# zbMATH — the first resource for mathematics

## Nakamura, Yoshimasa

Compute Distance To:
 Author ID: nakamura.yoshimasa Published as: Nakamura, Y.; Nakamura, Yoshimasa
 Documents Indexed: 127 Publications since 1975, including 2 Books
all top 5

#### Co-Authors

 42 single-authored 29 Iwasaki, Masashi 13 Fukuda, Akiko 13 Ishiwata, Emiko 10 Yamamoto, Yusaku 7 Kondo, Koichi 7 Minesaki, Yukitaka 4 Akaiwa, Kanae 4 Kimura, Kinji 3 Mukaihira, Atsushi 3 Nagata, Munehiro 3 Shinjo, Masato 2 Konda, Taro 2 Sawa, Kaoru 2 Takahashi, You 2 Takata, Masami 2 Tsujimoto, Satoshi 2 Ueno, Kimio 2 Yamashita, Takumi 2 Zhedanov, Alexei S. 1 Araki, Sho 1 Duncan, Tyrone E. 1 Faybusovich, Leonid E. 1 Hada, Masatsugu 1 Hama, Yosuke 1 Hashimoto, Taro 1 Kajiwara, Kazuki 1 Kakizaki, Sonomi 1 Kodama, Yuji 1 Miyata, Takafumi 1 Ohira, Norihiro 1 Sekido, Hiroto 1 Shiotani, H. 1 Toyokawa, Hiroki 1 Tsutsumi, Hisayoshi 1 Uneyama, Takashi 1 Wang, Tan 1 Yoshida, Akira 1 Zhang, Shao-Liang
all top 5

#### Serials

 8 Japan Journal of Industrial and Applied Mathematics 7 Physics Letters. A 6 Inverse Problems 6 Letters in Mathematical Physics 6 RIMS Kokyuroku 6 JSIAM Letters 5 Numerical Algorithms 4 Journal of Mathematical Physics 4 Journal of Computational and Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 2 IMA Journal of Mathematical Control and Information 2 Journal of Physics A: Mathematical and General 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Math-for-Industry 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Hokkaido Mathematical Journal 1 Mathematica Japonica 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Science Report of the Faculty of Education. Natural Science 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Nuclear Physics, B, Proceedings Supplements 1 ETNA. Electronic Transactions on Numerical Analysis 1 Interdisciplinary Information Sciences (IIS) 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 East Asian Journal on Applied Mathematics 1 Pacific Journal of Mathematics for Industry 1 Cogent Mathematics 1 Journal of Integrable Systems
all top 5

#### Fields

 53 Dynamical systems and ergodic theory (37-XX) 38 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Difference and functional equations (39-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 7 Probability theory and stochastic processes (60-XX) 7 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 5 Differential geometry (53-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Special functions (33-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

