This problem is known as order determination, and amounts to estimating the rank of a matrix. Previous order-determination procedures rely either on the decreasing pattern, or elbow, of the ...

Paul A. White, The Computation of Eigenvalues and Eigenvectors of a Matrix, Journal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 4 (Dec., 1958), pp. 393-437 ...

If, in addition to the above adjustments, each node is given weight equal to its row sum in the matrix-vector multiplication, the resulting eigenvector will be the one corresponding to the first ...

Eigenvectors and eigenvalues are independent, and normally they must be calculated separately starting from the rows and columns of the matrix itself. College students learn how to do this for simple ...

Given a data set with ny Y variables, ny eigenvalues and their associated eigenvectors can be computed from its covariance or correlation matrix. The eigenvectors are standardized to unit length. The ...

Correction: The original version of this article incorrectly stated that eigenvalues are the magnitudes of eigenvectors. In fact, eigenvalues are scalars that are multiplied with eigenvectors.