Sentence examples for matrix was inverted from inspiring English sources

The sparse matrix was inverted using the least-squares QR method (Paige and Saunders 1982; van der Sluis and van der Vorst 1987).

The corresponding G IBD matrix was inverted and used by ASReml for the EBV prediction.

The segregation data matrix was inverted then combined with the original data.

The covariance matrix is inverted using the iterative relationship given in (41) for the allocated energies.

The resulting Jacobian matrix is inverted to map the desired constraint variation to a corresponding posture variation.

In this section, the Wedin theorem [37] relating the condition number of the matrix being inverted to the sensitivity of the solution to perturbations is briefly reviewed.

In summary, decreasing the reshaping filter length in acoustic multi-channel equalization techniques decreases the condition number of the matrix being inverted, increasing the robustness against RIR perturbations.

Eshagh (2011) has shown that the results of the inversion of gridded gradients are more successful than those of an on-orbit inversion due to the better conditionality of the coefficient matrix being inverted.

Hence, using a shorter reshaping filter than conventionally used in equalization techniques can result (and based on simulations, it always does) in a lower condition number of the matrix being inverted.

For the convenience of comparison, Table 1 lists some parameters for three methods, respectively, where the column "Inverse filter" denotes the filter resulted from matrix inversion (referring to (9), (18), and (34)), the column "Matrix size" denotes the size of the matrix being inverted.

The combined matrix is inverted using Cholesky decomposition, and we obtain the solution and its associated covariance matrix.