Sequences of Lower Bounds for Minimum Eigenvalue of Nonsingular M-Matrices

ZHAO Jian-xing

doi:10.13718/j.cnki.xsxb.2016.12.001

Journal of Southwest China Normal University(Natural Science Edition)

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2016 Volume 41 Issue 12

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ZHAO Jian-xing. Sequences of Lower Bounds for Minimum Eigenvalue of Nonsingular M-Matrices[J]. Journal of Southwest China Normal University(Natural Science Edition), 2016, 41(12). doi: 10.13718/j.cnki.xsxb.2016.12.001

Citation:

ZHAO Jian-xing. Sequences of Lower Bounds for Minimum Eigenvalue of Nonsingular M-Matrices[J]. Journal of Southwest China Normal University(Natural Science Edition), 2016, 41(12). doi: 10.13718/j.cnki.xsxb.2016.12.001

Sequences of Lower Bounds for Minimum Eigenvalue of Nonsingular M-Matrices

ZHAO Jian-xing

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Abstract

For the lower bounds of the minimum eigenvalue τ(A) of nonsingular M-matrix A ,some mono-tone increasing and convergent sequences of lower bounds of τ(A) are obtained by using Brauer's theorem and the upper bounds of A-1 .Finally ,numerical examples have been given to verify the theoretical re-sults ,showing that these sequences of lower bounds are more accurate than some existing results and could reach the true value of the minimum eigenvalue in some cases .
- M-matrix、nonnegative matrix、spectral radius、Hadamard product、minimum eigenvalue
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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