Results 11 to 20 of about 90,052 (252)
Some inequalities for the Fan product of M-tensors [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two M-tensors.
Gang Wang, Yanan Wang, Yuan Zhang
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Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices [PDF]
Mathematics, 2019 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.
Qianping Guo +3 more
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New inequalities on the Fan product of M-matrices
Journal of Inequalities and ApplicationsThis paper focuses on the minimum eigenvalue involving the Fan product. By utilizing the Hölder inequality and the classic eigenvalue inclusion theorem, we introduce two novel lower bounds for τ ( A 1 ⋆ A 2 ) $\tau \left ( A_{1}\star A_{2} \right ...
Qin Zhong, Na Li, Chunlan Li
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Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices
Advances in Linear Algebra & Matrix Theory, 2015 A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considerably some previous results.
Dongjie Gao
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On two inequalities for the Hadamard product and the Fan product of matrices
Linear Algebra and Its Applications, 2009 The authors find an upper bound for the spectral radius of the Hadamard product of nonnegative matrices, and a lower bound for the Fan product of non-singular M-matrices. In both cases they improve over previous results from \textit{M. Fang} [Linear Algebra Appl. 425, No.~1, 7--15 (2007; Zbl 1128.15011)].
Liu, Qingbing, Chen, Guoliang
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Bound Estimations on the Eigenvalues for Fan Product of $M$-tensors
Taiwanese Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiju Wang
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Some inequalities for the Hadamard product and the Fan product of matrices
Linear Algebra and Its Applications, 2008 Let the matrices \(A=(a_{ij})\) and \(B=(b_{ij})\) have the same dimensions. The Hadamard product of \(A\) and \(B\) is defined by \(A\circ B=(a_{ij}b_{ij})\). The Fan product of \(A\) and \(B\) is defined by \(A\star B=(c_{ij})\), where \[ c_{ij}=\begin{cases} -a_{ij}b_{ij}, \quad &i\not=j\\ \phantom{-}a_{ii}b_{ii}, &i=j. \end{cases} \] An \(n\times n\
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Bounds on eigenvalues of the Hadamard product and the Fan product of matrices
Linear Algebra and Its Applications, 2007 The author presents an upper bound for the spectral radius of the Hadamard product of two nonegative matrices \[ \rho(A\circ B)\leq \max_{1\leq i\leq n}\{2a_{ii}b_{ii}+ \rho(A)\rho(B)-a_{ii}\rho(B)-b_{ii}\rho(A)\} \] where \(A=(a_{ij})\) and \(B=(b_{ij})\) are nonnegative \(n\times n\) matrices, and a lower bound for the minimal eigenvalue of the Fan ...
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New Eigenvalue Inequalities for the Hadamard Product and Fan Product of Structured Tensors
Taiwanese Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Yangyang +3 more
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NEW BOUNDS FOR EIGENVALUES OF THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES
Taiwanese Journal of Mathematics, 2014 In this paper, we proposed some lower bounds for the minimum eigenvalue of the Fan product of $M$-matrices, and a upper bound for the spectral radius of the Hadamard product of nonnegative matrices. These improve two existing results. To illustrate our results, two simple examples are considered.
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