Ela Some New Lower Bounds for the Minimum Eigenvalue of the Hadamard Product of an M-matrix and Its Inverse
نویسندگان
چکیده
Abstract. For the Hadamard product A ◦ A of an M -matrix A and its inverse A, some new lower bounds for the minimum eigenvalue of A ◦ A are given. These bounds improve the results of [H.B. Li, T.Z. Huang, S.Q. Shen, and H. Li. Lower bounds for the minimum eigenvalue of Hadamard product of an M -matrix and its inverse. Linear Algebra Appl., 420:235-247, 2007] and [Y.T. Li, F.B. Chen, and D.F. Wang. New lower bounds on eigenvalue of the Hadamard product of an M -matrix and its inverse. Linear Algebra Appl., 430:1423-1431, 2009].
منابع مشابه
Ela a New Eigenvalue Bound for the Hadamard Product of an M-matrix and an Inverse M-matrix
If A and B are n× n nonsingular M -matrices, a new lower bound for the minimum eigenvalue τ(A◦B) for the Hadamard product of A and B is derived. This bound improves the result of [R. Huang. Some inequalities for the Hadamard product and the Fan product of matrices. Linear Algebra Appl., 428:1551–1559, 2008.].
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