\(\| A^{-1} \|_\infty\) and equidiagonal-dominance

DOI10.1007/BF02683828zbMath0929.15026MaRDI QIDQ1299854

Jiagan Hu, Xing-Ping Liu

Publication date: 18 January 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

\(M\)-matrices\(H\)-matricesequidiagonal-dominancenorm of inverse matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

An iterative algorithm for searching a scaling matrix for diagonal dominance

Cites Work

• A lower bound for the smallest singular value of a matrix
• On recurring theorems on diagonal dominance
• On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\)
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