[图书][B] Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces
M Ulbrich - 2011 - SIAM
This book provides a comprehensive treatment of a very successful class of methods for
solving optimization problems with PDE and inequality constraints as well as variational …
solving optimization problems with PDE and inequality constraints as well as variational …
SSVM: A smooth support vector machine for classification
YJ Lee, OL Mangasarian - Computational optimization and Applications, 2001 - Springer
Smoothing methods, extensively used for solving important mathematical programming
problems and applications, are applied here to generate and solve an unconstrained …
problems and applications, are applied here to generate and solve an unconstrained …
Smoothing methods for nonsmooth, nonconvex minimization
X Chen - Mathematical programming, 2012 - Springer
We consider a class of smoothing methods for minimization problems where the feasible set
is convex but the objective function is not convex, not differentiable and perhaps not even …
is convex but the objective function is not convex, not differentiable and perhaps not even …
Smoothing functions for second-order-cone complementarity problems
M Fukushima, ZQ Luo, P Tseng - SIAM Journal on optimization, 2002 - SIAM
Smoothing functions have been much studied in the solution of optimization and
complementarity problems with nonnegativity constraints. In this paper, we extend …
complementarity problems with nonnegativity constraints. In this paper, we extend …
New smoothing techniques for solving bang–bang optimal control problems—numerical results and statistical interpretation
R Bertrand, R Epenoy - Optimal Control Applications and …, 2002 - Wiley Online Library
In this paper, we investigate the solution of bang‐bang optimal control problems by shooting
methods. We will show how modifying the performance index by a term depending on a …
methods. We will show how modifying the performance index by a term depending on a …
A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
In this paper we take a new look at smoothing Newton methods for solving the nonlinear
complementarity problem (NCP) and the box constrained variational inequalities (BVI) …
complementarity problem (NCP) and the box constrained variational inequalities (BVI) …
Smoothing methods and semismooth methods for nondifferentiable operator equations
We consider superlinearly convergent analogues of Newton methods for nondifferentiable
operator equations in function spaces. The superlinear convergence analysis of semismooth …
operator equations in function spaces. The superlinear convergence analysis of semismooth …
A combined smoothing and regularization method for monotone second-order cone complementarity problems
S Hayashi, N Yamashita, M Fukushima - SIAM Journal on Optimization, 2005 - SIAM
The second-order cone complementarity problem (SOCCP) is a wide class of problems
containing the nonlinear complementarity problem (NCP) and the second-order cone …
containing the nonlinear complementarity problem (NCP) and the second-order cone …
Formulating an n-person noncooperative game as a tensor complementarity problem
In this paper, we consider a class of n-person noncooperative games, where the utility
function of every player is given by a homogeneous polynomial defined by the payoff tensor …
function of every player is given by a homogeneous polynomial defined by the payoff tensor …
[引用][C] Numerical methods for equations and its appli-cations
IK Argyros - 2012 - books.google.com
This book introduces advanced numerical-functional analysis to beginning computer
science researchers. The reader is assumed to have had basic courses in numerical …
science researchers. The reader is assumed to have had basic courses in numerical …