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The Simple Formulae of Solutions to Liapunov Matrix Equation AX+XB=C and Its Application(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2011年03期
Page:
44-49
Research Field:
数学
Publishing date:

Info

Title:
The Simple Formulae of Solutions to Liapunov Matrix Equation AX+XB=C and Its Application
Author(s):
You Xinghua1Ma Shengrong2
1.Department of Basic Course,Nanjing Institute of Technology,Nanjing 211167,China
Keywords:
Liapunov matrix equationJordan canonical formthe least-squares solution the minimum-norm leastsquares solution
PACS:
O241.6
DOI:
-
Abstract:
At first,the simple expression of solutions to matrix equation AX + XB = C is given,the second an explicit formulae for the minimum-norm least-squares solutions of matrix equation AX + YB = E is obtained,finally,a numerical example is given.

References:

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Last Update: 2011-09-15