Yoshimasa Nakamura

发表

Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions

Yoshimasa Nakamura, 1993 .

On the convergence of a solution of the discrete Lotka-Volterra system

Yoshimasa Nakamura, Masashi Iwasaki, Yoshimasa Nakamura, 2002 .

An application of the discrete Lotka–Volterra system with variable step-size to singular value computation

Yoshimasa Nakamura, Masashi Iwasaki, Yoshimasa Nakamura, 2004 .

Gradient systems associated with probability distributions

Yoshimasa Nakamura, Yoshimasa Nakamura, 1994 .

Performance Evaluation of Golub-Kahan-Lanczos Algorithm with Reorthogonalization by Classical Gram-Schmidt Algorithm and OpenMP

Yoshimasa Nakamura, M. Takata, H. Ishigami, 2015 .

Improvement of the Thick-Restart Lanczos Method in Single Precision Floating Point Arithmetic using Givens rotations

M. Aoki, Yoshimasa Nakamura, M. Takata, 2019 .

Determinantal solutions of solvable chaotic systems

Yoshimasa Nakamura, Koichi Kondo, 2002 .

An application of the discrete-time Toda lattice to the progressive algorithm by Lanczos and related problems

Yoshimasa Nakamura, Hiroto Sekido, 2018 .

Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system

Yoshimasa Nakamura, Koichi Kondo, M. Iwasaki, 2016, 1603.01963.

Toda Chain, Sheffer Class of Orthogonal Polynomials and Combinatorial Numbers

A. Zhedanov, Yoshimasa Nakamura, 2004 .

Lax pair and fixed point analysis of Karmarkar’s projective scaling trajectory for linear programming

Yoshimasa Nakamura, 1994 .

The BCH-Goppa decoding as a moment problem and a tau function over finite fields

Yoshimasa Nakamura, Yoshimasa Nakamura, 1996 .

Box and Ball System with Numbered Boxes

Yoshimasa Nakamura, M. Iwasaki, E. Ishiwata, 2022, Mathematical Physics, Analysis and Geometry.

Solution space of discrete Wiener-Hopf equations and Grassmann manifold

Yoshimasa Nakamura, 1988 .

Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory (Expansion of Integrable Systems)

Yoshimasa Nakamura, M. Iwasaki, E. Ishiwata, 2009 .

Periodic reduction of self‐dual Yang–Mills equations

Yoshimasa Nakamura, 1988 .

A tridiagonal matrix construction by the quotient difference recursion formula in the case of multiple eigenvalues

Yoshimasa Nakamura, Koichi Kondo, M. Iwasaki, 2014 .

On O(N) formula for the diagonal elements of in- verse powers of symmetric positive definite tridi- agonal matrices

Yoshimasa Nakamura, Kinji Kimura, Takumi Yamashita, 2008 .

An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique

Yoshimasa Nakamura, M. Iwasaki, Yusaku Yamamoto, 2015 .

Integrable discretization of the modified KdV equation and applications

Yoshimasa Nakamura, Atsushi Mukaihira, 2000 .

Monotonic Convergence to Eigenvalues of Totally Nonnegative Matrices in an Integrable Variant of the Discrete Lotka-Volterra System

Yoshimasa Nakamura, M. Iwasaki, E. Ishiwata, 2015 .

Convergence Acceleration of Shifted LR Transformations for Totally Nonnegative Hessenberg Matrices

Yoshimasa Nakamura, M. Iwasaki, E. Ishiwata, 2020, Applications of Mathematics.

DEVELOPMENT OF ORTHOGONALITY OF SINGULAR VECTORS COMPUTED BY I-SVD ALGORITHM

Yoshimasa Nakamura, M. Takata, K. Kimura, 2007 .

Yoshimasa Nakamura, M. Iwasaki, Munehiro Nagata, 2014 .

Yoshimasa Nakamura, M. Iwasaki, Munehiro Nagata, 2013, Calcolo.

Neurodynamics and nonlinear integrable systems of Lax type

Yoshimasa Nakamura, 1994 .

Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions

Yoshimasa Nakamura, 1983 .

On the construction of exact solutions of the stationary axially symmetric Einstein equations

Yoshimasa Nakamura, 1981 .

Transformation group acting on a self‐dual Yang–Mills hierarchy

Yoshimasa Nakamura, 1988 .

Accurate computation of singular values in terms of shifted integrable schemes

Yoshimasa Nakamura, Masashi Iwasaki, Yoshimasa Nakamura, 2006 .

Nonlinear integrable flow on the framed moduli space of instantons

Yoshimasa Nakamura, 1990 .

On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift

Yoshimasa Nakamura, Kenji Kajiwara, Yoshimasa Nakamura, 1998 .

On Explicitly Solvable Gradient Systems of Moser–Karmarkar Type☆

Yoshimasa Nakamura, L. Faybusovich, 1997 .

Periodic convergence in the discrete hungry Toda equation

Yoshimasa Nakamura, M. Iwasaki, E. Ishiwata, 2018, Journal of Physics A: Mathematical and Theoretical.

Asymptotic analysis of non-autonomous discrete hungry integrable systems

Yoshimasa Nakamura, Koichi Kondo, M. Iwasaki, 2018 .

An asymptotic expansion of the Casorati determinant and its application to discrete integrable systems

Yoshimasa Nakamura, M. Iwasaki, M. Shinjo, 2013, 1310.2407.

Integrable discrete hungry systems and their related matrix eigenvalues

Yusaku Yamamoto, Yoshimasa Nakamura, Masashi Iwasaki, 2013 .

Integrable discrete hungry systems and their related matrix eigenvalues

Yoshimasa Nakamura, M. Iwasaki, E. Ishiwata, 2011, Annali di Matematica Pura ed Applicata.

The discrete hungry Lotka–Volterra system and a new algorithm for computing matrix eigenvalues

Yoshimasa Nakamura, Masashi Iwasaki, Emiko Ishiwata, 2008 .

A tau-function of the finite nonperiodic Toda lattice

Yoshimasa Nakamura, Yoshimasa Nakamura, 1994 .

Conserved quantities of the integrable discrete hungry systems

Yoshimasa Nakamura, M. Iwasaki, Yusaku Yamamoto, 2015 .

Schur flow for orthogonal polynomials on the unit circle and its integrable discretization

Yoshimasa Nakamura, Atsushi Mukaihira, Yoshimasa Nakamura, 2002 .

On an integrable discretization of integrable systems with a separatrix

Yoshimasa Nakamura, Yukitaka Minesaki, 1998 .

Calculating Laplace Transforms in Terms of the Toda Molecule

Yoshimasa Nakamura, Yoshimasa Nakamura, 1998, SIAM J. Sci. Comput..

Dynamics of the finite Toda molecule over finite fields and a decoding algorithm

Yoshimasa Nakamura, Atsushi Mukaihira, 1998 .

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

Yoshimasa Nakamura, 1997 .

A Discrete Three-wave System of Kahan-Hirota-Kimura Type and the QRT Mapping

Yoshimasa Nakamura, M. Takata, K. Kimura, 2019 .

Special solutions of the Toda chain and combinatorial numbers

A. Zhedanov, Yoshimasa Nakamura, 2004 .

The Discrete Relativistic Toda Molecule Equation and a Padé Approximation Algorithm

Yoshimasa Nakamura, Yukitaka Minesaki, Yoshimasa Nakamura, 2001, Numerical Algorithms.

The discrete Lotka-Volterra system computes singular values

Yoshimasa Nakamura, Masashi Iwasaki, Satoshi Tsujimoto, 2001 .

On a shifted LR transformation derived from the discrete hungry Toda equation

Yusaku Yamamoto, Yoshimasa Nakamura, Masashi Iwasaki, 2013 .

Eigenvalue clustering of coefficient matrices in the iterative stride reductions for linear systems

Yoshimasa Nakamura, Munehiro Nagata, Masatsugu Hada, 2016, Comput. Math. Appl..

