RECENT WORKS BY YOSHIMASA NAKAMURA (1994+)

[1] Lax pair and fixed points analysis of Karmarkar's projective scaling trajectory for linear programming, Japan J. Indust. Appl. Math. 11(1994), 1--9
[2] Neurodynamics and nonlinear integrable systems of Lax type, Japan J. Indust. Appl. Math. 11(1994), 11--20
[3] Gradient equations associated with probability distributions, Japan J. Indust. Appl. Math. 11(1994), 21--30
[4] Stochastic Lax representations and random collision models, J. Phys. Soc. Japan 63(1994), 827--829
[5] On discretization of three-dimensional Volterra system, Phys. Lett. A 193(1994), 42--46
[6] A tau-function of the finite nonperiodic Toda lattice, Phys. Lett. A 195(1994), 346--350
[7] A tau-function for the finite Toda molecule and information spaces, in; Symplectic Geometry and Quantization, (Eds. Y. Maeda, H. Omori and A.Weistein), Contemp. Math. Vol. 179, Amer. Math. Soc. 1994, pp. 205--211
[8] Moment problem of Hamburger, hierarchy of integrable systems, and the positivity of tau-functions, Acta. Appl. Math. 39(1995), 435--443, (with Y. Kodama)
[9] The BCH-Goppa decoding as a moment problem and a tau-function over finite fields, Phys. Lett. A 223(1996), 75--81
[10] On explicitly solvable gradient systems of Moser-Karmarkar type, J. Math. Anal. Appl. 205(1997), 88--106, (with L. Faybusovich)
[11] Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form, Japan J. Indust. Appl. Math. 14(1997), 159--168
[12] Integrable deformation of Gaussian distribution and the Ornstein-Uhlenbeck process, Lett. Math. Phys. 43(1998), 1--5
[13] On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift, J. Comput. Appl. Math. 96(1998), 77--90 (with K.Kajiwara and H. Shiotani)
[14] An extension of Steffensen's iteration and its computational complexity, Interdisciplinary Inform. Sci. 4, (1998), 129--138 (with K. Kondo)
[15] Dynamics of the finite Toda molecule over finite fields and a decoding algorithm, Phys. Lett. A, 249 (1998), 295--302 (with A. Mukaihira)
[16] On integrable discretization of integrable systems with separatrix, Phys. Lett. A, 250 (1998), 300--310 (with Y. Minesaki)
[17] Calculating Laplace transforms in terms of the Toda molecule, SIAM J. Sci. Comput. 20(1999), 306--317
[18] Integrable discretization of the modified KdV equation and applications, Inverse Problems, 16(2000), 413--424 (with A. Mukaihira)
[19] Algorithms associated with arithmetic, geometric and harmonic means and integrable systems, J. Comput. Appl. Math., to appear.
[20] Discrete Lotka-Volterra system computes singular values, Inverse Problems, 17(2001), 53--58 (with S. Tsujimoto and M. Iwasaki)
[21] Schur flow for orthogonal polynomials on the unit circle and its integrable discretization, J. Comput. Appl. Math. , to appear (with A. Mukaihira)
[22] The discrete relativistic Toda molecule equation and a Pade approximation algorithm, Numerical Algorithms, to appear (with Y. Minesaki)

http://www.sigmath.es.osaka-u.ac.jp/~naka/
naka@sigmath.es.osaka-u.ac.jp
Last Modified: 2000/01/11