Simultaneous diagonalization of rectangular matrices |
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Authors: | Sujit Kumar Mitra |
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Institution: | Purdue University West Lafayette, Indiana 47907, USA;Indian Statistical Institute New Delhi 110016, India |
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Abstract: | A matrix D is said to be diagonal if its (i,j)th element is null whenever i and j are unequal. For a set {Aθ} of matrices Aθ of the same order, the paper gives necessary and sufficient conditions for nonsingular matrices S and T to exist, such that SAθT = Dθ is diagonal for each matrix Aθ in the set. |
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