Decreasing diagonal elements in completely positive matrices
Francesco Barioli (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Francesco Barioli (1998)
Rendiconti del Seminario Matematico della Università di Padova
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David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
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Oliveira, Graciano N. de, Dias da Silva, J.A. (1985-1986)
Portugaliae mathematica
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Miroslav Fiedler (1984)
Mathematica Slovaca
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Utz, W.R. (1959)
Portugaliae mathematica
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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...
Jiří Sedláček, Antonín Vrba (1986)
Czechoslovak Mathematical Journal
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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.