Generalized inverses of circulant and generalized circulant matrices |
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Authors: | CLeary Bell |
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Institution: | Department of Mathematics Auburn University Auburn, Alabama, USA;Department of Special Studies Columbus College Columbus, Georgia, USA |
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Abstract: | An expression for the Moore-Penrose inverse of certain singular circulants by S.R. Searle is generalized to include all circulants. Similar expressions are given for the Moore-Penrose inverse of block circulants with circulant blocks, level-q circulants, k-circulants where |k|=1, and certain other matrices which are the product of a permutation matrix and a circulant. Expressions for other generalized inverses are given. |
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Keywords: | Address for correspondence: 824 Lichfield Road Columbus Georgia 31904 |
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