Sentence examples for matrix with eigenvalues from inspiring English sources

Suppose is a constant matrix with eigenvalues.

Assume that is a constant matrix with eigenvalues, and suppose that is such that (3.7).

Let Q be a (ptimes p) nonnegative definite matrix with eigenvalues (omega _{1},ldots,omega_{p}).

Let W n be a symmetric random matrix with eigenvalues λ ˜ j ( n ), 1 ≤ j ≤ d.

Let be an positive definite Hermitian matrix with eigenvalues, and let be an arbitrary complex matrix, then one has (3.20).

Let (M in M_{n}(C)) be an (ntimes n) complex matrix with eigenvalues (lambda_{i}) ((i=1,2,ldots,n)).

The formulation allows for a very fast and very accurate calculation of the stationary jpdf of the displacement and velocity by solving an eigenvector problem of the transition probability matrix with eigenvalue equal to 1.

Like Laplacian matrix for any network the vector (1,1,1,…) is an eigenvector of the modularity matrix with eigenvalue zero but the eigenvalues of the modularity matrix are not necessarily all of one sign i.e. matrix has both positive and negative eigenvalues [39].

Local properties of the interior steady state implies the existence and uniqueness of a locally stable manifold, which is one‐dimensional, continuously differentiable manifold, tangential to the linear space spanned by the eigenvector of the Jacobian matrix with eigenvalue less than one.

Mathematically, this vector is the eigenvector of the matrix with eigenvalue +1.

We find the left eigenvector v = (v0, v1, v2, v3) of the collapsed matrix with eigenvalue 1.