| Linear complementarity problems have become a mathematical tool in many disciplines and engineering problems.The estimation of the error of the solution is an important problem to be solved in these applications.In 2014,García-Esnaola and Pe?a in [Error bounds for linear complementarity problems of Nekrasov matrices.Numer.Algor.,2014,67:655-667] gave an error bound for linear complementary problems of Nekrasov matrices with a parameter,i.e.,Because of the parameters and a great influence on the error bound for the selection of the parameter,it is an important problem to determine the error bounds with a parameter.The optimal value of the above error bound for three cases is,respectively,given by using the monotonicity of functions and the classification discussion.Numerical examples are used to illustrate the corresponding results.The optimal value problem of error bounds with a parameter of linear complementarity problem of Nekrasov matrices is solved. |
