Edit Profile (opens in new tab) Yamamoto, Tetsuro Co-Author Distance Author ID: yamamoto.tetsuro Published as: Yamamoto, Tetsuro; Yamamoto, T. Documents Indexed: 96 Publications since 1935 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 26 Co-Authors with 38 Joint Publications 524 Co-Co-Authors all top 5 Co-Authors 53 single-authored 11 Chen, Xiaojun 11 Fang, Qing 5 Ishihara, Kazuo 4 Oishi, Shin’ichi 3 Li, Zi-Cai 3 Matsunaga, Nami 2 Atanassova, Lilija C. 2 Kanno, Sachio 2 Konishi, Toshio 2 Kyurkchiev, Nikolaĭ Veselinov 2 Muroya, Yoshiaki 2 Rohn, Jiri 2 Rump, Siegfried Michael 2 Shogenji, Yukihiro 1 Alefeld, Götz E. 1 Astafiev, O. 1 Averin, Dmitri V. 1 Awata, Hidetoshi 1 Chen, Xuzhou 1 Fukunaga, Yasuto 1 Guay, François 1 Guerette, S. 1 Hu, Hsin-Yun 1 Ikebe, Yasuhiko 1 Inaba, I. 1 Kakinuma, R. 1 Kakutani, Tsunehiko 1 Kawata, Yoshiki 1 Kusumoto, Mitsuru 1 Larose, Chantal D. 1 Matsubara, Tatsuo 1 Matsuo, Yutaka 1 Moriyama, Noriyuki 1 Nashed, M. Zuhair 1 Nashed, Zuhair 1 Niki, Noboru 1 Ninomiya, Takeshi 1 Nolet, A. 1 Ohmatsu, Hironobu 1 Oohara, M. 1 Pashkin, Yu. A. 1 Solis, Jorge 1 Takanishi, Atsuo 1 Taniguchi, Koichi 1 Taoka, H. 1 Tilma, Todd 1 Tsuchiya, Takuya 1 Yoshinaga, Takao all top 5 Serials 12 Numerical Functional Analysis and Optimization 11 Journal of Computational and Applied Mathematics 9 Numerische Mathematik 7 Japan Journal of Applied Mathematics 6 Japan Journal of Industrial and Applied Mathematics 6 RIMS Kokyuroku 5 Mathematica Japonica 2 Computing 2 Linear Algebra and its Applications 2 Numerical Linear Algebra with Applications 2 Progress of Theoretical Physics 1 Ingenieur-Archiv 1 Journal of Applied Mechanics 1 Journal of Mathematical Physics 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of the Kyushu Institute of Technology. Mathematics, Natural Science 1 Journal of Information Processing 1 Journal of the Mathematical Society of Japan 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Memoirs of Numerical Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 Sūgaku 1 Sugaku Expositions 1 Economics Letters 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Sciences (New York) 1 Mechanism and Machine Theory 1 Information 1 International Journal of Quantum Information 1 Journal of Science of the Hiroshima University. Series A-I 1 Lecture Notes in Numerical and Applied Analysis 1 RIMS Kokyuroku all top 5 Fields 81 Numerical analysis (65-XX) 18 Operator theory (47-XX) 14 Partial differential equations (35-XX) 11 Ordinary differential equations (34-XX) 10 General and overarching topics; collections (00-XX) 7 Functions of a complex variable (30-XX) 6 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 756 times in 491 Documents Cited by ▼ Year ▼ A convergence theorem for Newton-like methods in Banach spaces. Zbl 0633.65049 Yamamoto, Tetsuro 80 1987 Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028 Chen, Xiaojun; Yamamoto, Tetsuro 75 1989 A method for finding sharp error bounds for Newton’s method under the Kantorovich assumptions. Zbl 0607.65033 Yamamoto, Tetsuro 61 1986 On the method of tangent hyperbolas in Banach spaces. Zbl 0632.65070 Yamamoto, Tetsuro 47 1988 Historical developments in convergence analysis for Newton’s and Newton-like methods. Zbl 0965.65079 Yamamoto, Tetsuro 44 2000 Inversion of band matrices. Zbl 0408.15004 Yamamoto, Tetsuro; Ikebe, Yasuhiko 32 1979 On some methods for the simultaneous determination of polynomial zeros. Zbl 