B-矩阵线性互补问题解的误差界的新估计式

New Estimator of the Error Bound for Linear Complementarity Problem of B-Matrices

针对H-矩阵的一类子矩阵——B-矩阵线性互补问题解的误差界,运用构造法,结合严格对角占优M-矩阵的逆的无穷范数的范围和两个重要的不等式,放缩得到了该问题解的误差界的一个新估计式,并用理论分析和算例说明了新结果的优越性。

Aiming at linear complementary problem solution error bounds of B-matrix(a class of H-matrix submatrix),in this paper,the method of construction is proposed.Combined with the infinite norm of strictly diagonally dominant matrix inverse and the range of two important inequalities techniques,a new estimation formula for the error bound of the solution of this problem is obtained.Finally,the new formula is tested by using theoretical analysis and numerical examples illustrate and the results indicated the superiority of this new formula.