Sentence examples for matrices and then from inspiring English sources

Given constant symmetric matrices,,, and, then if and only if (2.5).

First, we focus on constructing the reflection matrices and then we calculate the Casimir force for a water lipid system.

It does a rank NMF on matrices and then a rank approximation from the resulting matrix in [16].

An original sparsified image was measured by the three sensing matrices and then reconstructed by the CoSaMP algorithm.

This paper describes how these correlations are transferred into correlation matrices and then propagated over the entire production chain by means of multiple domain matrices (MDM).

In this paper a method is presented which determines the bandwidths of the mass and stiffness matrices, and then recovers the model by using eigendata.

Each matrix is divided into smaller in size sub-matrices and then each one is tested separately by using a single efficient neural classifier.

Secondly, a preconditioner is applied to decompose the matrices to Kronecker products of sub-matrices, and then graph product rules are utilized to solve the governing linear equation of cyclically symmetric models without inversing the final matrix, while only a small matrix is inversed instead.

In case of 4×4 matrix, the matrix is first divided into four sub-matrices and then inverted in a block-wise manner by using the following formula: left[ begin{array}{cc} mathbf{A} & mathbf{B} mathbf{C} & mathbf{D} end{array} right]^{-1} = left[ begin{array}{cc} mathbf{W} & mathbf{X} mathbf{Y} & mathbf{Z} end{array} right] (15).

Let be an matrix and, then (2.17).

If is a positive definite Hermitian matrix and then (4.16).