Visual Studio Magazine

Principal Component Analysis from Scratch Using Singular Value Decomposition with C#

This article presents a from-scratch C# implementation of the second technique: using SVD to compute eigenvalues and eigenvectors from the standardized source data. If you're not familiar with PCA, ...
Visual Studio Magazine

Principal Component Analysis (PCA) from Scratch Using the Classical Technique with C#

Transforming a dataset into one with fewer columns is more complicated than it might seem, explains Dr. James McCaffrey of Microsoft Research in this full-code, step-by-step machine learning tutorial.
JSTOR Daily

On the Numerical Computation of Eigenvalues and Eigenvectors of Symmetric Integral Equations

The well-known error estimates for the numerical computation of eigenvalues of symmetric integral equations are extended to the computation of the eigenvectors. The ...
Daily Bruin

UCLA mathematician helps prove simplified equation discovered by physicists

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. This ...
JSTOR Daily

On the Sensitivity of the Eigenvalue Problem Ax = λ Bx

This paper considers the sensitivity of the eigenvalues and eigenvectors of the generalized matrix eigenvalue problem Ax = λ Bx to perturbations of A and B. The ...