We provide an amended version of Corollaries~7 and~9 in [De Ter\'an, Iannazzo, Poloni, Robol, ``Solvability and uniqueness criteria for generalized Sylvester-type equations'']. These results characterize the unique solvability of the matrix equation $AXB+CX^\star D=E$ (where the coefficients need not be square) in terms of an equivalent condition on the spectrum of certain matrix pencils of the same size as one of its coefficients.
Corrigendum to “Solvability and uniqueness criteria for generalized Sylvester-type equations”
De Terán, Fernando
;Iannazzo, Bruno;Robol, Leonardo
2018
Abstract
We provide an amended version of Corollaries~7 and~9 in [De Ter\'an, Iannazzo, Poloni, Robol, ``Solvability and uniqueness criteria for generalized Sylvester-type equations'']. These results characterize the unique solvability of the matrix equation $AXB+CX^\star D=E$ (where the coefficients need not be square) in terms of an equivalent condition on the spectrum of certain matrix pencils of the same size as one of its coefficients.File in questo prodotto:
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