Sentence examples for matrix inversion calculation from inspiring English sources
The numerical stability can be enhanced as the matrix inversion calculation is avoided.
In contrast to ESPRIT algorithm [13], this algorithm has a high computational load, which is usually dominated by formation of the covariance matrix, matrix inversion and calculation of EVD.
Therefore we may implement a weight-by-weight calculation approach (modified Levenberg-Marquardt adaptation) that avoids matrix inversion to calculate all neural weight updates by the L-M algorithm (as indicated in previous section and also used for MLP in that same subsection).
A new method is introduced based on the Sherman Morrison matrix inversion formula for calculation of the optimal absorber parameter values for attachment to a damped multi-degree of freedom system.
However, the accuracy of this technique is frequently hindered by spectral distortion problem due to amplification of errors in the FRF-matrix during an inversion calculation.
Matrix inversion: the computation of A-1 where requires operations.
To apply the matrix inversion lemma to the calculation of (103), we first define the matrix composed of vectors corresponding to the L k - 1 first harmonics of the full matrix Z k as (104).
In contrast, our method requires precomputation of one matrix inversion, but the actual calculation of p ∞ is O (m n ) with m ≪ n, as there are O (m ) operations to calculate Equation (3), which has to be done for each of the n elements of p ∞. p ∞ is a probability vector, and all its entries sum to unity.
The calculation of these equalizers has a complexity of (mathcal {O}(N^{2})) flops (using structured matrix inversion formulae) while calculating (hat {mathbf {x}}=mathbf {Wy}) requires no more than (mathcal {O}(N^{2})) flops per block [16].
The matrix inversion involved in the calculations is done in an order-recursive manner which leads to further reduction in complexity.
Computational complexity of AOA estimation algorithms includes two parts: steering vector calculations and matrix inversion in the MVDR or Eigen-decomposition in the MUSIC calculations.
