[LIBRO][B] Tensor eigenvalues and their applications

L Qi, H Chen, Y Chen - 2018 - Springer
Tensors, as geometric objects that describe linear or multi-linear relations between
geometric vectors, scalars, and other tensors, have provided a concise mathematical …

[LIBRO][B] Evaluating gas network capacities

T Koch, B Hiller, ME Pfetsch, L Schewe - 2015 - SIAM
Structure of this book and how to read it This book is divided into three parts: Part I
Fundamentals, Part II Validation of nominations, Part III Verification of booked capacities …

[LIBRO][B] Nonsmooth equations in optimization: regularity, calculus, methods and applications

D Klatte, B Kummer - 2002 - books.google.com
Many questions dealing with solvability, stability and solution methods for va-ational
inequalities or equilibrium, optimization and complementarity problems lead to the analysis …

Variationally consistent discretization schemes and numerical algorithms for contact problems

B Wohlmuth - Acta Numerica, 2011 - cambridge.org
We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

Semismooth Newton methods for operator equations in function spaces

M Ulbrich - SIAM Journal on Optimization, 2002 - SIAM
We develop a semismoothness concept for nonsmooth superposition operators in function
spaces. The considered class of operators includes nonlinear complementarity problem …

Expected residual minimization method for stochastic linear complementarity problems

X Chen, M Fukushima - Mathematics of Operations …, 2005 - pubsonline.informs.org
This paper presents a new formulation for the stochastic linear complementarity problem
(SLCP), which aims at minimizing an expected residual defined by an NCP function. We …

Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method

OP Burdakov, C Kanzow, A Schwartz - SIAM Journal on Optimization, 2016 - SIAM
Optimization problems with cardinality constraints are very difficult mathematical programs
which are typically solved by global techniques from discrete optimization. Here we …

An unconstrained smooth minimization reformulation of the second-order cone complementarity problem

JS Chen, P Tseng - Mathematical Programming, 2005 - Springer
A popular approach to solving the nonlinear complementarity problem (NCP) is to
reformulate it as the global minimization of a certain merit function over ℝ n. A popular …

Tensor complementarity problems—part II: solution methods

L Qi, ZH Huang - Journal of Optimization Theory and Applications, 2019 - Springer
This work, with its three parts, reviews the state-of-the-art of studies for the tensor
complementarity problem and some related models. In the first part of this paper, we have …

Distributed competition of multi-robot coordination under variable and switching topologies

L **, Y Qi, X Luo, S Li, M Shang - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This paper investigates a distributed competition behavior in multi-robot coordination under
variable communication topology and switching one. In terms of multi-robot competition …