Journal of Qujing Normal University ›› 2021, Vol. 40 ›› Issue (3): 1-4.

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Optimal Error Bounds for Matrix Linear Complementarity Problems ∑1-SDD Matrix

LI Yanyan   

  1. School of Mathematics, Wenshan University, Wenshan Yunnan 663099, China
  • Received:2021-02-08 Online:2021-05-26 Published:2021-07-13

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Abstract: The classical linear complementarity error bound estimator for strictly diagonal dominant matrices is used to obtain the error bound for the linear complementarity of A, and the optimal value of the error bound is analyzed in detail based on the study of the upper bound of the infinite norm of the inverse matrix ∑1-SDD of A. The superiority of the estimator is also illustrated with the help of numerical examples.

Key words: ∑1-SDD matrix, linear complementarity, error bound, optimal value

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