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

Yating Li and Yaqiang Wang
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Yating Li: School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China
Yaqiang Wang: School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China

Mathematics, 2022, vol. 10, issue 2, 1-29

Abstract: 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.

Keywords: GDSDD matrices; Schur complements; Infinity norm bounds; singular value (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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