Corrigendum to "Solvability and uniqueness criteria for generalized Sylvester-type equations"

De Teran F., Iannazzo B., Poloni F., Robol L.

Algebra and Number Theory  Numerical Analysis  Geometry and Topology  Eigenvalues  Matrix pencil  Matrix equation  Sylvester equation  Discrete Mathematics and Combinatorics 

We provide an amended version of Corollaries 7 and 9 in [De Teran, Iannazzo, Poloni, Robol, "Solvability and uniqueness criteria for generalized Sylvester-type equations"]. These results characterize the unique solvability of the matrix equation AXB + CX*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. (C) 2017 Elsevier Inc. All rights reserved.

Source: Linear algebra and its applications 542 (2018): 522–526. doi:10.1016/j.laa.2017.10.018

Publisher: North Holland [etc.], [New York], Stati Uniti d'America

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