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Roots and canonical forms for circulant matrices. (English) Zbl 0112.25003


MSC:

15A18 Eigenvalues, singular values, and eigenvectors
15A20 Diagonalization, Jordan forms
15A21 Canonical forms, reductions, classification
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[1] E. Egerváry, On hypermatrices whose blocks are commutable in pairs and their application in lattice-dynamics, Acta Sci. Math. Szeged 15 (1954), 211 – 222. · Zbl 0056.25103
[2] Bernard Friedman, \?-commutative matrices, Math. Ann. 136 (1958), 343 – 347. · Zbl 0082.02001 · doi:10.1007/BF01360241
[3] Bernard Friedman, Eigenvalues of composite matrices, Proc. Cambridge Philos. Soc. 57 (1961), 37 – 49. · Zbl 0143.26401
[4] F. A. Lewis, Circulants and their groups, Amer. Math. Monthly 67 (1960), 258 – 260. · Zbl 0095.24901 · doi:10.2307/2309689
[5] D. E. Rutherford, Some continuant determinants arising in physics and chemistry, Proc. Roy. Soc. Edinburgh. Sect. A. 62 (1947), 229 – 236. · Zbl 0030.00501
[6] E. Cesàro and G. Kowalewski, Elementares Lehrbuch der algebraischen Analysis, Teubner, Leipzig, 1904, pp. 25-26.
[7] W. M. Whyburn, A set of cyclicly related functional equations, Bull. Amer. Math. Soc. 36 (1930), no. 12, 863 – 868. · JFM 56.0368.01
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