82 Publications have been cited 336 times in 187 Documents Cited by Year
The discrete Lotka-Volterra system computes singular values. Zbl 0974.35110
Tsujimoto, Satoshi; Nakamura, Yoshimasa; Iwasaki, Masashi
2001
On the convergence of a solution of the discrete Lotka-Volterra system. Zbl 1021.35115
Iwasaki, Masashi; Nakamura, Yoshimasa
2002
Schur flow for orthogonal polynomials on the unit circle and its integrable discretization. Zbl 1005.37038
Mukaihira, Atsushi; Nakamura, Yoshimasa
2002
A new discretization of the Kepler motion which conserves the Runge-Lenz vector. Zbl 1005.70009
Minesaki, Yukitaka; Nakamura, Yoshimasa
2002
An application of the discrete Lotka-Volterra system with variable step-size to singular value computation. Zbl 1057.65018
Iwasaki, Masashi; Nakamura, Yoshimasa
2004
Calculating Laplace transforms in terms of the Toda molecule. Zbl 0932.37060
Nakamura, Yoshimasa
1999
Integrable discrete hungry systems and their related matrix eigenvalues. Zbl 1349.37064
Fukuda, Akiko; Ishiwata, Emiko; Yamamoto, Yusaku; Iwasaki, Masashi; Nakamura, Yoshimasa
2013
Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions. Zbl 0548.53031
Nakamura, Yoshimasa
1983
The discrete relativistic Toda molecule equation and a Padé approximation algorithm. Zbl 1078.81536
Minesaki, Yukitaka; Nakamura, Yoshimasa
2001
Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions. Zbl 0814.58021
Nakamura, Yoshimasa
1993
The discrete hungry Lotka-Volterra system and a new algorithm for computing matrix eigenvalues. Zbl 1161.35510
Fukuda, Akiko; Ishiwata, Emiko; Iwasaki, Masashi; Nakamura, Yoshimasa
2009
Gradient systems associated with probability distributions. Zbl 0811.58036
Nakamura, Yoshimasa
1994
Geometry of rational functions and nonlinear integrable systems. Zbl 0738.93018
Nakamura, Yoshimasa
1991
Transformation theory for anti-self-dual equations. Zbl 0524.58018
Ueno, Kimio; Nakamura, Yoshimasa
1983
An approximate finite deflection analysis of a heated elastic plate by the boundary element method. Zbl 0475.73085
Kamiya, N.; Sawaki, Y.; Nakamura, Y.; Fukui, A.
1982
Special solutions of the Toda chain and combinatorial numbers. Zbl 1050.37039
Nakamura, Yoshimasa; Zhedanov, Alexei
2004
Entanglement of two coupled charge qubits. Zbl 1058.81529
Pashkin, Yu. A.; Tilma, T.; Averin, D. V.; Astafiev, O.; Yamamoto, T.; Nakamura, Y.; Nori, F.; Tsai, J. S.
2003
A new nonlinear dynamical system that leads to eigenvalues. Zbl 0757.58020
Nakamura, Yoshimasa
1992
Transformation group acting on a self-dual Yang-Mills hierarchy. Zbl 0644.58042
Nakamura, Yoshimasa
1988
A Bäcklund transformation between two integrable discrete hungry systems. Zbl 1241.37010
Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2011
Accurate computation of singular values in terms of shifted integrable schemes. Zbl 1117.65055
Iwasaki, Masashi; Nakamura, Yoshimasa
2006
Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions. Zbl 0837.58018
Nakamura, Yoshimasa; Kodama, Yuji
1995
A tau-function of the finite nonperiodic Toda lattice. Zbl 0941.37537
Nakamura, Yoshimasa
1994
Finite and postbuckling deformations of heated plates and shallow shells. Zbl 0544.73061
Kamiya, N.; Sawaki, Y.; Nakamura, Y.
1983
A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory. Zbl 1123.70302
Minesaki, Yukitaka; Nakamura, Yoshimasa
2004
Algorithms associated with arithmetic, geometric and harmonic means and integrable systems. Zbl 0982.65136
Nakamura, Yoshimasa
2001
On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift. Zbl 0929.65127
Nakamura, Y.; Kajiwara, K.; Shiotani, H.
1998
Lax equations associated with a least squares problem and compact Lie algebras. Zbl 0799.58031
Nakamura, Yoshimasa
1993