0859.65047 Kanno, Sachio; Kjurkchiev, Nikolai V.; Yamamoto, Tetsuro 28 1996 Superconvergence of the Shortley-Weller approximation for Dirichlet problems. Zbl 0952.65082 Matsunaga, Nami; Yamamoto, Tetsuro 26 2000 A note on a posteriori error bound of Zabrejko and Nguen for Zincenko’s iteration. Zbl 0625.65053 Yamamoto, Tetsuro 23 1987 On the extreme values of the roots of matrices. Zbl 0152.01404 Yamamoto, Tetsuro 23 1967 Error bounds for computed eigenvalues and eigenvectors. Zbl 0411.65022 Yamamoto, Tetsuro 22 1980 On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators. Zbl 0801.65048 Chen, X.; Yamamoto, T. 21 1992 Inversion formulas for tridiagonal matrices with applications to boundary value problems. Zbl 0996.15006 Yamamoto, Tetsuro 19 2001 Validated computation of polynomial zeros by the Durand-Kerner method. Zbl 0810.65042 Yamamoto, T.; Kanno, S.; Atanassova, L. 19 1994 Error bounds for computed eigenvalues and eigenvectors. II. Zbl 0491.65021 Yamamoto, Tetsuro 13 1982 Finite difference, finite element and finite volume methods applied to two-point boundary value problems. Zbl 0993.65082 Fang, Qing; Tsuchiya, Takuya; Yamamoto, Tetsuro 13 2002 Error bounds for approximate solutions of systems of equations. Zbl 0571.65035 Yamamoto, Tetsuro 13 1984 A unified derivation of several error bounds for Newton’s process. Zbl 0582.65047 Yamamoto, T. 13 1985 Superconvergence of solution derivatives for the Shortley-Weller difference approximation of Poisson’s equation. II: Sigularity problems. Zbl 1031.65118 Li, Zi-Cai; Hu, Hsin-Yun; Fang, Qing; Yamamoto, Tetsuro 13 2003 Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108 Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun 12 2001 Error bounds for Newton-like methods under Kantorovich type assumptions. Zbl 0618.65047 Yamamoto, Tetsuro 12 1986 Superconvergence of solution derivatives for the Shortley–Weller difference approximation of Poisson’s equation. I: Smoothness problems. Zbl 1030.65108 Li, Zi-Cai; Yamamoto, Tetsuro; Fang, Qing 12 2003 Error bounds for Newton’s process derived from the Kantorovich theorem. Zbl 0624.65046 Yamamoto, Tetsuro 11 1985 Uniqueness for the solution in a Kantorovich-type theorem of Häußler for the Gauss-Newton method. Zbl 0667.65053 Yamamoto, Tetsuro 10 1989 Collective field description of spin Calogero-Sutherland models. Zbl 0897.47059 Awata, H.; Matsuo, Y.; Yamamoto, T. 10 1996 Error bounds for Newton’s iterates derived from the Kantorovich theorem. Zbl 0567.65027 Yamamoto, Tetsuro 10 1986 Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042 Yamamoto, Tetsuro; Chen, Xiaojun 10 1990 Convergence of consistent and inconsistent finite difference schemes and an acceleration technique. Zbl 1004.65107 Yamamoto, Tetsuro 9 2002 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. 9 2003 Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048 Chen, Xiaojun; Yamamoto, Tetsuro 8 1994 A computational method for the dominant root of a nonnegative irreducible matrix. Zbl 0163.38801 Yamamoto, Tetsuro 8 1966 A convergence theorem for Newton’s method in Banach spaces. Zbl 0618.65045 Yamamoto, Tetsuro 8 1986 An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations. Zbl 0695.65032 Yamamoto, Tetsuro; Chen, Xiaojun 8 1990 Componentwise error estimates for approximate solutions of nonlinear equations. Zbl 0441.65038 Yamamoto, Tetsuro 8 1979 Convergence of Swartztrauber-Sweet’s approximation for the