Fubin Chen, Yaotang Li, Defeng Wang
Abstract
Abstract. If A and B are n×n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ(A◦B −1) for the Hadamard product of A and B −1 is derived. This bound improves the result of [R. Huang. Some inequalities for the Hadamard product and the Fan product of matrices.
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Abstract. If A and B are n×n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ(A◦B −1) for the Hadamard product of A and B −1 is derived. This bound improves the result of [R. Huang. Some inequalities for the Hadamard product and the Fan product of matrices.
Key concepts: Mathematics, Complex Hadamard matrix, Hadamard product, Inverse, Matrix (chemical analysis), Hadamard matrix, Hadamard transform, Eigenvalues and eigenvectors