On the Range of the Pseudomonotone Second-Order Cone Linear Complementarity Problem

Wei Hong Yang (), Lei-Hong Zhang () and Chungen Shen ()
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Wei Hong Yang: Fudan University
Lei-Hong Zhang: Shanghai University of Finance and Economics
Chungen Shen: University of Shanghai for Science and Technology

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 2, No 7, 504-522

Abstract: Abstract In this paper, we provide a complete characterization of the range of the pseudomonotone second-order cone linear complementarity problem. In particular, by answering the three questions that under what conditions the range is the whole space, convex and closed, respectively, we explicitly characterize and formulate the range of the pseudomonotone second-order cone linear complementarity problem.

Keywords: Pseudomonotone; Range of the linear complementarity problem; J-eigenvalue; The globally uniquely solvable property; 90C33; 65K05 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-017-1090-7

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