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- W4386002662 abstract "In this paper, a generalized conjugate direction algorithm (GCD) is proposed for solving general coupled Sylvester matrix equations. The GCD algorithm is an improved gradient algorithm, which can realize gradient descent by introducing matrices Pj(k) and Tj(k) to construct parameters α(k) and β(k). The matrix Pj(k) and Tj(k) are iterated in a cross way to accelerate the convergence rate. In addition, it is further proved that the algorithm converges to the exact solution in finite iteration steps in the absence of round-off errors if the system is consistent. Also, the sufficient conditions for least squares solutions and the minimum F-norm solutions are obtained. Finally, numerical examples are given to demonstrate the effectiveness of the GCD algorithm." @default.
- W4386002662 created "2023-08-20" @default.
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- W4386002662 date "2023-09-01" @default.
- W4386002662 modified "2023-10-07" @default.
- W4386002662 title "Generalized conjugate direction algorithm for solving general coupled Sylvester matrix equations" @default.
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- W4386002662 doi "https://doi.org/10.1016/j.jfranklin.2023.08.022" @default.
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