
-
-
0015671259
-
The soliton: A new concept in applied science
-
A. C. Scott, F. Y. F. Chu and D. W. McLaughlin. "The soliton: A new concept in applied science," Proc. IEEE, vol. 61, pp. 1443-1483, 1973.
-
(1973)
Proc. IEEE
, vol.61
, pp. 1443-1483
-
-
Scott, A.C.1
Chu, F.Y.F.2
McLaughlin, D.W.3
-
38
-
-
0031583014
-
Discrete-time Volterra chain and classical orthogonal polynomials
-
V. Spiridonov and A. Zhedanov, "Discrete-time Volterra chain and classical orthogonal polynomials," J. Phys. A, vol. 30, pp. 8727-8737, 1997.
-
(1997)
J. Phys. A
, vol.30
, pp. 8727-8737
-
-
Spiridonov, V.1
Zhedanov, A.2
-
39
-
-
0000434148
-
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, vol. 4D, pp. 275-280, 1982.
-
(1982)
Physica
, vol.4 D
, pp. 275-280
-
-
Symes, W.W.1
-
40
-
-
27644471908
-
Vibration of a chain with nonlinear interaction
-
M. Toda, "Vibration of a chain with nonlinear interaction," J. Phys. Soc. Japan, vol. 22, pp. 431-436, 1967.
-
(1967)
J. Phys. Soc. Japan
, vol.22
, pp. 431-436
-
-
Toda, M.1
-
42
-
-
0012103044
-
The discrete Lotka-Volterra system computes singular values
-
S. Tsujimoto, Y. Nakamura and M. Iwasaki, "The discrete Lotka-Volterra system computes singular values," Inverse Problems, vol. 17, 53-58, 2001.
-
(2001)
Inverse Problems
, vol.17
, pp. 53-58
-
-
Tsujimoto, S.1
Nakamura, Y.2
Iwasaki, M.3
-
43
-
-
0021452861
-
Isospectral flows
-
D. S. Watkins, "Isospectral flows," SIAM Review, vol. 26, pp. 379-391, 1984.
-
(1984)
SIAM Review
, vol.26
, pp. 379-391
-
-
Watkins, D.S.1
-
44
-
-
48749146677
-
Self-similar flows
-
D. S. Watkins and L. Eisner, "Self-similar flows," Lin. Alg. Appl., vol. 110, pp. 213-242, 1988.
-
(1988)
Lin. Alg. Appl.
, vol.110
, pp. 213-242
-
-
Watkins, D.S.1
Eisner, L.2
-
46
-
-
33846361348
-
Interaction of solitons in a collisionless plasma and the recurrence of initial staes
-
N. J. Zabusky and M. D. Kruskal, "Interaction of solitons in a collisionless plasma and the recurrence of initial staes," Phys. Rev. Lett., vol. 15, pp. 240-243, 1965.
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
47
-
-
34250461398
-
Korteweg-de Vries equation: A coompletely integrable Hamiltonian system
-
V. E. Zakharov and L. D. Faddeev, "Korteweg-de Vries equation: A coompletely integrable Hamiltonian system," Funct. Anal. Appl., vol. 5, pp. 280-287, 1971.
-
(1971)
Funct. Anal. Appl.
, vol.5
, pp. 280-287
-
-
Zakharov, V.E.1
Faddeev, L.D.2
|