On general matrices having the Perron-Frobenius property.
Elhashash, Abed, Szyld, Daniel B. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “The minimum, diagonal element of a positive matrix”
On general matrices having the Perron-Frobenius property.
New bounds for the minimum eigenvalue ofM-matrices
Feng Wang, Deshu Sun (2016)
Open Mathematics
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Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.
A new bound for the spectral radius of Brualdi-Li matrices
Xiaogen Chen (2015)
Special Matrices
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Let B2m denote the Brualdi-Li matrix of order 2m, and let ρ2m = ρ(B2m ) denote the spectral radius of the Brualdi-Li Matrix. Then [...] . where m > 2, e = 2.71828 · · · , [...] and [...] .
Some bounds for the spectral radius of the Hadamard product of matrices.
Cheng, Guang-Hui, Cheng, Xiao-Yu, Huang, Ting-Zhu, Tam, Tin-Yau (2005)
Applied Mathematics E-Notes [electronic only]
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The comparison of spectrum of normalizable matrices
Luong Dinh Tin (1978)
Acta Universitatis Carolinae. Mathematica et Physica
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Singular values of tournament matrices.
Gregory, David A., Kirkland, Stephen J. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Perturbation theorems for the matrix eigenvalue problem
Elsner, L. (1985-1986)
Portugaliae mathematica
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Falseness of the finiteness property of the spectral subradius
Adam Czornik, Piotr Jurgas (2007)
International Journal of Applied Mathematics and Computer Science
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We prove that there exist infinitely may values of the real parameter α for which the exact value of the spectral subradius of the set of two matrices (one matrix with ones above and on the diagonal and zeros elsewhere, and one matrix with α below and on the diagonal and zeros elsewhere, both matrices having two rows and two columns) cannot be calculated in a finite number of steps. Our proof uses only elementary facts from the theory of formal languages and from linear algebra, but...
On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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A sparsity result on nonnegative real matrices with given spectrum
Thomas Laffey (1997)
Banach Center Publications
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Let σ=(λ1,...,λn) be the spectrum of a nonnegative real n × n matrix. It is shown that σ is the spectrum of a nonnegative real n × n matrix having at most nonzero entries.