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Volume 4, Issue 2
The Monotonicity of the Linear Complementarity Problem

Ximing Fang & Minhai Huang

DOI: 10.12150/jnma.2022.161

J. Nonl. Mod. Anal., 4 (2022), pp. 161-170.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The monotonicity of the linear complementarity problem (LCP) is discussed in this paper. Both the monotone property about the single element of the solution and the monotone property of the whole solution are presented. In order to illustrate the results, some corresponding numerical experiments are provided.

  • Keywords

Linear complementarity problem, Solution, Monotonicity.

  • AMS Subject Headings

65G20, 65G50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-161, author = {Fang , Ximing and Huang , Minhai}, title = {The Monotonicity of the Linear Complementarity Problem}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {2}, pages = {161--170}, abstract = {

The monotonicity of the linear complementarity problem (LCP) is discussed in this paper. Both the monotone property about the single element of the solution and the monotone property of the whole solution are presented. In order to illustrate the results, some corresponding numerical experiments are provided.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.161}, url = {http://global-sci.org/intro/article_detail/jnma/20701.html} }
TY - JOUR T1 - The Monotonicity of the Linear Complementarity Problem AU - Fang , Ximing AU - Huang , Minhai JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 161 EP - 170 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.161 UR - https://global-sci.org/intro/article_detail/jnma/20701.html KW - Linear complementarity problem, Solution, Monotonicity. AB -

The monotonicity of the linear complementarity problem (LCP) is discussed in this paper. Both the monotone property about the single element of the solution and the monotone property of the whole solution are presented. In order to illustrate the results, some corresponding numerical experiments are provided.

Ximing Fang & Minhai Huang. (2022). The Monotonicity of the Linear Complementarity Problem. Journal of Nonlinear Modeling and Analysis. 4 (2). 161-170. doi:10.12150/jnma.2022.161
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