A Monotone Semismooth Newton Method for a Kind of Tensor Complementarity Problem
نویسندگان
چکیده
منابع مشابه
A semismooth Newton method for tensor eigenvalue complementarity problem
In this paper, we consider the tensor eigenvalue complementarity problem which is closely related to the optimality conditions for polynomial optimization, as well as a class of differential inclusions with nonconvex processes. By introducing an NCP-function, we reformulate the tensor eigenvalue complementarity problem as a system of nonlinear equations. We show that this function is strongly s...
متن کاملA feasible semismooth asymptotically Newton method for mixed complementarity problems
Semismooth Newton methods constitute a major research area for solving mixed complementarity problems (MCPs). Early research on semismooth Newton methods is mainly on infeasible methods. However, some MCPs are not well defined outside the feasible region or the equivalent unconstrained reformulations of other MCPs contain local minimizers outside the feasible region. As both these problems coul...
متن کاملA least-square semismooth Newton method for the second-order cone complementarity problem
We present a nonlinear least-square formulation for the second-order cone complementarity problem based on the Fischer-Burmeister (FB) function and the plus function. The formulation has twofold advantages. Firstly, the operator involved in the overdetermined system of equations inherits the favorable properties of the FB function for local convergence, for example, the (strong) semismoothness....
متن کاملProperties of a Class of Ncp-functions and a Related Semismooth Newton Method for Complementarity Problems
In this paper, we aim to explore properties of a class of NCP-functions and investigate a related semismooth Newton method for complementarity problems. Some favorite properties about the class of NCP-functions and its merit function are discussed including strong semismoothness, continuous differentiability and the nonsingularity of the element in C-subdifferential. In particular, we present a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2021
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2021.114023