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- W3199192463 abstract "This paper examines the properties of real symmetric square matrices with a constant value for the main diagonal elements and another constant value for all off-diagonal elements. This matrix form is a simple subclass of circulant matrices, which is a subclass of Toeplitz matrices. It encompasses other useful matrices such as the centering matrix and the equicorrelation matrix, which arise in statistical applications. We examine the general form of this class of matrices and derive its eigendecomposition and other important properties. We use this as a basis to look at the properties of the centering matrix and the equicorrelation matrix, and various statistics that use these matrices." @default.
- W3199192463 created "2021-09-27" @default.
- W3199192463 creator A5027367459 @default.
- W3199192463 date "2021-09-13" @default.
- W3199192463 modified "2023-09-27" @default.
- W3199192463 title "The Double-Constant Matrix, Centering Matrix and Equicorrelation Matrix: Theory and Applications" @default.
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- W3199192463 doi "https://doi.org/10.48550/arxiv.2109.05814" @default.
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