Sentence examples for by combining the eigenvalue from inspiring English sources

The coexistence of problem (1.3) is investigated by combining the eigenvalue problem and monotone iterative schemes when (R_{0}^{D}>1), while if (R_{0}^{D}<1), problem (1.3) has no coexistence solution.

The proposed expression is derived by combining the differentiations of the eigenvalue problem and normalization condition into one linear algebraic equation.

In this paper, we propose the singular-value decomposition technique to filter our spurious eigenvalues and to determine the multiplicity of true eigenvalues by combining the dual equations in MRM.

A method for estimating the upper and lower bounds of eigenvalues of the closed-loop systems is presented by combining the matrix perturbation and optimization.

A single health needs indicator was calculated by combining the two components together using a 2 1 weighting, based on their relative eigenvalues.

The optimal structural modification is calculated by combining eigenvalue sensitivities and eigenvalue reanalysis technique iteratively.

The displacement functions are approximated by Bickley-type splines to obtain the generalized eigenvalue problem by combining with boundary conditions.

The number of components was determined by combining three criteria: Cattell's scree test, Kaiser's eigenvalue-greater-than-one rule, and Horn's parallel analysis [ 27].

Finally, the stability analysis is conducted by investigating the eigenvalue problem of the combined system.

Eigenvalue spectra allow assessing the differences in overall structure of interaction matrices by exploring the eigenvalue profiles, that vary according to how interactions are distributed among species (see Methods and Supplementary Information).

Ratio of Eigenvalues is computed by dividing the eigenvalue for the first component by the eigenvalue for the second component for each subscale.