University of Waterloo expert to deliver computer science distinguished lecture Mark Giesbrecht, professor and director of the David R. Cheriton School of Computer Science at the University of ...

This article presents a from-scratch C# implementation of the first technique: compute eigenvalues and eigenvectors from the covariance matrix. If you're not familiar with PCA, most of the terminology ...

Systems of linear equations. The geometry of solutions. Eigenvalues, calculation for 2 x 2 and 3 x 3 case by the characteristic equation. Completeness of eigenvectors. Eigenvalues and eigenvectors of ...

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 ...

When a Hermitian linear operator is slightly perturbed, by how much can its invariant subspaces change? Given some approximations to a cluster of neighboring eigenvalues and to the corresponding ...

Moreover, they realized that the relationship between eigenvectors and eigenvalues — ubiquitous objects in math, physics and engineering that have been studied since the 18th century — seemed to hold ...