The Solution of the Matrix Equation AX-X~TB=C
BU Chang-jiang
Abstract
BU Chang-jiang
Abstract
We give the solution of the matrix equation AX-X~TB=C by introducing the generalized inverse matrix, and find two forms of the solution about the matrix equation AX-X~TB=O. So we get two solution with different forms of the matrix equation AX-X~TB=C.
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We give the solution of the matrix equation AX-X~TB=C by introducing the generalized inverse matrix, and find two forms of the solution about the matrix equation AX-X~TB=O. So we get two solution with different forms of the matrix equation AX-X~TB=C.
Key concepts: Matrix (chemical analysis), Mathematics, Matrix difference equation, Inverse, Applied mathematics, Mathematical analysis, Riccati equation, Chemistry