Level-m scaled circulant factor matrices over the complex number field and the quaternion division algebra |
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| Authors: | Zhao-Lin Jiang San-Yang Liu |
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| Institution: | 1. Department of Applied Mathematics, Xidian University, 710071, Xi'an, P. R. China
2. Department of Mathematics, Linyi Teachers College, 276005, Linyi, Shandong, P. R. China
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| Abstract: | The level-m scaled circulant factor matrix over the complex number field is introduced. Its diagonalization and spectral decomposition and representation are discussed. An explicit formula for the entries of the inverse of a level-m scaled circulant factor matrix is presented. Finally, an algorithm for finding the inverse of such matrices over the quaternion division algebra is given. |
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