Sentence examples for matrix product and from inspiring English sources

In this section, we present some results on the minus orderings of the matrix product and block matrices.

Random matrices are non-commutative operators with respect to the matrix product and they can be considered elements of what is called non-commutative probability space.

Based on the analysis in Section 3.2, the complexities of algorithms mainly come from the operations of matrix product and EVD, involving channel correlations, eigenvector matrices of channel correlations, and the DFT prebeamforming.

denotes the Shur-Hadamar (element-by-element) matrix product, and the zero-step iteration (30). is formed as an outcome of the MSF algorithm from the DEDR family (22) specified for the adjoint SFO solution operator.

Matrices can be used to condense multiple linear equations as above into one vector equation, namely :, where \begin{bmatrix} 1 & 3 & 1 \\ 4 & 2 & 2\end{bmatrix} is the matrix containing the coefficients of the given equations, is the vector, denotes the matrix product, and is the zero vector.

The background (forecast) covariance matrix P b n is no longer a simple matrix product and must be approximated by other means, as described in Sec.

The complexity mainly comes from matrix products and EVDs.

Furthermore, there are many problems on establishing rank formulas for generalized inverses of matrix products and their applications.

This is of importance if for instance M and A are large sparse bandmatrices, since then one avoids increasing bandwidths in matrix products and one can solve systems of linear combinations of M and A more efficiently than for higher order polynomial combinations.

Any property of matrices that is preserved under matrix products and inverses can be used to define further matrix groups.

All these models for three-way crossbreeding can be formulated using Kronecker matrix products and therefore fitted using Henderson's mixed model equations and standard animal breeding software.