A Bäcklund transformation between two integrable discrete hungry systems

Yusaku Yamamoto, Yoshimasa Nakamura, Masashi Iwasaki, 2011 .

On a variable transformation between two integrable systems: The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system

Yoshimasa Nakamura, M. Iwasaki, Yusaku Yamamoto, 2010 .

On the discretization of the three-dimensional Volterra system

Yoshimasa Nakamura, Taro Hashimoto, 1994 .

Remarks on the moduli space of SU(2) monopoles and Toda flow

Yoshimasa Nakamura, T. Duncan, 1990 .

New numerical integrator for the Stäckel system conserving the same number of constants of motion as the degree of freedom

Yoshimasa Nakamura, Yukitaka Minesaki, Yoshimasa Nakamura, 2006 .

Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions

Yoshimasa Nakamura, Y. Kodama, 1995 .

Padé approximation of Laplace transforms of some special functions in terms of Painlevé equations

Yoshimasa Nakamura, Norihiro Ohira, 2004 .

Transformation theory for anti-self-dual equations and the Riemann-Hilbert problem

Yoshimasa Nakamura, K. Ueno, 1982 .

Roots of Characteristic Polynomial Sequences in Iterative Block Cyclic Reductions

Yoshimasa Nakamura, M. Iwasaki, M. Shinjo, 2021, Mathematics.

On self-dual yang-Mills hierarchy

Yoshimasa Nakamura, 1989 .

On the Riemann-Hilbert transformations for a Galilean invariant system

Yoshimasa Nakamura, 1986 .

TRANSFORMATION THEORY FOR ANTI(SELF)DUAL EQUATIONS

Yoshimasa Nakamura, K. Ueno, 1983 .

Ehlers-type transformation for SL(2, ℂ) self-dual equations of gauge theory

Yoshimasa Nakamura, 1983 .

Application of the Lanczos-Phillips algorithm to continued fractions and its extension with orthogonal polynomials

Yoshimasa Nakamura, Kaoru Sawa, Yoshimasa Nakamura, 2018, JSIAM Lett..

On Auto-tuned Pre/postprocessing for the Singular Value Decomposition of Dense Square Matrices

Hiroki Toyokawa, Kinji Kimura, Yusaku Yamamoto, 2011 .

Verification of dLVv Transformation for Singular Vector Computation with High Accuracy

Kinji Kimura, Masami Takata, Yoshimasa Nakamura, 2006, PDPTA.

Optimization of the Multishift QR Algorithm with Coprocessors for Non-Hermitian Eigenvalue Problems

Yusaku Yamamoto, Yoshimasa Nakamura, Shao-Liang Zhang, 2011 .

Accelerating the complex Hessenberg QR algorithm with the CSX600 floating-point coprocessor

Yusaku Yamamoto, Yoshimasa Nakamura, Takafumi Miyata, 2007 .

A new singular value decomposition algorithm suited to parallelization and preliminary results

Masami Takata, Yoshimasa Nakamura, Masashi Iwasaki, 2006 .

A new nonlinear dynamical system that leads to eigenvalues

Yoshimasa Nakamura, 1992 .

A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory

Yoshimasa Nakamura, Yukitaka Minesaki, 2004 .

A new discretization of the Kepler motion which conserves the Runge-Lenz vector

Yoshimasa Nakamura, Yukitaka Minesaki, 2002 .

Extension of the Lanczos-Phillips algorithm with Laurent biorthogonal polynomials and its application to the Thron continued fractions

Yoshimasa Nakamura, Kaoru Sawa, Yoshimasa Nakamura, 2020, JSIAM Lett..

On some properties of a discrete hungry Lotka-Volterra system of multiplicative type

Yoshimasa Nakamura, M. Iwasaki, Yusaku Yamamoto, 2012 .

Moduli space ofSU(2) monopoles and complex cyclic-Toda hierarchy

Yoshimasa Nakamura, 1990 .

Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation

Yoshimasa Nakamura, M. Iwasaki, Yusaku Yamamoto, 2012, Numerical Algorithms.

Stochastic lax representations and random collision models

Yoshimasa Nakamura, 1994 .