Sentence examples for using the linear algebraic from inspiring English sources

Using the linear algebraic techniques, many variables are eliminated from the final existence equations.

It is recommended to group data using the same interval width (e.g. one-, five- or 10-years) for the two main dimensions while the third dimension is calculated from the two others using the linear algebraic relationship: cohort = period - age.

I'm using the linear method".

The major contribution of our work is to establish the bounds of eigenvalues of the preconditioned matrices with respect to the discretization mesh size h, though we also provide the analysis of eigenvalues of the preconditioned matrices using the usual linear algebraic techniques developed in [5, 6, 19].

Within each time step, Newton iteration is used to handle the nonlinearity, and the linear algebraic system is solved by preconditioned Krylov methods.

Of course, one can always compute a linear basis for the left nullspace of a stoichiometric matrix using various linear algebraic algorithms, but then biochemical interpretation of each basis vector is problematic.

For the case analyzed here, that of a 1 1 mapping between GT and ST edges, an analytical, closed form solution to equation (1) can be obtained using a linear algebraic approach (Strang 2005).

The method requires first the approximation of the non-Gaussian probability density function by means of a C-type Gram-Charlier series expansion; the coefficients of this series are then evaluated using very simple linear algebraic relationships once the response statistical moments or, alternatively, the cumulants or the quasi-moments up to a fixed order have been determined.

The fluxes are then computed by using linear algebraic operations to detect all elementary flux modes, which are defined as minimal sets of enzymes that can operate at steady state with all reverse reactions proceeding in the direction prescribed thermodynamics.

The famous two projections theorem for two finite rank projections will be re-proven using linear algebraic methods.

True proportions were estimated by solving this system of equations for each annual smolt and adult collection using linear algebraic methods in r.