Poisson-type equation on a disk. Zbl 0948.65109 Matsunaga, Nami; Yamamoto, Tetsuro 7 1999 Superconvergence of finite difference approximations for convection-diffusion problems. Zbl 1051.65087 Fang, Qing; Yamamoto, Tetsuro 5 2001 On nonlinear SOR-like methods. II: Convergence of the SOR-Newton method for mildly nonlinear equations. Zbl 0881.65041 Ishihara, Kazuo; Muroya, Yoshiaki; Yamamoto, Tetsuro 5 1997 Infinite-dimensional representations of the graded Lie algebra (Sp(4):4). Representation of the para-Bose operators with real order of quantization. Zbl 0487.17004 Inaba, I.; Maekawa, T.; Yamamoto, T. 4 1982 An existence theorem of solution to boundary value problems and its application to error estimates. Zbl 0491.34021 Yamamoto, Tetsuro 4 1982 Smoothing Newton methods for nonsmooth Dirichlet problems. Zbl 0932.65112 Chen, Xiaojun; Matsunaga, Nami; Yamamoto, Tetsuro 4 1999 On the distribution of errors in the iterative solution of a system of linear equations. Zbl 0288.65019 Yamamoto, Tetsuro 4 1975 Theoretical discussions on vibrations of a rotating shaft with nonlinear spring characteristics. Zbl 0356.73063 Yamamoto, T.; Ishida, Y. 4 1977 Error analysis of adaptive finite difference methods using stretching functions for polar coordinate form of Poisson-type equation. Zbl 1030.65111 Fang, Qing; Shogenji, Yukihiro; Yamamoto, Tetsuro 4 2003 Discretization principles for linear two-point boundary value problems. Zbl 1151.65064 Yamamoto, Tetsuro 3 2007 A mathematical theory for numerical treatment of nonlinear two-point boundary value problems. Zbl 1105.34009 Yamamoto, Tetsuro; Oishi, Shin’ichi 3 2006 Discretization principles for linear two-point boundary value problems. II. Zbl 1151.65065 Yamamoto, Tetsuro; Oishi, Shin’ichi; Fang, Qing 2 2008 Componentwise error estimates for approximate solutions of systems of equations. Zbl 0491.65020 Yamamoto, Tetsuro 2 1981 A posteriori componentwise error estimate for a computed solution of a system of linear equations. Zbl 0519.65018 Yamamoto, Tetsuro 2 1982 Alternative representation for asymptotic distributions of impulse responses in cointegrated VAR systems. Zbl 0953.91052 Arai, Y.; Yamamoto, T. 2 2000 Estimation in dynamic regression with an integrated process. Zbl 0883.62102 Maekawa, K.; Yamamoto, T.; Takeuchi, Y.; Hatanaka, M. 2 1996 A note on the spectral mapping theorem. Zbl 0208.16002 Yamamoto, Tetsuro 2 1971 Convergence of inconsistent finite difference scheme for Dirichlet problem whose solution has singular derivatives at the boundary. Zbl 1046.65087 Fang, Qing; Matsubara, Tatsuo; Shogenji, Yukihiro; Yamamoto, Tetsuro 2 2001 Validated computation of polynomial zeros by the Durand-Kerner method. II. Zbl 0810.65043 Kanno, S.; Yamamoto, T. 2 1994 Occurrence of the summed and differential harmonic oscillations in a nonlinear multidegree-of-freedom vibratory system. Zbl 0295.70013 Yamamoto, T.; Yasuda, K. 2 1974 On nonlinear SOR-like methods. I: Applications to simultaneous methods for polynomial zeros. Zbl 0881.65038 Yamamoto, Tetsuro 2 1997 A necessary and sufficient condition for the convergence of certain iterative methods for nonlinear equations. Zbl 0659.65061 Chen, Xiaojun; Yamamoto, Tetsuro 1 1988 SOR-like methods for the simultaneous determination of polynomial zeros. Zbl 0900.65150 Yamamoto, T. 1 1996 Symbolic algebraic methods and verification methods. Zbl 0963.00018 1 2001 A new insight of the Shortley-Weller approximation