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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Elhashash, Abed, Szyld, Daniel B. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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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.
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 [...] .
Cheng, Guang-Hui, Cheng, Xiao-Yu, Huang, Ting-Zhu, Tam, Tin-Yau (2005)
Applied Mathematics E-Notes [electronic only]
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Luong Dinh Tin (1978)
Acta Universitatis Carolinae. Mathematica et Physica
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Gregory, David A., Kirkland, Stephen J. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Elsner, L. (1985-1986)
Portugaliae mathematica
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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...