The use of homotopy analysis method for solving generalized Sylvester matrix equation with applications

In this research, we introduce and analyze homotopy analysis method (HAM) for solving approximately linear matrix equation ∑ i = 1 s A i X B i + C = 0 , where A i , B i ( i = 1 , … , s ) , C ∈ C n × n and X ∈ C n × n must be determined. In this method we consider a convergence control parameter δ ,...

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