Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 96, Issue 8, Pages 1576-1594Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2018.1449946
Keywords
Generalized coupled Sylvester-transpose equations; modified conjugate gradient method; centrosymmetric or anti-centrosymmetric matrix; least norm solution; numerical experiment
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Funding
- National Science Foundation of China [41725017, 41590864]
- National Basic Research Program of China [2014CB845906]
- Chinese Academy of Sciences [XDB18010202]
- Fujian Natural Science Foundation [2016J01005]
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In this paper, an iterative algorithm is presented for solving a class of generalized coupled Sylvester-transpose linear matrix equations over centrosymmetric or anti-centrosymmetric matrix. If the matrix equations are consistent, the solution through the iterative method can be obtained within finite steps without round-off error for any initial centrosymmentirc or anti-centrosymmetric value. Furthermore, one method is provided by choosing the special initial matrices to obtain the least norm solution. Finally, numerical examples are presented to demonstrate the efficiency of the algorithm we have proposed.
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