A formula for the solution of the matrix equation AX+XB=C
作者:
A. J. B. Ward,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1989)
卷期:
Volume 20,
issue 4
页码: 583-584
ISSN:0020-739X
年代: 1989
DOI:10.1080/0020739890200414
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The Sylvester matrix equation AX+ XB = C is important in several branches of science and technology. It occurs, for example, as an ‘auxiliary equation’ to some of the differential equations of control theory. The method used here is based on the technique developed by Lacoss and Shakal. However, the formula given below is much more general than that of Lacoss and Shakal and deals with the case in which their formula fails.
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