On a shifted $$LR$$ transformation derived from the discrete hungry Toda equation. Zbl 1311.65036
Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2013
Center manifold approach to discrete integrable systems related to eigenvalues and singular values. Zbl 1135.37027
Iwasaki, Masahi; Nakamura, Yoshimasa
2007
A conservative numerical integration algorithm for integrable Henon-Heiles system. Zbl 1095.37044
Minesaki, Y.; Nakamura, Y.
2004
A tau-function for the finite Toda molecule, and information spaces. Zbl 0827.58025
Nakamura, Yoshimasa
1994
Neurodynamics and nonlinear integrable systems of Lax type. Zbl 0822.92003
Nakamura, Yoshimasa
1994
Lax pair and fixed point analysis of Karmarkar’s projective scaling trajectory for linear programming. Zbl 0799.90088
Nakamura, Yoshimasa
1994
Moduli space of SU(2) monopoles and complex cyclic-Toda hierarchy. Zbl 0705.58027
Nakamura, Yoshimasa
1990
An asymptotic analysis for an integrable variant of the Lotka-Volterra prey-predator model via a determinant expansion technique. Zbl 1339.92076
Shinjo, Masato; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Yamamoto, Yusaku; Nakamura, Yoshimasa
2015
From superoperator formalism to nonequilibrium Thermo Field Dynamics. Zbl 1266.81134
Nakamura, Y.; Yamanaka, Y.
2013
Error analysis of the mdLVs algorithm for computing bidiagonal singular values. Zbl 1259.65066
Nagata, Munehiro; Iwasaki, Masashi; Nakamura, Yoshimasa
2012
Positivity of dLV and mdLVs algorithms for computing singular values. Zbl 1287.65028
Iwasaki, Masashi; Nakamura, Yoshimasa
2011
New numerical integrator for the Stäckel system conserving the same number of constants of motion as the degree of freedom. Zbl 1096.37052
Minesaki, Yukitaka; Nakamura, Yoshimasa
2006
Integrable discretization of the modified KdV equation and applications. Zbl 0964.35152
Mukaihira, Atsushi; Nakamura, Yoshimasa
2000
Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form. Zbl 1306.65188
Nakamura, Yoshimasa
1997
The BCH-Goppa decoding as a moment problem and a tau function over finite fields. Zbl 1037.94547
Nakamura, Yoshimasa
1996
On the discretization of the three-dimensional Volterra system. Zbl 0961.65500
Nakamura, Yoshimasa; Hashimoto, Taro
1994
Motion of a charged particle around a black hole permeated by magnetic field and its chaotic characters. Zbl 0800.70055
Nakamura, Y.; Ishizuka, T.
1993
Applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations. Zbl 0673.35090
Nakamura, Yoshimasa
1989
Group actions on linear predictors for nonstationary processes. Zbl 0643.60036
Nakamura, Yoshimasa
1988
Periodic reduction of self-dual Yang-Mills equations. Zbl 0783.58037
Nakamura, Yoshimasa
1988
On a linearisation of the stationary axially symmetric Einstein equations. Zbl 0609.53024
Nakamura, Yoshimasa
1987
On Heisenberg models with values in Hermitian symmetric spaces. Zbl 0586.35033
Nakamura, Yoshimasa
1985
An analysis of binary flutter of bridge deck sections. Zbl 0386.73055
Nakamura, Y.
1978
Application of the Lanczos-Phillips algorithm to continued fractions and its extension with orthogonal polynomials. Zbl 07037367
Sawa, Kaoru; Nakamura, Yoshimasa
2018
Asymptotic analysis of non-autonomous discrete hungry integrable systems. Zbl 1397.37064
Shinjo, Masato; Nakamura, Yoshimasa; Iwasaki, Masashi; Kondo, Koichi
2018
A finite-step construction of totally nonnegative matrices with specified eigenvalues. Zbl 1334.65074
Akaiwa, Kanae; Nakamura, Yoshimasa; Iwasaki, Masashi; Tsutsumi, Hisayoshi; Kondo, Koichi
2015
A tridiagonal matrix construction by the quotient difference recursion formula in the case of multiple eigenvalues. Zbl 1329.65080
Akaiwa, Kanae; Iwasaki, Masashi; Kondo, Koichi; Nakamura, Yoshimasa
2014
An application of the Kato-temple inequality on matrix eigenvalues to the dqds algorithm for singular values. Zbl 1416.65099
