Infinity norm bounds for the inverse of Nekrasov matrices

2011/12/26 by Cvetkovic, Ljiljana, Dai, Ping-Fan, Doroslovacki, Ksenija +1 · 1 citation
#15A09 #15A60 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1112.5868

Abstract

From the application point of view, it is important to have a good upper bound for the maximum norm of the inverse of a given matrix A. In this paper we will give two simple and practical upper bounds for the maximum norm of the inverse of a Nekrasov matrix.

Cited by

• Strictly Expansive Matrices

Related

• Improvements on the infinity norm bound for the inverse of Nekrasov matrices
• On the Frobenius norm of the inverse of a non-negative matrix
• On the norm of inverses of confluent Vandermonde matrices
• Bounds on norms of compound matrices and on products of eigenvalues
• Inverses of symmetric, diagonally dominant positive matrices and applications