Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix
Copyright policy )Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix
Abstract Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.
- Minzu University of China China (People's Republic of)
- Guizhou Minzu University China (People's Republic of)
15a06, 15a18, \(M\)-matrix, Hadamard product, hadamard product, 15a42, sequence, inverse \(M\)-matrix, Inequalities involving eigenvalues and eigenvectors, Positive matrices and their generalizations; cones of matrices, lower bounds, numerical example, minimum eigenvalue, QA1-939, m-matrix, Mathematics
15a06, 15a18, \(M\)-matrix, Hadamard product, hadamard product, 15a42, sequence, inverse \(M\)-matrix, Inequalities involving eigenvalues and eigenvectors, Positive matrices and their generalizations; cones of matrices, lower bounds, numerical example, minimum eigenvalue, QA1-939, m-matrix, Mathematics
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