Sentence examples for matrices to derive from inspiring English sources

The eigenvalue distribution of the Schur complements is discussed in Section 4 for nonstrictly diagonally dominant matrices to derive some significant conclusions.

As an application, the eigenvalue distribution of the Schur complement is discussed for nonstrictly diagonally dominant matrices to derive some significant conclusions.

As an application, we continue discussing the eigenvalue distribution of the Schur complements for nonstrictly diagonally dominant matrices to derive some significant conclusions.

To speed up NC-ADF, we first reduce the update rate for compensation terms and then utilize the Toeplitz structures of both the system and the correlation matrices to derive an FFT-based estimation of (4).

It should be pointed out that the polynomial blocking (or lifting) technique developed in Bittanti and Colaneri (2009), which was initially only for scalar polynomials, can be extended to polynomial matrices to derive the blocked left MFD given by (15).

In addition, we applied the graph theoretical approach to the SL matrices to derive the parameters CC and L. These three functional connectivity measures were then subjected to a series of genetic analyses that tested their viability as endophenotypes in genetic association and linkage research.

This value, then, is inserted into the borehole resistance matrix to derive the obstruction factor, f.

The QP is used to derive the quantization step size, which in turn is combined with a scaling matrix to derive the quantization step size matrix.

In this method, a spectral decomposition is applied to the adjacency matrix to derive communities in the form of eigenvectors, which are weighted by the strength of their corresponding eigenvalues.

And, the convergence index between products and IT and the convergence index between processes and IT are used as a 3 × 3 matrix to derive a convergence index describing the IT convergence level by industry.

It is a process based on the decomposition of a decision-making problem into a tree structured decisions' hierarchy and pairwise comparisons through the building of matrixes to derive priority scales and weights.