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

publication date

  • April 2018

start page

  • 522

end page

  • 526

volume

  • 542

International Standard Serial Number (ISSN)

  • 0024-3795

Electronic International Standard Serial Number (EISSN)

  • 1873-1856

abstract

  • We provide an amended version of Corollaries 7 and 9 in [De Terán, Iannazzo, Poloni, Robol, "Solvability and uniqueness criteria for generalized Sylvester-type equations"]. These results characterize the unique solvability of the matrix equation AXB + CX* = 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.