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Solution of the matrix equation AX−XB=C

Lösung der Matrixgleichung AX−XB=C

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Abstract

In this paper a finite algebraic formula for the solution of the matrix equationAX−XB=C is derived. Based on it, a new direct algorithm is given.

Zusammenfassung

Angegeben wird eine algebraische Formel für die Lösung der GleichungAX−XB=C und ein auf ihr basierender Lösungsalgorithmus.

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References

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Nanjing Aeronautical Institute, 210002, Nanjing, The People's Republic of China

    Lu Tongxing

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  1. Lu Tongxing
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Tongxing, L. Solution of the matrix equation AX−XB=C. Computing 37, 351–355 (1986). https://doi.org/10.1007/BF02251092

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  • DOI: https://doi.org/10.1007/BF02251092

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