Journal
ASIAN JOURNAL OF CONTROL
Volume 19, Issue 1, Pages 164-172Publisher
WILEY-BLACKWELL
DOI: 10.1002/asjc.1343
Keywords
Generalized nonhomogeneous Yakubovich-transpose matrix equation; least Frobenius norm solution pair; conjugate direction method; non-symmetric linear system
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Funding
- Iran National Science Foundation (INSF)
- Iran National Science Foundation (INSF) [94001306]
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In this paper, the development of the conjugate direction (CD) method is constructed to solve the generalized nonhomogeneous Yakubovich-transpose matrix equation AXB + (CXD)-D-T + EYF = R. We prove that the constructed method can obtain the (least Frobenius norm) solution pair (X,Y) of the generalized nonhomogeneous Yakubovich-transpose matrix equation for any (special) initial matrix pair within a finite number of iterations in the absence of round-off errors. Finally, two numerical examples show that the constructed method is more efficient than other similar iterative methods in practical computation.
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