On matrix groups defined by certain polynomial identities
Oliveira, Graciano N. de, Dias da Silva, J.A. (1985-1986)
Portugaliae mathematica
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Oliveira, Graciano N. de, Dias da Silva, J.A. (1985-1986)
Portugaliae mathematica
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Lee, Moon Ho, Feng, Gui-Liang, Chen, Zhu (2008)
Mathematical Problems in Engineering
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Miroslav Fiedler, Frank Hall (2013)
Open Mathematics
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This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.
Hans A. Keller, Herminia Ochsenius A. (1995)
Annales mathématiques Blaise Pascal
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Mika Mattila, Pentti Haukkanen (2016)
Special Matrices
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Let T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively.We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known results for meet and join matrices. Once the theorems are found with the aid of advanced methods, we also...
Miroslav Fiedler, Vlastimil Pták (1966)
Czechoslovak Mathematical Journal
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David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
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Michael Cox, Kevin N. Vander Meulen, Adam Van Tuyl, Joseph Voskamp (2024)
Czechoslovak Mathematical Journal
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The Fiedler matrices are a large class of companion matrices that include the well-known Frobenius companion matrix. The Fiedler matrices are part of a larger class of companion matrices that can be characterized by a Hessenberg form. We demonstrate that the Hessenberg form of the Fiedler companion matrices provides a straight-forward way to compare the condition numbers of these matrices. We also show that there are other companion matrices which can provide a much smaller condition...