Feasibility and Structural Feature on Monotone Second-Order Cone Linear Complementarity Problems in Hilbert Space

Feasibility and Structural Feature on Monotone Second-Order Cone Linear Complementarity Problems in Hilbert Space

Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem（SOCLCP）is considered. Some conditions are investigated, forwhich the SOCLCP is feasible and solvable for any element q？H . The solution set of a monoton...

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Veröffentlicht in:Transactions of Tianjin University 2015-10, Vol.21 (4), p.377-382
Hauptverfasser: Miao, Xinhe, Guo, Shengjuan
Format: Artikel
Sprache:eng
Schlagworte:
complementarity
cone
cone
adjoint
Engineering
frame
Humanities and Social Sciences
Jordan
linear
Lorentz
Mechanical Engineering
multidisciplinary
operator
product
Science
second-order
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Zusammenfassung:Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem（SOCLCP）is considered. Some conditions are investigated, forwhich the SOCLCP is feasible and solvable for any element q？H . The solution set of a monotone SOCLCP isalso characterized. It is shown that the second-order cone and Jordan product are interconnected.
ISSN:1006-4982
1995-8196
DOI:10.1007/s12209-015-2531-8