Sentence examples for matrix operations that from inspiring English sources

When matrix notation is used in finite element analysis, the organizational properties of matrices allows systematic compilation of the required data and the finite element analysis is then defined as a sequence of matrix operations that can be programmed directly for a digital computer.

Moreover, a FPU unit is of real value for matrix operations that have high precision requirements.

To manage variable size complex matrix operations that are involved in the MMSE equalization algorithm, complex matrix operations are decomposed into basic real arithmetic operations.

This can be attributed to the fact that the GPGPU is a more specialized hardware and is designed to deal with floating point graphics and matrix operations that works well with the super-resolution application.

The MSA is based on the matrix operation that is applicable to the higher order hydraulic system even involved with many nonlinear problems.

It will be recalled that for matrix groups, the Riemannian distance is defined by the matrix logarithm operation, that is for matrix group elements and we have (20).

In-built functions for matrix operations (including that for the calculation of the Moore-Penrose pseudoinverse) were used to implement the reiterative least-squares spectral resolution [ 137] and the multicomponent analysis [ 139] (Additional file 4), whereas the 'fminsearch' function (optimization toolbox) provided the Nelder-Mead simplex algorithm [ 144].

The Kernel Logistic Regression (KLR) method [18] performed slightly better than BMRF, but this method involves an expensive matrix exponentiation operation, that is needed to compute the diffusion kernel.

The main challenge in the integration of the MIMO models to the higher layers is the accurate computation of the MIMO channel capacity, which requires complex matrix operations and methods that do not provide closed-form solutions.

There are a number of basic operations that can be applied to modify matrices, called matrix addition, scalar multiplication, transposition, matrix multiplication, row operations, and submatrix.

The point symmetry operations are signed permutation matrices given by and the corresponding space operations that generate the space group are These operations together with the translation group generated by form a faithful representation of the group in five-dimensional Euclidean space.