Modified gradient neural networks for solving the time-varying Sylvester equation with adaptive coefficients and elimination of matrix inversion
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2019.10.080
Abstract: Abstract In scientific and engineering fields, the solutions to many problems can be transformed into finding the solutions to Sylvester equation, for which various computational methods (e.g., recurrent neural network, RNN) have been presented and… read more here.
Keywords: varying sylvester; sylvester equation; time varying; time ... See more keywords
On a transformation of the ∗-congruence Sylvester equation for the least squares optimization
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DOI: 10.1080/10556788.2020.1734004
Abstract: The -congruence Sylvester equation is the matrix equation , where , and are given, whereas is to be determined. Here, or , and (transposed) or (conjugate transposed). Very recently, Satake et al. showed that under… read more here.
Keywords: congruence sylvester; least squares; sylvester equation; equation ... See more keywords
Design and Analysis of Two FTRNN Models With Application to Time-Varying Sylvester Equation
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DOI: 10.1109/access.2019.2911130
Abstract: In this paper, to accelerate the convergence speed of Zhang neural network (ZNN), two finite-time recurrent neural networks (FTRNNs) are presented via devising two novel design formulas. For verifying the advantages of the proposed FTRNN… read more here.
Keywords: time; application time; time varying; varying sylvester ... See more keywords
Modified RNN for Solving Comprehensive Sylvester Equation With TDOA Application.
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DOI: 10.1109/tnnls.2023.3263565
Abstract: The augmented Sylvester equation, as a comprehensive equation, is of great significance and its special cases (e.g., Lyapunov equation, Sylvester equation, Stein equation) are frequently encountered in various fields. It is worth pointing out that… read more here.
Keywords: equation; complex valued; model; modified rnn ... See more keywords
The Sylvester Equation and Kadomtsev-Petviashvili System
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DOI: 10.3390/sym14030542
Abstract: In this paper, we seek connections between the Sylvester equation and Kadomtsev–Petviashvili system. By introducing Sylvester equation LM are bold, please chekc if bold neceaasry, if not, please remove all bold of equation −MK =… read more here.
Keywords: petviashvili system; sylvester equation; kadomtsev petviashvili; equation ... See more keywords