- Title
- Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations
- Creator
- Wang, Xianfu; Yao, Liangjin
- Relation
- Mathematical Programming Vol. 139, Issue 1-2, p. 327-352
- Publisher Link
- http://dx.doi.org/10.1007/s10107-013-0674-8
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2013
- Description
- 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 Ocaña-Anaya.
- Subject
- adjoint of linear relation; linear relation; monotone operator; maximally monotone extensions; minty parametrization; 47H05; 47B65; 47A06; 49N15
- Identifier
- http://hdl.handle.net/1959.13/1300692
- Identifier
- uon:20119
- Identifier
- ISSN:0025-5610
- Language
- eng
- Reviewed
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