In chemistry, the properties of atoms and molecules can be determined by solving the Schrödinger equation. However, because the dimension of the problem grows exponentially with the size of the ...

This is a preview. Log in through your library . Abstract The minimum chi-squared test is obtained for testing the hypothesis that the smallest r eigenvalues of an m × m correlation matrix are equal, ...

Let G be a graph, A(G) be the adjacency matrix of G, and λ(G) the least eigenvalue of A(G). Information is given about the following three quantities: $\lambda_R(G ...

Now assume to be symmetric with non-zero off-diagonal elements, i.e. , . Let be the eigenvalues and the normalized eigenvectors of T, i.e. We consider the inverse problem: Determine from and . It is ...