The matrix equation AX-YB=C and related problems |
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| Authors: | Yu. A. Al’pin S. N. Il’in |
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| Affiliation: | (1) Kazan’ State University, Kazan’, Russia |
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| Abstract: | The main result of the paper is a theorem, using which a new proof of Roth’s theorem is obtained, a new solvability criterion for the matrix equation AX-YB = C is proved, a formula for a particular solution of the latter is derived, and the least of the orders of square nonsingular matrices containing a given rectangular matrix as a submatrix is determined. Bibliography: 5 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 323, 2005, pp. 15–23. |
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