|国家预印本平台
首页|The monotone extended second order cone and mixed complementarity problems

The monotone extended second order cone and mixed complementarity problems

The monotone extended second order cone and mixed complementarity problems

来源:Arxiv_logoArxiv
英文摘要

In this paper, we study a new generalization of the Lorentz cone, called the Monotone Extended Second Order Cone (MESOC). We investigate basic properties of MESOC including computation of its Lyapunov rank and proving its reducibility. Moreover, we show that in an ambient space, a cylinder is an isotonic projection set with respect to MESOC. We also examine a Nonlinear Complementarity Problem on a cylinder, which is equivalent to a suitable Mixed Complementarity Problem and provide a computational example illustrating applicability of MESOC.

R. Sznajder、S. Z. N¨|meth、Y. Gao

数学

R. Sznajder,S. Z. N¨|meth,Y. Gao.The monotone extended second order cone and mixed complementarity problems[EB/OL].(2021-03-08)[2025-08-23].https://arxiv.org/abs/2103.04830.点此复制

评论