Yamashita, Takumi; Kimura, Kinji; Takata, Masami; Nakamura, Yoshimasa
2013
From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems. Zbl 1302.81144
Kuwahara, Y.; Nakamura, Y.; Yamanaka, Y.
2013
Subtraction-free recurrence relations for lower bounds of the minimal singular value of an upper bidiagonal matrix. Zbl 1302.15012
Yamashita, Takumi; Kimura, Kinji; Nakamura, Yoshimasa
2012
On some properties of a discrete hungry Lotka-Volterra system of multiplicative type. Zbl 1302.49057
Hama, Yosuke; Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2012
Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation. Zbl 1257.65019
Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2012
Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices. Zbl 1223.37068
Kimura, K.; Yamashita, T.; Nakamura, Y.
2011
On condition numbers in the cyclic reduction processes of a tridiagonal matrix. Zbl 1213.65073
Wang, Tan; Iwasaki, Masashi; Nakamura, Yoshimasa
2010
Derivation of non-Markovian transport equations for trapped cold atoms in nonequilibrium thermal field theory. Zbl 1187.82091
Nakamura, Y.; Sunaga, T.; Mine, M.; Okumura, M.; Yamanaka, Y.
2010
On the $$qd$$-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm. Zbl 1278.65039
Fukuda, Akiko; Ishiwata, Emiko; Iwasaki, Masashi; Nakamura, Yoshimasa
2009
Toda chain, Sheffer class of orthogonal polynomials and combinatorial numbers. Zbl 1095.37030
Nakamura, Y.; Zhedanov, A.
2004
On an integrable discretization of integrable systems with a separatrix. Zbl 1044.37535
Minesaki, Yukitaka; Nakamura, Yoshimasa
1998
On explicit solvable gradient systems of Moser-Karmarkar type. Zbl 0874.93052
Nakamura, Yoshimasa; Faybusovich, Leonid
1997
Comparison of the calculations of the stability properties of a specific stellarator equilibrium with different MHD stability codes. Zbl 0860.76077
Nakamura, Y.; Matsumoto, T.; Wakatani, M.; Galkin, S. A.; Drozdov, V. V.; Martynov, A. A.; Poshekhonov, Yu. Yu.; Ichiguchi, K.; Garcia, L.; Carreras, B. A.; Nührenberg, C.; Cooper, W. A.; Johnson, J. L.
1996
Erratum: A new nonlinear dynamical system that leads to eigenvalues. Zbl 0757.58021
Nakamura, Yoshimasa
1992
The level manifold of a generalized Toda equation hierarchy. Zbl 0767.58022
Nakamura, Yoshimasa
1992
Some extremal problems related to majorization. Zbl 0736.46008
Ando, T.; Nakamura, Y.
1991
Self-dual Yang-Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions. Zbl 0736.58043
Nakamura, Yoshimasa
1991
Nonlinear integrable flow on the framed moduli space of instantons. Zbl 0729.58019
Nakamura, Yoshimasa
1990
Remarks on the moduli space of SU(2) monopoles and Toda flow. Zbl 0723.58009
Nakamura, Yoshimasa; Duncan, Tyrone E.
1990
A new approach to the linear prediction problem for infinite stationary processes in terms of Riemann-Hilbert transformation theory. Zbl 0699.60029
Nakamura, Yoshimasa
1989
On self-dual Yang-Mills hierarchy. Zbl 0959.37512
Nakamura, Yoshimasa
1989
Fractional transformation group induced by QR factorization and linear prediction problem. Zbl 0639.93057
Nakamura, Yoshimasa
1988
Ehlers-type transformation for SL(2,C) self-dual equations of gauge theory. Zbl 0521.58036
Nakamura, Yoshimasa
1983
Boundary element nonlinear bending analyses of clamped sandwich plates and shells. Zbl 0512.73081
Kamiya, N.; Sawaki, Y.; Nakamura, Y.
1982
On the construction of exact solutions of the stationary axially symmetric Einstein equations. Zbl 0483.35074
Nakamura, Yoshimasa
1981
Thermal bending analysis by boundary integral equation method. Zbl 0475.73084
Kamiya, N.; Sawaki, Y.; Nakamura, Y.
1981
On inverse scattering formula for Ernst equation. Zbl 0419.35069
Nakamura, Yoshimasa
1979
