- K. Ueda and N. Yamashita, Global complexity bound analysis of the Levenberg-Marquardt method for nonsmooth equations and its application to the nonlinear complementarity problem, Journal of Optimization Theory and Applications, to appear.
- Y.-H. Dai and N. Yamashita,Convergence analysis of sparse quasi-Newton
updates with positive definite matrix completion for two-dimensional functions,
Numerical Analysis, Control and Optimization 1 (2011), pp. 61-69.
- J. Takaki and N. Yamashita, A derivative-free trust-region algorithm for
unconstained optimization with controlled error, Numerical Analysis, Control
and Optimization 1 (2011), pp. 117-145.
- K. Ueda and N. Yamashita, On a global complexity bound of the Levenberg-Marquardt
Method, Journal of Optimization Theory and Applications 147 (2010), pp.
443-453.
- K. Ueda and N. Yamashita, Convergence properties of the regularized Newton
method for the unconstrained nonconvex optimization, Applied Mathematics
and Optimization 62 (2010), pp. 27--46.
- R.P. Agdeppa, N. Yamashita and M. Fukushima, Convex expected residual models for stochastic affine variational inequality problems and its application to the traffic equilibrium problem, Pacific Journal of Optimization 6 (2010), pp. 3-19.
- T. Seki, N. Yamashita and K. Kawamoto, New local search methods for improving
the Lagrangian-relaxation-based Unit commitment solution, IEEE Transactions
on Power Systems 25 (2010), pp. 272-283.
- N. Yamashita, Sparse quasi-Newton updates with positive definite matrix completion, Mathematical Programming 115 (2008), pp. 1-30.
- R.P. Agdeppa, N. Yamashita and M. Fukushima, An implicit programming approach for the road pricing problem with nonadditive route costs, Journal of Industrial and Management Optimization 4 (2008), pp. 183-197.
- R.P. Agdeppa, N. Yamashita and M. Fukushima, The traffic equilibrium problem
with nonadditive costs and its monotone mixed complementarity problem formulation,
Transportation research B 41 (2007), pp. 862-874.
- 池端祐介，山下信雄，「スペースデブリ観測レーダの操作計画に対する最長路アプローチ」，システム制御情報学会論文誌
20 (2007), pp. 205-215.
- N.
Yamashita and M. Fukushima, On the
level-boundedness of the natural residual function for variational inequality
problems, Pacific Journal of Optimization 1 (2005), pp. 625-630.
- S. Hayashi, N.
Yamashita and M. Fukushima, Robust Nash equilibria and second-order cone complementarity
problems, Journal of Nonlinear and Convex Analysis 6 (2005), pp. 283-296.
- S. Hayashi, T. Yamaguchi, N. Yamashita and M. Fukushima, A matrix
splitting method for symmetric affine second-order cone complementarity
problems, Journal of Computational and Applied Mathematics 175 (2005), pp. 335-353.
- S. Hayashi, N. Yamashita and M. Fukushima, A combined
smoothing and regularization method for monotone second-order cone
complementarity problems, SIAM Journal on Optimization 15 (2005), pp. 593-615.
- N. Yamashita and Z.-Q. Luo, A nonlinear complementarity approach to multiuser power control for digital subscriber lines, Optimization Methods and Software 19 (2004), pp. 633-652
- C. Kanzow, N. Yamashita and M. Fukushima, Levenberg-Marquardt
methods for constrained nonlinear equations with strong local convergence
properties, Journal of Computational and Applied Mathematics 172 (2004), pp. 375-397
- D.H.
Li, M. Fukushima, L. Qi and N. Yamashita, Regularized
Newton methods for convex minimization problems with singular solutions, Computational Optimization and Applications 28 (2004), pp. 131-147.
-
N. Yamashita, H. Dan and M. Fukushima, On the
identification of degenerate indices in the nonlinear complementarity problem
with the proximal point algorithm, Mathematical Programming 99 (2004), pp. 377-397.
-
H. Moriyama, N. Yamashita and M. Fukushima, The
incremental Gauss-Newton algorithm with adaptive stepsize rule, Computational Optimization and Applications 26 (2003), pp. 107-141.
