Sixty years of Professor Miroslav Fiedler
Jiří Sedláček, Antonín Vrba (1986)
Czechoslovak Mathematical Journal
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Jiří Sedláček, Antonín Vrba (1986)
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...