-pencils.
McDonald, Judith J., Olesky, D.Dale, Schneider, Hans, Tsatsomeros, Michael J., van den Driessche, P. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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McDonald, Judith J., Olesky, D.Dale, Schneider, Hans, Tsatsomeros, Michael J., van den Driessche, P. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Jianxing Zhao, Caili Sang (2016)
Open Mathematics
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Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.
Gregory, David A., Kirkland, Stephen J. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Larsen, Michael (1995)
The Electronic Journal of Combinatorics [electronic only]
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Raphael Loewy (2012)
Open Mathematics
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
Charles R. Johnson, Robert B. Reams (2016)
Special Matrices
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A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).
Mazanik, S.A. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Branislav Martić (1984)
Publications de l'Institut Mathématique
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J. Sun (1983)
Numerische Mathematik
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