Sentence examples for matrices for numerical from inspiring English sources

Note that in constrast with our previous extension of Granger causality ([12]), the complex Granger causality is now formulated in terms of the trace – and not the determinant – of matrices, for numerical stability and more theoretical considerations (see discussion below).

So, in total we used 80 different n=40 sensing matrices for the numerical experiments in Tables 7 and 8.

I present a minor, but important correction to Kleiser and Schumann's influence-matrix solution for numerical simulation of 3D time-dependent incompressible flow between no-slip plane boundaries (L. Kleiser, and U. Schumann, in Proc. 3rd GAMM Conf. Numerical Methods in Fluid Mechanics, edited by E. H. Hirschel, Vieweg, Braunschweig, 1980, p. 165).

where E is permutation matrix required for numerical stability [22].

Two matrices of numerical variables were built: K1 contains the data for the expression study (eX), and K2 those from the genome investigation (CGH).

Saadatmandi and Dehghan [20] presented a shifted Legendre tau method with an operational matrix for the numerical solution of a multilinear and nonlinear fractional differential equation.

A spectral-tau algorithm is based on the Jacobi operational matrix for a numerical solution of time fractional diffusion-wave equations.

Moreover, spectral methods are applied with the help of the operational matrix of fractional derivatives for numerical approximations of the linear and nonlinear FDEs [17 19], not only the operational matrices of fractional derivatives, but those of fractional integrations are used with the help of the tau and pseudospectral methods to solve some types of FDEs [20 22].

Matrix methods are more useful for numerical analysis calculations with computers and for systems that can be described in terms of a finite number of states, such as the spin states of the electron.

The convex linear matrix inequality algorithm is utilized for numerical construction of the state-feedback control law.

Matlab provides very efficient algorithms for matrix inversion of numerical matrices, based on the Fortran package LAPACK.