Least-Squares Solutions of Generalized Sylvester Equation with Xi Satisfies Different Linear Constraint

Least-Squares Solutions of Generalized Sylvester Equation with Xi Satisfies Different Linear Constraint

In this paper, an iterative method is constructed to find the least-squares solutions of generalized Sylvester equation A X B A X B A X B A X B C 1 1 1 2 2 2 3 3 3 4 4 4 + + + = , where [ ] X X X X 1 2 3 4 , , , is real matrices group, and i X satisfies different linear constraint. By this iterative method, for any initial matrix group ( ) ( ) ( ) ( )     X X X X 0 0 0 0 1 2 3 4 , , , withi...

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

Iterative least-squares solutions of coupled Sylvester matrix equations

In this paper, we present a general family of iterative methods to solve linear equations, which includes the well-known Jacobi and Gauss–Seidel iterations as its special cases. The methods are extended to solve coupled Sylvester matrix equations. In our approach, we regard the unknown matrices to be solved as the system parameters to be identified, and propose a least-squares iterative algorit...

least squares solutions of inconsistent fuzzy linear matrix equations

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least squares solutions of inconsistent fuzzy linear matrix equations