Sentence examples for become the eigenvalues of from inspiring English sources
The quadratic inverse eigenvalue problem (QIEP) is to find the three matrices M,C, and K, given a set of numbers, closed under complex conjugations, such that these numbers become the eigenvalues of the quadratic pencil P= λ2M+λC+K.
His study revealed that, as the dimension of the matrix increases, the eigenvalues of the matrix become more and more predictable irrespective of the exact realization of the matrix (see Figure 1).
end{aligned}In the representation of parameters (triangle =(frac{1}{2},frac{1}{2})), the eigenvalues of the Casimir operators become: begin{aligned} leftlangle Q^{(1)}_{frac{1}{2}} rightrangle =frac{3}{2},quad leftlangle Q^{(2)}_{frac{1}{2}}rightrangle =frac{3}{16}.
The eigenvalues of the matrix M ˜ become λ ˜ = μ λ and therefore, the solution y ˜ of the transformed equation is smoother than the solution y of the original one.
An additional argument shows that embedded positive eigenvalues become discrete eigenvalues of (H theta )) for (text {Im},theta in (0,tfrac{pi }{2})).
Specifically, the BO formulation may fail due to crossing of the eigenvalues of the covariance matrix, while both BO and DO become unstable when there is a high condition number of the covariance matrix or zero eigenvalues.
If the real parts of all the eigenvalues of the Jacobian matrix J is negative, the system (13) is stable; otherwise, the system can become unstable.
