Sentence examples for matrices we describe from inspiring English sources

Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for the positivity of a trigonometric polynomial formulated as linear matrix inequalities (LMIs) in the coefficients.

Following a divide and conquer approach adapted here from a fast GPU8 method for matrix operations, we describe a new GPU based implementation of the spectral crystal plasticity and demonstrate its performances through a few example case studies involving a Taylor-type polycrystalline model.

The structurally aligned substitution matrices (SASM) that we describe here were computed using structurally aligned protein domain pairs.

For the two cases of matrix multiplication and inversion, we describe, implement, and experiment with several algorithms to find trade-offs between the conflicting goals.

In this case, the non-parametric between class scatter matrix is estimated as we describe following.

By using the parameters of the homography matrix, we can describe the 6 DOF dynamics of a moving object as a linear time-varying system.

Using the stoichiometric relationships defined in the S matrix, we can describe whether any two reactions in the generic model are connected (i.e., share at least one metabolite) with the binary adjacency matrix A| R |×| R |.

First, we describe two matrix inversion formulae.

We describe the matrix system and its resolution algorithm.

Here, we describe some matrix algebra that we have used in this paper.

The primitive iterative method (termed base method) has convergence-order (CO) five and then we describe a matrix polynomial of degree two to design a multi-step method.