for Dirichlet problems. Zbl 0991.65523 Yamamoto, Tetsuro 1 2001 Harmonic relations between Green’s functions and Green’s matrices for boundary value problems. Zbl 0969.65510 Yamamoto, Tetsuro 1 2000 Methods for computing all roots of a polynomial simultaneously. Known results and open problems. Zbl 1038.65046 Atanassova, L.; Kyurkchiev, N.; Yamamoto, T. 1 2003 A fully digital real-time power system simulator based on PC-cluster. Zbl 1045.78502 Larose, C.; Guerette, S.; Guay, F.; Nolet, A.; Yamamoto, T.; Enomoto, H.; Kono, Y.; Hasegawa, Y.; Taoka, H. 1 2003 Erratum concerning “Superconvergence of finite difference approximations for convection-diffusion problems.”. Zbl 1051.65088 Fang, Qing; Yamamoto, Tetsuro 1 2001 On the eigenvalues of compact operators in a Hilbert space. Zbl 0159.19703 Yamamoto, Tetsuro 1 1968 On Lanczos’ algorithm for tri-diagonalization. Zbl 0181.17202 Yamamoto, Tetsuro 1 1968 Discretization principles for linear two-point boundary value problems. III. Zbl 1169.65075 Yamamoto, Tetsuro; Oishi, Shin’ichi; Nashed, M. Zuhair; Li, Zi-Cai; Fang, Qing 1 2008 Alternating iterations of finite element approximations applied to the nonlinear boundary value problem \(\Delta u=bu^ 2\). Zbl 0618.65099 Ishihara, Kazuo; Fukunaga, Yasuto; Yamamoto, Tetsuro 1 1985 PCG methods applied to a system of nonlinear equations. Zbl 0746.65045 Chen, Xiaojun; Yamamoto, Tetsuro 1 1991 Split nonsmooth equations and verification of solution. Zbl 0900.65174 Yamamoto, T. 1 1996 A convergence ball for multistep simplified Newton-like methods. Zbl 0801.65052 Chen, Xiaojun; Yamamoto, Tetsuro 1 1993 On nonlinear SOR-like methods. III: Global convergence of SOR, SSOR and USSOR methods for convex problems. Zbl 1306.65202 Ishihara, Kazuo; Yamamoto, Tetsuro 1 1998 Fold cobordism groups of Morse functions on surfaces with boundary. Zbl 1475.57045 Yamamoto, T. 1 2021 Fold cobordism groups of Morse functions on surfaces with boundary. Zbl 1475.57045 Yamamoto, T. 1 2021 Discretization principles for linear two-point boundary value problems. II. Zbl 1151.65065 Yamamoto, Tetsuro; Oishi, Shin’ichi; Fang, Qing 2 2008 Discretization principles for linear two-point boundary value problems. III. Zbl 1169.65075 Yamamoto, Tetsuro; Oishi, Shin’ichi; Nashed, M. Zuhair; Li, Zi-Cai; Fang, Qing 1 2008 Discretization principles for linear two-point boundary value problems. Zbl 1151.65064 Yamamoto, Tetsuro 3 2007 A mathematical theory for numerical treatment of nonlinear two-point boundary value problems. Zbl 1105.34009 Yamamoto, Tetsuro; Oishi, Shin’ichi 3 2006 Superconvergence of solution derivatives for the Shortley-Weller difference approximation of Poisson’s equation. II: Sigularity problems. Zbl 1031.65118 Li, Zi-Cai; Hu, Hsin-Yun; Fang, Qing; Yamamoto, Tetsuro 13 2003 Superconvergence of solution derivatives for the Shortley–Weller difference approximation of Poisson’s equation. I: Smoothness problems. Zbl 1030.65108 Li, Zi-Cai; Yamamoto, Tetsuro; Fang, Qing 12 2003 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. 