Corpus ID: 237571921

On Some Properties of $K$- type Block Matrices in the context of Complementarity Problem

@inproceedings{Dutta2021OnSP,
  title={On Some Properties of \$K\$- type Block Matrices in the context of Complementarity Problem},
  author={A. Dutta and A. K. Das},
  year={2021}
}
  • A. Dutta, A. K. Das
  • Published 20 September 2021
  • Mathematics
In this article we introduceK-type block matrices which include two new classes of block matrices namely block triangularK-matrices and hidden block triangular K-matrices. We show that the solution of linear complementarity problem with K-type block matrices can be obtained by solving a linear programming problem. We show that block triangular K-matrices satisfy least element property. We prove that hidden block triangular K-matrices are Q0 and processable by Lemke’s algorithm. The purpose of… Expand
Bounded Homotopy Path Approach to Find the Solution of Linear Complementarity Problems
  • A. Dutta, A. K. Das, R. Jana
  • Mathematics
  • 2021
In this article, we introduce a new homotopy function to trace the trajectory by applying modified homotopy continuation method for finding the solution of the Linear Complementarity Problem. EarlierExpand

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