Abstract
Superfluous matrices were introduced by Howe (1983) in linear complementarity. In general, producing examples of this class is tedious (a few examples can be found in Chapter 6 of Cottle, Pang and Stone (1992)). To overcome this problem, we define a new class of matrices\(\bar Z\) and establish that in\(\bar Z\) superfluous matrices of any ordern ⩾ 4 can easily be constructed. For every integerk, an example of a superfluous matrix of degreek is exhibited in the end.
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Sridhar, R. Superfluous matrices in linear complementarity. Mathematical Programming 71, 195–206 (1995). https://doi.org/10.1007/BF01585998
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DOI: https://doi.org/10.1007/BF01585998