Sentence examples for by using an eigenvalue from inspiring English sources

The analysis is extended to multiple non-null eigenvalues by using an eigenvalue shifting technique.

Furthermore, the decay rate of the estimation error and transient response of the observer are also considered by using an eigenvalue placement technique.

In Section 3.1 the stability of the boundary equilibria are specified by using an eigenvalue analysis and the LaSalle-Lyapunov method.

By using an eigenvalue factorization, the matrix D γ ̄, i R i can be diagonalized as D γ ̄, i R i = U i Λ i U i − 1, (13).

The time scales on which the Na layer responds chemically to gravity wave perturbations have been explored using an eigenvalue analysis by Xu and Smith.

For this the parameters of the supplementary controller are determined by IA using an eigenvalue-based objective function.

In summary, we present a methodology to explore and uncover novel patterns of epigenomic variability and covariability in genomic data sets by using a functional eigenvalue decomposition of genomic data.

The modal loss factor can then be expressed approximately by using a corresponding real eigenvalue, for which the stiffness of the damping material is taken into account but its mass density is set to zero and ignored.

The non-linear eigenvalue problem can now be solved iteratively, by using an initial approximation for λ to build S λ, then solve the eigenvalue problem by suitable means and use the resulting eigenvalue as a new approximation for λ.

By using a bifurcation from a simple eigenvalue theorem of Crandall-Rabinowitz [24], we conclude that ( λ ∗, 0, …, 0 ) is a bifurcation point.

A general algorithm which resolves the uncertain eigenvalue problem by using a reanalysis approach is considered.