Geodesic
Two algorithms for solving generalized coupled Sylvester tensor equations
Filomat, Tome 37 (2023) no. 30, p. 10249

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DOI

In this paper, we consider the generalized coupled Sylvester tensor equations by the tensor forms of the biconjugate A-orthogonal residual and the conjugate A-orthogonal residual squared algorithms. With the absence of round-off errors, we show that our methods converge to the exact solution group within finite steps when they are consistent. Finally, we provide some numerical examples to demonstrate the effectiveness of the proposed methods, including when testing the algorithms by color image restoration problems and randomly generated data.
DOI : 10.2298/FIL2330249L
Classification : 15A69, 65F10
Keywords: Tensor form, Generalized coupled Sylvester tensor equations, Biconjugate A-orthogonal residual algorithm, Conjugate A-orthogonal residual squared algorithm 
Tao Li; Chi-Hua Feng; Xin-Fang Zhang. Two algorithms for solving generalized coupled Sylvester tensor equations. Filomat, Tome 37 (2023) no. 30, p. 10249 . doi: 10.2298/FIL2330249L
@article{10_2298_FIL2330249L,
     author = {Tao Li and Chi-Hua Feng and Xin-Fang Zhang},
     title = {Two algorithms for solving generalized coupled {Sylvester} tensor equations},
     journal = {Filomat},
     pages = {10249 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330249L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330249L/}
}
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