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New bounds for the minimum eigenvalue of M-matrices

New bounds for the minimum eigenvalue of \(M\)-matrices
Authors: Wang Feng; Sun Deshu;

New bounds for the minimum eigenvalue of M-matrices

Abstract

Abstract Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.

Related Organizations
Keywords

spectral radius, 15a18, \(M\)-matrix, Hadamard product, hadamard product, 15a42, Inequalities involving eigenvalues and eigenvectors, nonnegative matrix, Positive matrices and their generalizations; cones of matrices, minimum eigenvalue, QA1-939, m-matrix, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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