Application of the Lanczos-Phillips algorithm to continued fractions and its extension with orthogonal polynomials. Zbl 07037367
Sawa, Kaoru; Nakamura, Yoshimasa
2018
Asymptotic analysis of non-autonomous discrete hungry integrable systems. Zbl 1397.37064
Shinjo, Masato; Nakamura, Yoshimasa; Iwasaki, Masashi; Kondo, Koichi
2018
An asymptotic analysis for an integrable variant of the Lotka-Volterra prey-predator model via a determinant expansion technique. Zbl 1339.92076
Shinjo, Masato; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Yamamoto, Yusaku; Nakamura, Yoshimasa
2015
A finite-step construction of totally nonnegative matrices with specified eigenvalues. Zbl 1334.65074
Akaiwa, Kanae; Nakamura, Yoshimasa; Iwasaki, Masashi; Tsutsumi, Hisayoshi; Kondo, Koichi
2015
A tridiagonal matrix construction by the quotient difference recursion formula in the case of multiple eigenvalues. Zbl 1329.65080
Akaiwa, Kanae; Iwasaki, Masashi; Kondo, Koichi; Nakamura, Yoshimasa
2014
Integrable discrete hungry systems and their related matrix eigenvalues. Zbl 1349.37064
Fukuda, Akiko; Ishiwata, Emiko; Yamamoto, Yusaku; Iwasaki, Masashi; Nakamura, Yoshimasa
2013
On a shifted $$LR$$ transformation derived from the discrete hungry Toda equation. Zbl 1311.65036
Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2013
From superoperator formalism to nonequilibrium Thermo Field Dynamics. Zbl 1266.81134
Nakamura, Y.; Yamanaka, Y.
2013
An application of the Kato-temple inequality on matrix eigenvalues to the dqds algorithm for singular values. Zbl 1416.65099
Yamashita, Takumi; Kimura, Kinji; Takata, Masami; Nakamura, Yoshimasa
2013
From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems. Zbl 1302.81144
Kuwahara, Y.; Nakamura, Y.; Yamanaka, Y.
2013
Error analysis of the mdLVs algorithm for computing bidiagonal singular values. Zbl 1259.65066
Nagata, Munehiro; Iwasaki, Masashi; Nakamura, Yoshimasa
2012
Subtraction-free recurrence relations for lower bounds of the minimal singular value of an upper bidiagonal matrix. Zbl 1302.15012
Yamashita, Takumi; Kimura, Kinji; Nakamura, Yoshimasa
2012
On some properties of a discrete hungry Lotka-Volterra system of multiplicative type. Zbl 1302.49057
Hama, Yosuke; Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2012
Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation. Zbl 1257.65019
Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2012
A Bäcklund transformation between two integrable discrete hungry systems. Zbl 1241.37010
Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa
2011
Positivity of dLV and mdLVs algorithms for computing singular values. Zbl 1287.65028
Iwasaki, Masashi; Nakamura, Yoshimasa
2011
Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices. Zbl 1223.37068
Kimura, K.; Yamashita, T.; Nakamura, Y.
2011
On condition numbers in the cyclic reduction processes of a tridiagonal matrix. Zbl 1213.65073
Wang, Tan; Iwasaki, Masashi; Nakamura, Yoshimasa
2010
Derivation of non-Markovian transport equations for trapped cold atoms in nonequilibrium thermal field theory. Zbl 1187.82091
Nakamura, Y.; Sunaga, T.; Mine, M.; Okumura, M.; Yamanaka, Y.
2010
The discrete hungry Lotka-Volterra system and a new algorithm for computing matrix eigenvalues. Zbl 1161.35510
Fukuda, Akiko; Ishiwata, Emiko; Iwasaki, Masashi; Nakamura, Yoshimasa
2009
On the $$qd$$-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm. Zbl 1278.65039
Fukuda, Akiko; Ishiwata, Emiko; Iwasaki, Masashi; Nakamura, Yoshimasa
2009
Center manifold approach to discrete integrable systems related to eigenvalues and singular values. Zbl 1135.37027
Iwasaki, Masahi; Nakamura, Yoshimasa
2007
Accurate computation of singular values in terms of shifted integrable schemes. Zbl 1117.65055
