In this paper two modified least-squares iterative algorithms are presented for solving the Lyapunov matrix equations. The first algorithm is based on the hierarchical identification principle, which can be viewed as a surrogate of the least-squares iterative algorithm proposed by Ding et al., whose convergence has not been proved until now. The second one is motivated by a new form of fixed point iterative scheme. With the tool of a new matrix norm, the proof of both algorithms' global convergence is offered. Furthermore, the feasible sets of their convergence factors are analyzed. Finally, a numerical example is presented to illustrate the rationality of theoretical results.
The effects of -8% ~ 8% in-plane uniaxial and biaxial strains on the optoelectronic and photocatalytic activity of tungsten disulfide/blue-phosphene (WS2/BlueP) WS2/BlueP are investigated by the first-principles calculation. The most...
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