- R.S.
Bipasha, K. Yamada, N. Yamashita and M. Fukushima, A linearly convergent descent
method for strongly monotone variational inequality problems, Journal
of Nonlinear and Convex Analysis 4 (2003), pp. 15-23.
-
H. Dan,
N. Yamashita and M. Fukushima,
A
superlinearly convergent algorithm for the monotone complementarity
problem without uniqueness
and nondegeneracy conditions,
Mathematics of Operations Research 27 (2002), pp. 743-753.
-
H. Dan, N. Yamashita and M. Fukushima, Convergence
properties of the inexact Levenberg-Marquardt method under local error bound,
Optimization Methods and Software 17 (2002), pp. 605-626.
-
N. Yamashita and M. Fukushima, On the
rate of convergence of the Levenberg-Marquardt method, Computing [Suppl] 15 (2001), pp. 227-238.
-
N. Yamashita, C. Kanzow, T. Morimoto and M. Fukushima, An
infeasible interior proximal method convex programming problems with linear
constraints, Journal of Nonlinear and Convex Analysis 2 (2001), pp.
139-156.
- N. Yamashita, J. Imai and M. Fukushima, The
proximal point algorithm for the P_0 complementarity problem, Complementarity: Applications, Algorithms and Extensions, M.C. Ferris,
O.L. Mangasarian and J.-S. Pang (eds.), Kluwer Academic Publishers, 2000,
pp. 361-379.
-
N. Yamashita and M. Fukushima, The
proximal point algorithm with genuine superlinear convergence for the monotone
complementarity problem, SIAM Journal on Optimization 11 (2001), pp. 364-379.
-
D. Li, N.
Yamashita and M. Fukushima, A nonsmooth equation based BFGS method for solving
KKT systems in mathematical programming, Journal of Optimization Theory and
Applications 109 (2001), pp. 123-167.
-
K. Yamada, N. Yamashita and M. Fukushima, A new derivative-free descent method for the nonlinear complementarity problem, Nonlinear Optimization and Related Topics, G. Di Pillo and F. Giannessi, eds., Kluwer Academic Publishers, 2000, pp. 463-487..
-
M.
Shibata, N. Yamashita and M. Fukushima, The extended semidefinite linear
complementarity problem: A reformulation approach, Nonlinear Analysis and
Convex Analysis, W. Takahashi and T. Tanaka (eds.), World Scientific,
Singapore, 1999, pp. 326-332.
-
N.
Yamashita, Some properties of the restricted NCP-functions for the nonlinear
complementarity problem, Journal of Optimization Theory and
Applications, 98 (1998), pp. 701-717.
-
N.
Yamashita and M. Fukushima, A new merit function and a descent method for
semidefinite complementarity problems, Reformulation: Nonsmooth,
Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima and L. Qi
(eds.), Kluwer Academic Publishers B.V., 1998, pp. 405-420.
-
C.
Kanzow, N. Yamashita and M. Fukushima, New NCP-functions and their properties,
Journal of Optimization Theory and Applications 94 (1997), pp. 115-135.
-
N.
Yamashita, K. Taji and M. Fukushima, Unconstrained optimization reformulations
of variational inequality problems, Journal of Optimization Theory and
Applications 92 (1997), pp. 439-456.
-
N.
Yamashita and M. Fukushima, Equivalent unconstrained minimization and global
error bounds for variational inequality problems, SIAM Journal on Control and
Optimization 35 (1997), pp. 273-284.
-
N.
Yamashita and M. Fukushima, Modified Newton methods for solving a semismooth
reformulation of monotone complementarity problems, Mathematical Programming
76 (1997), pp. 469-491.
-
P.
Tseng, N. Yamashita and M. Fukushima, Equivalence of complementarity problems
to differentiable minimization: A unified approach, SIAM Journal on
Optimization 6 (1996), pp. 446-460.
-
N.
Yamashita and M. Fukushima, On stationary points of the implicit Lagrangian
for nonlinear complementarity problems, Journal of Optimization Theory and
Applications 84 (1995), pp. 653-663.