Iwasaki, Masashi; Nakamura, Yoshimasa
2006
New numerical integrator for the Stäckel system conserving the same number of constants of motion as the degree of freedom. Zbl 1096.37052
Minesaki, Yukitaka; Nakamura, Yoshimasa
2006
An application of the discrete Lotka-Volterra system with variable step-size to singular value computation. Zbl 1057.65018
Iwasaki, Masashi; Nakamura, Yoshimasa
2004
Special solutions of the Toda chain and combinatorial numbers. Zbl 1050.37039
Nakamura, Yoshimasa; Zhedanov, Alexei
2004
A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory. Zbl 1123.70302
Minesaki, Yukitaka; Nakamura, Yoshimasa
2004
A conservative numerical integration algorithm for integrable Henon-Heiles system. Zbl 1095.37044
Minesaki, Y.; Nakamura, Y.
2004
Toda chain, Sheffer class of orthogonal polynomials and combinatorial numbers. Zbl 1095.37030
Nakamura, Y.; Zhedanov, A.
2004
Entanglement of two coupled charge qubits. Zbl 1058.81529
Pashkin, Yu. A.; Tilma, T.; Averin, D. V.; Astafiev, O.; Yamamoto, T.; Nakamura, Y.; Nori, F.; Tsai, J. S.
2003
On the convergence of a solution of the discrete Lotka-Volterra system. Zbl 1021.35115
Iwasaki, Masashi; Nakamura, Yoshimasa
2002
Schur flow for orthogonal polynomials on the unit circle and its integrable discretization. Zbl 1005.37038
Mukaihira, Atsushi; Nakamura, Yoshimasa
2002
A new discretization of the Kepler motion which conserves the Runge-Lenz vector. Zbl 1005.70009
Minesaki, Yukitaka; Nakamura, Yoshimasa
2002
The discrete Lotka-Volterra system computes singular values. Zbl 0974.35110
Tsujimoto, Satoshi; Nakamura, Yoshimasa; Iwasaki, Masashi
2001
The discrete relativistic Toda molecule equation and a Padé approximation algorithm. Zbl 1078.81536
Minesaki, Yukitaka; Nakamura, Yoshimasa
2001
Algorithms associated with arithmetic, geometric and harmonic means and integrable systems. Zbl 0982.65136
Nakamura, Yoshimasa
2001
Integrable discretization of the modified KdV equation and applications. Zbl 0964.35152
Mukaihira, Atsushi; Nakamura, Yoshimasa
2000
Calculating Laplace transforms in terms of the Toda molecule. Zbl 0932.37060
Nakamura, Yoshimasa
1999
On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift. Zbl 0929.65127
Nakamura, Y.; Kajiwara, K.; Shiotani, H.
1998
On an integrable discretization of integrable systems with a separatrix. Zbl 1044.37535
Minesaki, Yukitaka; Nakamura, Yoshimasa
1998
Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form. Zbl 1306.65188
Nakamura, Yoshimasa
1997
On explicit solvable gradient systems of Moser-Karmarkar type. Zbl 0874.93052
Nakamura, Yoshimasa; Faybusovich, Leonid
1997
The BCH-Goppa decoding as a moment problem and a tau function over finite fields. Zbl 1037.94547
Nakamura, Yoshimasa
1996
Comparison of the calculations of the stability properties of a specific stellarator equilibrium with different MHD stability codes. Zbl 0860.76077
Nakamura, Y.; Matsumoto, T.; Wakatani, M.; Galkin, S. A.; Drozdov, V. V.; Martynov, A. A.; Poshekhonov, Yu. Yu.; Ichiguchi, K.; Garcia, L.; Carreras, B. A.; Nührenberg, C.; Cooper, W. A.; Johnson, J. L.
1996
Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions. Zbl 0837.58018
Nakamura, Yoshimasa; Kodama, Yuji
1995
Gradient systems associated with probability distributions. Zbl 0811.58036
Nakamura, Yoshimasa
1994
A tau-function of the finite nonperiodic Toda lattice. Zbl 0941.37537
Nakamura, Yoshimasa
1994
A tau-function for the finite Toda molecule, and information spaces. Zbl 0827.58025
Nakamura, Yoshimasa
1994
Neurodynamics and nonlinear integrable systems of Lax type. Zbl 0822.92003
Nakamura, Yoshimasa
1994
Lax pair and fixed point analysis of Karmarkar’s projective scaling trajectory for linear programming. Zbl 0799.90088
