B-矩阵块扩展垂直线性互补问题解的误差界

Error Bounds for the Solutions to B-Matrix Block Extended Vertical Linear Complementarity Problems

研究B-矩阵块扩展垂直线性互补问题解的误差界,通过矩阵分裂及B-矩阵的性质,应用严格对角占优矩阵逆矩阵无穷范数的估计式,结合不等式的放缩,得到了B-矩阵块扩展垂直线性互补问题解的误差界的两个估计式。数值算例验证了估计式的有效性和优势。

The paper studies error bounds for the solution to the B-matrix block extended vertical linear complementarity problem.Two estimation formulas of the error bounds for the solution to the B-matrix block extended vertical linear complementarity problem are obtained through matrix splitting and the properties of the B-matrix and applying the estimation formula for the infinite norm of the strictly diagonally dominant matrix inverse matrix,and combining it with the scaling of inequalities.Numerical examples have verified the effectiveness and advantages of the estimation formula.