Seems like GE on a 2x2 matrix should be pretty darn fast.... especially if you use scalar * vector type operations.

In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of ...

Eigenvalues and eigenvectors are foundational concepts in linear algebra, with extensive applications across various domains such as physics, computer graphics, and machine learning. These concepts ...

College of Engineering, University of South Florida, Tampa, USA. College of Engineering, University of South Florida, Tampa, USA;USF Health Morsani College of Medicine, University of South Florida, ...

Random Fisher matrices arise naturally in multivariate statistical analysis and understanding the properties of its eigenvalues is of primary importance for many hypothesis testing problems like ...

Abstract: Calculating the eigenvalues and eigenvectors of a polynomial matrix has proved to be an important problem in signal processing, in recent years. There exists various iterative algorithms for ...

Consider two p-variate populations, not necessarily Gaussian, with covariance matrices Σ₁ and Σ₂, respectively. Let S₁ and S₂ be the corresponding sample covariance matrices with degrees of freedom m ...

Abstract: An analytic parahermitian matrix admits in almost all cases an eigenvalue decomposition (EVD) with analytic eigenvalues and eigenvectors. We have previously defined a discrete Fourier ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...