Sentence examples for by using the eigenvalue from inspiring English sources

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.

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

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.

For example, Liu and Li [9] considered the following first-order functional differential equation with a parameter: u'(t)=-a(t)u(t)+lambda b(t)fbigl ubigl t- tau_{0}(t bigr bigr). (A) By using the eigenvalue theory of operators, the authors established several sufficient conditions for the existence of positive T-periodic solutions.

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.

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

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

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

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.