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- W1987469729 abstract "1. The properties of the circulant determinant or the circulant matrix are familiar. The circulant matrix C of order 4 x 4, with elements in the complex field, will serve for illustration. The four matrix coefficients of c 0 , c 1 c 2 , c 3 form a reducible matrix representation of the cyclic group ℐ 4 , so that C is a group matrix for this. Let ω be a primitive 4th root of 1. Then Ω as below, its columns being normalized latent vectors of C , is unitary and symmetric, and reduces C to diagonal form thus, where the μ r , the latent roots of C , are given by All of the above extends naturally to the n x n case." @default.
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- W1987469729 date "1962-01-01" @default.
- W1987469729 modified "2023-09-26" @default.
- W1987469729 title "Two Notes on Matrices" @default.
- W1987469729 doi "https://doi.org/10.1017/s2040618500034420" @default.
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