Schur Complement-Based Infinity Norm Bounds for the Inverse of GDSDD Matrices

Mathematics

Yaqiang Wang¹  Yating Li¹ 

[1] School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China;

关键词: GDSDD matrices;    Schur complements;    Infinity norm bounds;    singular value;   

DOI  :  10.3390/math10020186

来源: DOAJ

【 摘 要 】

Based on the Schur complement, some upper bounds for the infinity norm of the inverse of generalized doubly strictly diagonally dominant matrices are obtained. In addition, it is shown that the new bound improves the previous bounds. Numerical examples are given to illustrate our results. By using the infinity norm bound, a lower bound for the smallest singular value is given.

【 授权许可】

Unknown