Nakamura, Yoshimasa
1994
On the discretization of the three-dimensional Volterra system. Zbl 0961.65500
Nakamura, Yoshimasa; Hashimoto, Taro
1994
Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions. Zbl 0814.58021
Nakamura, Yoshimasa
1993
Lax equations associated with a least squares problem and compact Lie algebras. Zbl 0799.58031
Nakamura, Yoshimasa
1993
Motion of a charged particle around a black hole permeated by magnetic field and its chaotic characters. Zbl 0800.70055
Nakamura, Y.; Ishizuka, T.
1993
A new nonlinear dynamical system that leads to eigenvalues. Zbl 0757.58020
Nakamura, Yoshimasa
1992
Erratum: A new nonlinear dynamical system that leads to eigenvalues. Zbl 0757.58021
Nakamura, Yoshimasa
1992
The level manifold of a generalized Toda equation hierarchy. Zbl 0767.58022
Nakamura, Yoshimasa
1992
Geometry of rational functions and nonlinear integrable systems. Zbl 0738.93018
Nakamura, Yoshimasa
1991
Some extremal problems related to majorization. Zbl 0736.46008
Ando, T.; Nakamura, Y.
1991
Self-dual Yang-Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions. Zbl 0736.58043
Nakamura, Yoshimasa
1991
Moduli space of SU(2) monopoles and complex cyclic-Toda hierarchy. Zbl 0705.58027
Nakamura, Yoshimasa
1990
Nonlinear integrable flow on the framed moduli space of instantons. Zbl 0729.58019
Nakamura, Yoshimasa
1990
Remarks on the moduli space of SU(2) monopoles and Toda flow. Zbl 0723.58009
Nakamura, Yoshimasa; Duncan, Tyrone E.
1990
Applications of transformation theory for nonlinear integrable systems to linear prediction problems and isospectral deformations. Zbl 0673.35090
Nakamura, Yoshimasa
1989
A new approach to the linear prediction problem for infinite stationary processes in terms of Riemann-Hilbert transformation theory. Zbl 0699.60029
Nakamura, Yoshimasa
1989
On self-dual Yang-Mills hierarchy. Zbl 0959.37512
Nakamura, Yoshimasa
1989
Transformation group acting on a self-dual Yang-Mills hierarchy. Zbl 0644.58042
Nakamura, Yoshimasa
1988
Group actions on linear predictors for nonstationary processes. Zbl 0643.60036
Nakamura, Yoshimasa
1988
Periodic reduction of self-dual Yang-Mills equations. Zbl 0783.58037
Nakamura, Yoshimasa
1988
Fractional transformation group induced by QR factorization and linear prediction problem. Zbl 0639.93057
Nakamura, Yoshimasa
1988
On a linearisation of the stationary axially symmetric Einstein equations. Zbl 0609.53024
Nakamura, Yoshimasa
1987
On Heisenberg models with values in Hermitian symmetric spaces. Zbl 0586.35033
Nakamura, Yoshimasa
1985
Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions. Zbl 0548.53031
Nakamura, Yoshimasa
1983
Transformation theory for anti-self-dual equations. Zbl 0524.58018
Ueno, Kimio; Nakamura, Yoshimasa
1983
Finite and postbuckling deformations of heated plates and shallow shells. Zbl 0544.73061
Kamiya, N.; Sawaki, Y.; Nakamura, Y.
1983
Ehlers-type transformation for SL(2,C) self-dual equations of gauge theory. Zbl 0521.58036
Nakamura, Yoshimasa
1983
An approximate finite deflection analysis of a heated elastic plate by the boundary element method. Zbl 0475.73085
Kamiya, N.; Sawaki, Y.; Nakamura, Y.; Fukui, A.
1982
Boundary element nonlinear bending analyses of clamped sandwich plates and shells. Zbl 0512.73081
Kamiya, N.; Sawaki, Y.; Nakamura, Y.
1982
On the construction of exact solutions of the stationary axially symmetric Einstein equations. Zbl 0483.35074
Nakamura, Yoshimasa
1981
Thermal bending analysis by boundary integral equation method. Zbl 0475.73084
Kamiya, N.; Sawaki, Y.; Nakamura, Y.
1981
On inverse scattering formula for Ernst equation. Zbl 0419.35069
Nakamura, Yoshimasa
1979
An analysis of binary flutter of bridge deck sections. Zbl 0386.73055
Nakamura, Y.
1978
all top 5

