In this paper,an efficient algorithm is proposed for Toeplitz matrix recovery via hybrid thresh-olding operator.The algorithm is based on the mean-value augmented Lagrangian multiplier algorithm and the singular value...In this paper,an efficient algorithm is proposed for Toeplitz matrix recovery via hybrid thresh-olding operator.The algorithm is based on the mean-value augmented Lagrangian multiplier algorithm and the singular values processed by hybrid singular value threshold operator.The new algorithm ensures that the matrix generated by the iteration has a Toeplitz structure,which reduces the calculation time and obtains a more accurate Toeplitz matrix.The convergence of the new algorithm is discussed under certain assumptions.Numerical experiments show that the new algorithm achieves less CPU time than the mean-value augmented Lagrangian multiplier algorithm,smooth augmented Lagrangian multiplier algorithm,and augmented Lagrangian multiplier algorithm.展开更多
基金supported by National Natural Science Foundation of China(No.12371381)the special fund for Science and Technology Innovation Team of Shanxi Province(No.202204051002018)。
文摘In this paper,an efficient algorithm is proposed for Toeplitz matrix recovery via hybrid thresh-olding operator.The algorithm is based on the mean-value augmented Lagrangian multiplier algorithm and the singular values processed by hybrid singular value threshold operator.The new algorithm ensures that the matrix generated by the iteration has a Toeplitz structure,which reduces the calculation time and obtains a more accurate Toeplitz matrix.The convergence of the new algorithm is discussed under certain assumptions.Numerical experiments show that the new algorithm achieves less CPU time than the mean-value augmented Lagrangian multiplier algorithm,smooth augmented Lagrangian multiplier algorithm,and augmented Lagrangian multiplier algorithm.
