Based on the Schur complements, two upper bounds for the infinity norm of the inverse of doubly strictly diagonally dominant (DSDD) matrices are presented. As applications, an error bound for linear complementarity problems of DB-matrices and a lower bound for the smallest singular value of matrices are given.

中文翻译：

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DSDD矩阵逆的基于Schur补码的无穷范数界

基于Schur补，给出了双重严格对角占优（DSDD）矩阵逆的无穷范数的两个上界。作为应用，给出了DB矩阵线性互补问题的误差界和最小矩阵奇异值的下界。