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

Authors :
Caili Sang
Source :
Bulletin of the Iranian Mathematical Society. 47:1379-1398
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

Abstract

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.

Subjects

Subjects :
Singular value
Pure mathematics
Uniform norm
010102 general mathematics
Schur complement
Inverse
Pharmacology (medical)
010103 numerical & computational mathematics
0101 mathematics
01 natural sciences
Upper and lower bounds
Diagonally dominant matrix
Mathematics

Details

ISSN :
17358515 and 1017060X
Volume :
47
Database :
OpenAIRE
Journal :
Bulletin of the Iranian Mathematical Society
Accession number :
edsair.doi...........c3a1ab38e85948a187a29866fd002c10
Full Text :
https://doi.org/10.1007/s41980-020-00447-w
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