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Extending the GPBiCG Algorithm for Solving the Generalized Sylvester-transpose Matrix Equation

Masoud Hajarian
International Journal of Control, Automation, and Systems, vol. 12, no. 6, pp.1362-1365, 2014

Abstract : By applying Kronecker product and vectorization operator, we extend the generalized product bi-conjugate gradient (GPBiCG) algorithm for solving the generalized Sylvester-transpose matrix equation By using numerical results, we compare the new method with other popular iterative solvers in use today.

Keyword : GPBiCG algorithm, Kronecker product, Sylvester matrix equation.

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