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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.
Feng Wang, and Deshu Sun. "New bounds for the minimum eigenvalue ofM-matrices." Open Mathematics 14.1 (2016): 1007-1013. <http://eudml.org/doc/287075>.
@article{FengWang2016, 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.}, author = {Feng Wang, Deshu Sun}, journal = {Open Mathematics}, keywords = {M-matrix; Nonnegative matrix; Hadamard product; Spectral radius; Minimum eigenvalue; -matrix; nonnegative matrix; spectral radius; minimum eigenvalue}, language = {eng}, number = {1}, pages = {1007-1013}, title = {New bounds for the minimum eigenvalue ofM-matrices}, url = {http://eudml.org/doc/287075}, volume = {14}, year = {2016}, }
TY - JOUR AU - Feng Wang AU - Deshu Sun TI - New bounds for the minimum eigenvalue ofM-matrices JO - Open Mathematics PY - 2016 VL - 14 IS - 1 SP - 1007 EP - 1013 AB - 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. LA - eng KW - M-matrix; Nonnegative matrix; Hadamard product; Spectral radius; Minimum eigenvalue; -matrix; nonnegative matrix; spectral radius; minimum eigenvalue UR - http://eudml.org/doc/287075 ER -