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The matrix equation AXB+CYD=E. (English) Zbl 0437.15005

15A24 Matrix equations and identities
15A09 Theory of matrix inversion and generalized inverses
Full Text: DOI
[1] Baksalary, J.K.; Kala, R., The matrix equation AX-YB=C, Linear algebra and appl., 25, 41-43, (1979) · Zbl 0403.15010
[2] Ben-Israel, A.; Greville, T.N.E., Generalized inverses: theory and applications, (1974), Wiley New York · Zbl 0305.15001
[3] Flanders, H.; Wimmer, H.K., On the matrix equations AX-XB=C and {\bfax-YB=C}, SIAM J. appl. math., 32, 707-710, (1977) · Zbl 0385.15008
[4] Mitra, S.K., Common solutions to a pair of linear matrix equations A1{\bfxb}1={\bfc}1 and {\bfa}2{\bfxb}2={\bfc}2, Proc. Cambridge philos. soc., 74, 213-216, (1973)
[5] Roth, W.E., The equations AX-YB=C and {\bfax-XB=C} in matrices, Proc. amer. math. soc., 3, 392-396, (1952) · Zbl 0047.01901
[6] Shinozaki, N.; Sibuya, M., Consistency of a pair of matrix equations with an application, Keio engrg. rep., 27, 141-146, (1974)
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