9 2003 Error analysis of adaptive finite difference methods using stretching functions for polar coordinate form of Poisson-type equation. Zbl 1030.65111 Fang, Qing; Shogenji, Yukihiro; Yamamoto, Tetsuro 4 2003 Methods for computing all roots of a polynomial simultaneously. Known results and open problems. Zbl 1038.65046 Atanassova, L.; Kyurkchiev, N.; Yamamoto, T. 1 2003 A fully digital real-time power system simulator based on PC-cluster. Zbl 1045.78502 Larose, C.; Guerette, S.; Guay, F.; Nolet, A.; Yamamoto, T.; Enomoto, H.; Kono, Y.; Hasegawa, Y.; Taoka, H. 1 2003 Finite difference, finite element and finite volume methods applied to two-point boundary value problems. Zbl 0993.65082 Fang, Qing; Tsuchiya, Takuya; Yamamoto, Tetsuro 13 2002 Convergence of consistent and inconsistent finite difference schemes and an acceleration technique. Zbl 1004.65107 Yamamoto, Tetsuro 9 2002 Inversion formulas for tridiagonal matrices with applications to boundary value problems. Zbl 0996.15006 Yamamoto, Tetsuro 19 2001 Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108 Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun 12 2001 Superconvergence of finite difference approximations for convection-diffusion problems. Zbl 1051.65087 Fang, Qing; Yamamoto, Tetsuro 5 2001 Convergence of inconsistent finite difference scheme for Dirichlet problem whose solution has singular derivatives at the boundary. Zbl 1046.65087 Fang, Qing; Matsubara, Tatsuo; Shogenji, Yukihiro; Yamamoto, Tetsuro 2 2001 Symbolic algebraic methods and verification methods. Zbl 0963.00018 1 2001 A new insight of the Shortley-Weller approximation for Dirichlet problems. Zbl 0991.65523 Yamamoto, Tetsuro 1 2001 Erratum concerning “Superconvergence of finite difference approximations for convection-diffusion problems.”. Zbl 1051.65088 Fang, Qing; Yamamoto, Tetsuro 1 2001 Historical developments in convergence analysis for Newton’s and Newton-like methods. Zbl 0965.65079 Yamamoto, Tetsuro 44 2000 Superconvergence of the Shortley-Weller approximation for Dirichlet problems. Zbl 0952.65082 Matsunaga, Nami; Yamamoto, Tetsuro 26 2000 Alternative representation for asymptotic distributions of impulse responses in cointegrated VAR systems. Zbl 0953.91052 Arai, Y.; Yamamoto, T. 2 2000 Harmonic relations between Green’s functions and Green’s matrices for boundary value problems. Zbl 0969.65510 Yamamoto, Tetsuro 1 2000 Convergence of Swartztrauber-Sweet’s approximation for the Poisson-type equation on a disk. Zbl 0948.65109 Matsunaga, Nami; Yamamoto, Tetsuro 7 1999 Smoothing Newton methods for nonsmooth Dirichlet problems. Zbl 0932.65112 Chen, Xiaojun; Matsunaga, Nami; Yamamoto, Tetsuro 4 1999 On nonlinear SOR-like methods. III: Global convergence of SOR, SSOR and USSOR methods for convex problems. Zbl 1306.65202 Ishihara, Kazuo; Yamamoto, Tetsuro 1 1998 On nonlinear SOR-like methods. II: Convergence of the SOR-Newton method for mildly nonlinear equations. Zbl 0881.65041 Ishihara, Kazuo; Muroya, Yoshiaki; Yamamoto, Tetsuro 5 1997 On nonlinear SOR-like methods. I: Applications to simultaneous methods for polynomial zeros. Zbl 0881.65038 Yamamoto, Tetsuro 2 1997 On some methods for the simultaneous determination of polynomial zeros. Zbl 0859.65047 Kanno, Sachio; Kjurkchiev, Nikolai V.; Yamamoto, Tetsuro 28 1996 Collective field description of spin Calogero-Sutherland models. Zbl 0897.47059 Awata, H.; Matsuo, Y.; Yamamoto, T. 10 1996 Estimation in dynamic regression with an integrated process. Zbl 0883.62102 Maekawa, K.; Yamamoto, T.; Takeuchi, Y.; Hatanaka, M. 2 1996 SOR-like methods for the simultaneous determination of polynomial zeros. Zbl 0900.65150 Yamamoto, T. 1 1996 Split nonsmooth equations and verification of solution. Zbl 0900.65174 Yamamoto, T. 1 1996 Validated computation of polynomial zeros by the Durand-Kerner