A reduction theorem for the linear complementarity problem with a certain patterned matrix |
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| Authors: | Ikuyo Kaneko |
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| Affiliation: | Department of Industrial Engineering University of Wisconsin-Madison 1513 University Avenue Madison, Wisconsin 53706, USA |
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| Abstract: | Matrices with a certain pattern are defined and their properties are studied. A reduction theorem is stated and proved which can be used to reduce the size of the linear complementarity problem defined by a matrix with the pattern. The identification of the pattern and the reduction theorem provide a mathematical model for a problem in structural mechanics when a certain symmetry prevails in the structural problem to be analyzed. |
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