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Specifically, relying on the generalized matrix inverse theory, a Moore-Penrose (M-P) based frequency response function (FRF) is determined for a linear structural system with singular matrices.
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Sample matrix inverse.
Existing methods require matrix inverse computation for obtaining a systematic generator matrix from parity check matrix.
We extended the algorithm to other matrix inverse related calculations.
In this way, the complex matrix inverse problem in (20) can be simplified to the matrix inverse in (21).
As (26) involves the matrix inverse, we next propose a diagonal format of D that does not calculate matrix inverses.
If a matrix is invertible, the superscript '-1' represents the matrix inverse.
The superscripts ⊺ and −1 stand for matrix transposition and matrix inverse, respectively.
Sonis and Hewings (1998), on the other hand, applied Sherman and Morrison (1949, 1950)'s inverse matrix perturbation theory to perform time-incremental decomposition of the Leontief inverse in time series.
Generalized inverse matrix theory is employed to obtain the stiffness matrix and damping matrix of taut strip models.
From matrix inversion lemma [33], the inverse matrix of J is: (21).
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