method. Zbl 0810.65042 Yamamoto, T.; Kanno, S.; Atanassova, L. 19 1994 Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048 Chen, Xiaojun; Yamamoto, Tetsuro 8 1994 Validated computation of polynomial zeros by the Durand-Kerner method. II. Zbl 0810.65043 Kanno, S.; Yamamoto, T. 2 1994 A convergence ball for multistep simplified Newton-like methods. Zbl 0801.65052 Chen, Xiaojun; Yamamoto, Tetsuro 1 1993 On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators. Zbl 0801.65048 Chen, X.; Yamamoto, T. 21 1992 PCG methods applied to a system of nonlinear equations. Zbl 0746.65045 Chen, Xiaojun; Yamamoto, Tetsuro 1 1991 Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042 Yamamoto, Tetsuro; Chen, Xiaojun 10 1990 An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations. Zbl 0695.65032 Yamamoto, Tetsuro; Chen, Xiaojun 8 1990 Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028 Chen, Xiaojun; Yamamoto, Tetsuro 75 1989 Uniqueness for the solution in a Kantorovich-type theorem of Häußler for the Gauss-Newton method. Zbl 0667.65053 Yamamoto, Tetsuro 10 1989 On the method of tangent hyperbolas in Banach spaces. Zbl 0632.65070 Yamamoto, Tetsuro 47 1988 A necessary and sufficient condition for the convergence of certain iterative methods for nonlinear equations. Zbl 0659.65061 Chen, Xiaojun; Yamamoto, Tetsuro 1 1988 A convergence theorem for Newton-like methods in Banach spaces. Zbl 0633.65049 Yamamoto, Tetsuro 80 1987 A note on a posteriori error bound of Zabrejko and Nguen for Zincenko’s iteration. Zbl 0625.65053 Yamamoto, Tetsuro 23 1987 A method for finding sharp error bounds for Newton’s method under the Kantorovich assumptions. Zbl 0607.65033 Yamamoto, Tetsuro 61 1986 Error bounds for Newton-like methods under Kantorovich type assumptions. Zbl 0618.65047 Yamamoto, Tetsuro 12 1986 Error bounds for Newton’s iterates derived from the Kantorovich theorem. Zbl 0567.65027 Yamamoto, Tetsuro 10 1986 A convergence theorem for Newton’s method in Banach spaces. Zbl 0618.65045 Yamamoto, Tetsuro 8 1986 A unified derivation of several error bounds for Newton’s process. Zbl 0582.65047 Yamamoto, T. 13 1985 Error bounds for Newton’s process derived from the Kantorovich theorem. Zbl 0624.65046 Yamamoto, Tetsuro 11 1985 Alternating iterations of finite element approximations applied to the nonlinear boundary value problem \(\Delta u=bu^ 2\). Zbl 0618.65099 Ishihara, Kazuo; Fukunaga, Yasuto; Yamamoto, Tetsuro 1 1985 Error bounds for approximate solutions of systems of equations. Zbl 0571.65035 Yamamoto, Tetsuro 13 1984 Error bounds for computed eigenvalues and eigenvectors. II. Zbl 0491.65021 Yamamoto, Tetsuro 13 1982 Infinite-dimensional representations of the graded Lie algebra (Sp(4):4). Representation of the para-Bose operators with real order of quantization. Zbl 0487.17004 Inaba, I.; Maekawa, T.; Yamamoto, T. 4 1982 An existence theorem of solution to boundary value problems and its application to error estimates. Zbl 0491.34021 Yamamoto, Tetsuro 4 1982 A posteriori componentwise error estimate for a computed solution of a system of linear equations. Zbl 0519.65018 Yamamoto, Tetsuro 2 1982 Componentwise error estimates for approximate solutions of systems of equations. Zbl 0491.65020 Yamamoto, Tetsuro 2 1981 Error bounds for computed eigenvalues and eigenvectors. Zbl 0411.65022 Yamamoto, Tetsuro 22 1980 Inversion of band matrices. Zbl 0408.15004 Yamamoto, Tetsuro; Ikebe, Yasuhiko 32 