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A high-order Lie groups scheme for solving the recovery of external force in nonlinear system
Published in Inverse Problems in Science and Engineering, 2018
Yu-Chen Liu, Yung-Wei Chen, Yu-Ting Wang, Jiang-Ren Chang
The general linear group is a Lie group set, whose manifold is an open subset of the linear space of all n × n non-singular matrices. Therefore, is also an n × n-dimensional manifold. The general linear group has a uniquely real Lie algebra . We consider a one-parameter subgroup , of the general linear group , which is a curve passing through the group identity at τ = 0,