Jia Lixin. Linear Transformation Approach for Lyapunov Equation[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(3): 313-315.
Citation:
Jia Lixin. Linear Transformation Approach for Lyapunov Equation[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(3): 313-315.
Jia Lixin. Linear Transformation Approach for Lyapunov Equation[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(3): 313-315.
Citation:
Jia Lixin. Linear Transformation Approach for Lyapunov Equation[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(3): 313-315.
Linear Transformation Approach for Lyapunov Equation
By using linear transformation method, this paper gives the necessary and sufficient conditions for Lyapunov equation. The unique solutions are obtained. The method in this paper is elementary and the results are richer than those in references. The method can also be used to deal with matrix equations on general field, which supplies a new method to cryptography.
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