Maximally Monotone Linear Subspace Extensions of Monotone Subspaces: Explicit Constructions and Characterizations
Functional Analysis
2011-03-09 v1
Abstract
Monotone linear relations play important roles in variational inequality problems and quadratic optimizations. In this paper, we give explicit maximally monotone linear subspace extensions of a monotone linear relation in finite dimensional spaces. Examples are provided to illustrate our extensions. Our results generalize a recent result by Crouzeix and Anaya.
Cite
@article{arxiv.1103.1409,
title = {Maximally Monotone Linear Subspace Extensions of Monotone Subspaces: Explicit Constructions and Characterizations},
author = {Xianfu Wang and Liangjin Yao},
journal= {arXiv preprint arXiv:1103.1409},
year = {2011}
}
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27 pages