journal article
oaidoi:10.1016/S0024-3795(96)00165-6

The group inverse of the transformation J(X) = AX − XB

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Publication date
31 May 1997
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Published by Elsevier Inc.
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    Abstract

    AbstractThe group inverse J# of the Sylvester transformation J(X) = AX − XB is (provided that it exists) represented in polynomial form J#(Y) = ΣijcijAiYBj in terms of the minimal polynomials of A and B. In one of the representations the coefficient matrix [cij] is expressed with the help of a new class of “derived” Hankel matrices

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