Several criteria for judgingH- and non-H-matrices

DOI10.1080/00207160.2015.1009834zbMath1384.15010OpenAlexW2086434577MaRDI QIDQ2804912

Jianzhou Liu, Leilei Wang, Zhenhua Lyu

Publication date: 6 May 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1009834

zbMATH Keywords

\(H\)-matrixNekrasov matrices\(S\)-Nekrasov matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Error bounds for linear complementarity problems of \(S\)-Nekrasov matrices and \(B\)-\(S\)-Nekrasov matrices ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices

Cites Work

• The Schur complement of strictly doubly diagonally dominant matrices and its application
• The infinity norm bound for the inverse of nonsingular diagonal dominant matrices
• The dominant degree and disc theorem for the Schur complement of matrix
• A new subclass of \(H\)-matrices
• A simple estimation for the spectral radius of (block) H-matrices
• Some properties on Schur complements of H-matrices and diagonally dominant matrices
• A note on generalized diagonally dominant matrices
• Simple criteria for generalized diagonally dominant matrices
• Sufficient conditions for H-matrices

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