Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
Copyright policy )Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
In this paper, an upper bound on the spectral radius ρ ( A ∘ B ) for the Hadamard product of two nonnegative matrices (A and B) and the minimum eigenvalue τ ( C ★ D ) of the Fan product of two M-matrices (C and D) are researched. These bounds complement some corresponding results on the simple type bounds. In addition, a new lower bound on the minimum eigenvalue of the Fan product of several M-matrices is also presented. These results and numerical examples show that the new bounds improve some existing results.
- Tuscia University Italy
- University of Electronic Science and Technology of China China (People's Republic of)
- Henan University of Economic and Law China (People's Republic of)
spectral radius, Hadamard product, <i>M</i>-matrix, nonnegative matrices, minimum eigenvalue, QA1-939, Computer Science and Mathematics, inverse <i>M</i>-matrix, fan product, Mathematics
spectral radius, Hadamard product, <i>M</i>-matrix, nonnegative matrices, minimum eigenvalue, QA1-939, Computer Science and Mathematics, inverse <i>M</i>-matrix, fan product, Mathematics
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