1979 Componentwise error estimates for approximate solutions of nonlinear equations. Zbl 0441.65038 Yamamoto, Tetsuro 8 1979 Theoretical discussions on vibrations of a rotating shaft with nonlinear spring characteristics. Zbl 0356.73063 Yamamoto, T.; Ishida, Y. 4 1977 On the distribution of errors in the iterative solution of a system of linear equations. Zbl 0288.65019 Yamamoto, Tetsuro 4 1975 Occurrence of the summed and differential harmonic oscillations in a nonlinear multidegree-of-freedom vibratory system. Zbl 0295.70013 Yamamoto, T.; Yasuda, K. 2 1974 A note on the spectral mapping theorem. Zbl 0208.16002 Yamamoto, Tetsuro 2 1971 On the eigenvalues of compact operators in a Hilbert space. Zbl 0159.19703 Yamamoto, Tetsuro 1 1968 On Lanczos’ algorithm for tri-diagonalization. Zbl 0181.17202 Yamamoto, Tetsuro 1 1968 On the extreme values of the roots of matrices. Zbl 0152.01404 Yamamoto, Tetsuro 23 1967 A computational method for the dominant root of a nonnegative irreducible matrix. Zbl 0163.38801 Yamamoto, Tetsuro 8 1966 all cited Publications top 5 cited Publications all top 5 Cited by 467 Authors 102 Argyros, Ioannis Konstantinos 42 Yamamoto, Tetsuro 36 Hernández, Miguel Ángel 26 Ezquerro, José Antonio 26 Hilout, Saïd 19 Fang, Qing 16 Gutiérrez, José Manuel 15 Chen, Xiaojun 14 Magreñán, Ángel Alberto 12 Li, Zi-Cai 11 Petković, Miodrag S. 10 Salanova, M. Amparo 9 Shams, Mudassir 8 Kyurkchiev, Nikolaĭ Veselinov 8 Mir, Nazir Ahmad 8 Mukaidani, Hiroaki 8 Rafiq, Naila 6 Agarwal, Praveen 6 González, Daniel 6 Hernández-Verón, Miguel Ángel 6 Kausar, Nasreen 6 Miyajima, Shinya 6 Oishi, Shin’ichi 6 Ren, Hongmin 5 George, Santhosh 5 Hu, Hsin-Yun 5 Huang, Zhengda 4 Chen, Dong 4 Cho, Yeol Je 4 Cianciaruso, Filomena 4 De Pascale, Espedito 4 El-Mikkawy, Moawwad E. A. 4 Huang, Hung-Tsai 4 Khattri, Sanjay K. 4 Marek, Ivo 4 Proinov, Petko D. 4 Sicilia, Juan Antonio 3 Agarwal, Ravi P. 3 Candela, Vicente F. 3 Herceg, Đorđe D. 3 Ilić, Snežana M. 3 Ishihara, Kazuo 3 Jia, Jiteng 3 Koca, Ilknur 3 Martínez, José Mario 3 Ogita, Takeshi 3 Park, Choonkil 3 Qi, Liqun 3 Rubio, María Jesús 3 Rump, Siegfried Michael 3 Ujević, Nenad 3 Wang, Song 3 Zhang, Xiaoyu 2 Abderramán Marrero, J. 2 Ahn, Soyoung 2 Akram, Saima 2 Alkahtani, Badr Saad T. 2 Amat Plata, Sergio 2 Atanassova, Lilija C. 2 Atlan, Faiz 2 Bhatta, Sukanta Kumar 2 Bouchon, François 2 Busquier, Sonia 2 Chen, Jinhai 2 Chen, Xuzhou 2 Cheng, Xiaoliang 2 da Fonseca, Carlos Martins 2 Ferreira, Orizon Pereira 2 Galperin, Anatoly M. 2 Gao, Qin 2 Gohberg, Israel 2 González Ortiz, Manuel 2 Gupta, Dharmendra Kumar 2 Huang, Huajun 2 Iliev, Anton I. 2 Imakura, Akira 2 Ishiwata, Emiko 2 James, Nicolas 2 Jin, Xiaoqing 2 Jomaa, Ziad 2 Kelley, Carl T. 2 Kim, Philsu 2 Kolotilina, Lily Yu. 2 Li, Zhe 2 Lu, Tzontzer 2 Macaskill, Charlie 2 Marquina, Antonio 2 Martínez, Eulalia 2 Meyer, Peter Wilhelm 2 Milošević, Dušan M. 2 Min, Chohong 2 Momani, Shaher M. 2 Morikuni, Keiichi 2 Muroya, Yoshiaki 2 Nashed, M. Zuhair 2 Onieva, Victor M. 2 Orcos, Lara 2 Peradze, Jemal 2 Petkova, Milena D. 2 Petković, Ljiljana D. ...and 367 more Authors all top 5 Cited in 127 Serials 71 Journal of Computational and Applied Mathematics 51 Applied Mathematics and Computation 34 Numerical Functional Analysis and Optimization 29 Linear Algebra and its Applications 19 International Journal of Computer Mathematics 17 Numerische Mathematik 17 Japan Journal of Industrial and Applied Mathematics 