Schur complement method – Knowledge and References

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Numerical implementation of homogenized acoustic properties of periodic porous media

Published in J.-L. Auriault, C. Geindreau, P. Royer, J.-F. Bloch, C. Boutin, J. Lewandowska, Poromechanics II, 2020

A further step to save computational time is to use a Schur complement method. The final system is the following in more compact notations: (ABtBC)(UP)=(FG)

Optimal strictly stealthy attacks in cyber-physical systems with multiple channels under the energy constraint

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Journal Information

Published in International Journal of Systems Science, 2023

Sheng-Sheng Dong, Yi-Gang Li, Liwei An

The constraint is converted to a linear matrix inequality by utilising Schur complement method to solve this optimisation problem. Thus, by resolving the subsequent semi-definite programming (SDP) problem, the optimal attack matrix is derived.