Sentence examples for by using the eigenvalues from inspiring English sources

Figure 4 The formants components isolated by using the eigenvalues decomposition method.

Figure 2 An illustration of the formants reconstruction by using the eigenvalues decomposition method.

The eigenvalues and eigenvectors are obtained by using the eigenvalues decomposition of.

One achievement is that a general frequency response function (GFRF) is defined by estimating the coefficients, poles and zeros of the structure, rather than by using the eigenvalues and eigenvectors.

Furthermore, the semigroup T ( t ) can be easily constructed by using the eigenvalues and eigenfunctions of a differential operator A. For this reason, we first consider the following eigenvalue problem: This problem is called a Sturm-Liouville problem.

Moreover, the semigroup S ( t ) can be easily constructed by using the eigenvalues and eigenfunctions of the infinitesimal generator B. Hence we first consider the following eigenvalue problem: B ϕ ( x ) = λ ϕ ( x ), ϕ ( 0 ) = 0 ; ϕ x ( x 0 ) = 0. (19).

Define a family of linear differential operators L by using the eigenvalue problem L ψ = λ ψ. (31).

We show that by using the eigenvalue theorem in Algebraic Geometry, a numerical method can be developed to design a superconducting cable satisfying a predetermined current distribution.

The large sizes of the stiffness and mass matrices, obtained in the case of a three-dimensional element analysis, are reduced by using the eigenvalue economizer technique.

The objective (19) can be solved by using the eigenvalue decomposition (EVD) of D D H, i.e., {mathbf{DD}}^{H}= {mathbf{U}} {boldsymbol{Lambda}} {mathbf{U}}^{H}, (20).

(19) The objective (19) can be solved by using the eigenvalue decomposition (EVD) of D D H, i.e., {mathbf{DD}}^{H}= {mathbf{U}} {boldsymbol{Lambda}} {mathbf{U}}^{H}, (20) where U is a unitary matrix, and Λ is a real diagonal matrix in which the diagonal entries are the eigenvalues of D D H.