17 Numerical Algorithms 13 Journal of Mathematical Analysis and Applications 12 Computing 11 Applied Mathematics Letters 10 Computers & Mathematics with Applications 10 Journal of Complexity 6 Japan Journal of Applied Mathematics 5 Journal of Computational Physics 5 BIT 5 Journal of Optimization Theory and Applications 5 Journal of Applied Mathematics and Computing 4 Advances in Difference Equations 3 Bulletin of the Australian Mathematical Society 3 Czechoslovak Mathematical Journal 3 Applied Numerical Mathematics 3 Computational Optimization and Applications 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 3 Fractals 3 Journal of Mathematical Chemistry 3 Special Matrices 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Aplikace Matematiky 2 Mathematica Slovaca 2 Monatshefte für Mathematik 2 Zeitschrift für Analysis und ihre Anwendungen 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Applications of Mathematics 2 Journal of Global Optimization 2 European Journal of Operational Research 2 Complexity 2 Mathematical Problems in Engineering 2 Optimization Methods & Software 2 Mediterranean Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Set-Valued and Variational Analysis 2 Journal of Computational Dynamics 2 International Journal of Engineering Mathematics 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 International Journal of General Systems 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Annals of the Institute of Statistical Mathematics 1 Automatica 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Matematički Vesnik 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Operations Research Letters 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Optimization 1 Journal of Symbolic Computation 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Economics Letters 1 Aequationes Mathematicae 1 Communications in Statistics. Theory and Methods 1 Stochastic Processes and their Applications 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Cybernetics and Systems Analysis 1 SIAM Journal on Scientific Computing 1 Journal of Algebraic Geometry 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 Filomat 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Reliable Computing 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Applied Analysis 1 Soft Computing 1 Journal of Shanghai University 1 Discrete Dynamics in Nature and Society 1 Journal of Applied Statistics 1 Journal of Mathematical Fluid Mechanics ...and 27 more Serials all top 5 Cited in 41 Fields 425 Numerical analysis (65-XX) 168 Operator theory (47-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 44 Partial differential equations (35-XX) 33 Operations research, mathematical programming (90-XX) 31 Ordinary differential equations (34-XX) 24 Integral equations (45-XX) 20 Functions of a complex variable (30-XX) 19 Field theory and polynomials (12-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Real functions (26-XX) 11 Computer science (68-XX) 9 Systems theory; control (93-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Difference and functional equations (39-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 5 Number theory (11-XX) 5 Special functions (33-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Biology and other natural sciences (92-XX) 4 Commutative algebra (13-XX) 4 Functional analysis (46-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Citations by Year