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We consider solving large-scale Lyapunov equations for multi-agent system. Focusing on the Kronecker product in the Lyapunov equations, we use third order tensors and its operations, which are useful to decrease memory requirements. In this paper, we propose the modified GMRES method for the Lyapunov equations which computes using third order tensor. Moreover, we display numerical examples of the...
The formula of the channel matrix for group co-variant signals for classical-quantum communication has been studied to calculate the channel matrix analytically. However, despite its importance, the formula derived previously cannot be applied to coded q-ary phase shift keying (PSK) signals by linear codes over an extension field Fq. To derive the formula for codes over Fq, we focus on the 4PSK signals...
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