#### Cited by 238 Authors

 40 Nakamura, Yoshimasa 19 Iwasaki, Masashi 13 Hu, Xingbiao 8 Chang, Xiangke 8 Fukuda, Akiko 7 Elenin, G. G. 7 He, Yi 7 Ishiwata, Emiko 7 Yamamoto, Yusaku 6 Elenina, T. G. 6 Kondo, Koichi 4 Akaiwa, Kanae 4 Brezinski, Claude 4 Felipe, Raúl 4 Goto, Shinitiro 4 Li, Shihao 4 López-Reyes, Nancy 4 Marcellán Español, Francisco 4 Shinjo, Masato 4 Sun, Jianqing 3 Gao, Yajun 3 Kodama, Yuji 3 Mukaihira, Atsushi 3 Nagata, Munehiro 3 Qin, Qinghua 3 Szmigielski, Jacek 3 Zhedanov, Alexei S. 2 Ban, Masashi 2 Barndorff-Nielsen, Ole Eiler 2 Cieśliński, Jan L. 2 Garza, Luis E. 2 Gesztesy, Fritz 2 Hamanaka, Masashi 2 Holden, Helge 2 Hori, Gen-Ichiro 2 Huang, Yuying 2 Jupp, Peter E. 2 Liang, Bao-Long 2 Mañas, Manuel 2 Matos, Tonatiuh 2 Meng, Xiangguo 2 Mickelsson, Jouko 2 Nagatomo, Kiyokazu 2 Palazotto, Anthony N. 2 Redivo-Zaglia, Michela 2 Sakhnovich, Alexander L. 2 Sawa, Kaoru 2 Sekido, Hiroto 2 Shih, Kegang 2 Takahashi, You 2 Takasaki, Kanehisa 2 Tam, Hon-Wah 2 Tam, Honwah 2 Venturini, Wilson Sergio 2 Waidemam, Leandro 2 Wang, Jisuo 2 Wu, Xin 2 Ye, Jian 2 Zhang, Yingnan 2 Zhong, Zaizhe 1 Abdel-Aty, Mohamed 1 Abenda, Simonetta 1 Aleksandrov, P. A. 1 Álvarez-Fernández, Carlos 1 Amari, Shun-ichi 1 Ando, T. jun. 1 Ariznabarreta, Gerardo 1 Au, Vo Van 1 Ay, Nihat 1 Babilonia, Luis E. Benítez 1 Beals, Richard W. 1 Benítez-Babilonia, Luis 1 Bibik, Yu. V. 1 Binh, Tran Thanh 1 Blackmore, Denis L. 1 Bracciali, Cleonice F. 1 Can, Nguyen Huu 1 Cantero, María José 1 Cao, Liping 1 Castillo, Kenier 1 Castro Polo, Tovias 1 Champanerkar, Jyoti A. 1 Chen, Juhua 1 Chen, Xiaomin 1 Christiansen, Snorre Harald 1 Chu, Moody T. 1 Clarkson, Peter A. 1 Cooper, G. A. 1 Cooper, W. Anthony 1 Dale, Pat 1 Ding, Weiyue 1 Dong, Daoyi 1 Everitt, M. J. 1 Fan, Chen-Ming 1 Faybusovich, Leonid E. 1 Felipe-Sosa, Raúl 1 Feng, Baofeng 1 Fujiwara, Akio 1 Geronimo, Jeffrey S. 1 Grant, James D. E. ...and 138 more Authors
all top 5

#### Cited in 93 Serials

 15 Journal of Mathematical Physics 8 Communications in Mathematical Physics 8 Journal of Computational and Applied Mathematics 8 Numerical Algorithms 7 Japan Journal of Industrial and Applied Mathematics 6 Applied Mathematical Modelling 5 International Journal of Theoretical Physics 4 Computers & Mathematics with Applications 4 Advances in Mathematics 4 Differential Equations 4 Journal of Physics A: Mathematical and Theoretical 3 Physics Letters. A 3 Theoretical and Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Acta Applicandae Mathematicae 3 Physica D 3 Computational Mathematics and Mathematical Physics 3 Linear Algebra and its Applications 2 International Journal of Modern Physics A 2 Applicable Analysis 2 General Relativity and Gravitation 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 Applied Mathematics and Computation 2 Journal of Statistical Planning and Inference 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Studies in Applied Mathematics 2 Computational Mechanics 2 International Journal of Modern Physics D 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Journal of Difference Equations and Applications 2 International Journal of Modern Physics C 2 JSIAM Letters 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Ingenieur-Archiv 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Automatica 1 Calcolo 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Nuclear Physics, B, Proceedings Supplements 1 Numerical Linear Algebra with Applications 1 The Ramanujan Journal 1 Differential Equations and Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Czechoslovak Journal of Physics 1 Matematicheskoe Modelirovanie 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Quantum Information Processing 1 International Journal of Geometric Methods in Modern Physics 1 Acta Numerica 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal of Biomathematics 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Journal of Geometric Mechanics 1 Science China. Mathematics 1 Mathematical Control and Related Fields 1 East Asian Journal on Applied Mathematics 1 Quantum Studies: Mathematics and Foundations 1 Special Matrices 1 Nonlinear Analysis. Theory, Methods & Applications 1 Cogent Mathematics
all top 5

#### Cited in 39 Fields

 80 Dynamical systems and ergodic theory (37-XX) 54 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 26 Quantum theory (81-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 16 Special functions (33-XX) 15 Mechanics of deformable solids (74-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Relativity and gravitational theory (83-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of particles and systems (70-XX) 12 Differential geometry (53-XX) 10 Difference and functional equations (39-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 8 Systems theory; control (93-XX) 7 Statistics (62-XX) 7 Biology and other natural sciences (92-XX) 5 Nonassociative rings and algebras (17-XX) 4 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Astronomy and astrophysics (85-XX)