This project explores and implements various iterative and direct methods for computing the eigenvalues of a matrix. Each method is written in MATLAB with clarity and mathematical accuracy in mind.
This Python script is designed to help users calculate the eigenvalues and eigenvectors of a 3x3 matrix they provide. Additionally, it generates the characteristic equation for the matrix. The script ...
Recently, in order to find the principal moments of inertia of a large number of rigid bodies, it was necessary to compute the eigenvalues of many real, symmetric 3 × 3 matrices. The available ...
Journal of Applied Probability, Vol. 41, Stochastic Methods and Their Applications (2004), pp. 347-360 (14 pages) This paper investigates the probabilistic behaviour of the eigenvalue of the empirical ...
Abstract: The state-space and the resistive companion (RC) nodal methods are two common techniques for dynamic modeling and simulation of power systems. The eigenvalues of a state-space model’s state ...
Abstract: Computation of the eigenvalues with the least damping ratios is one of the most efficient approaches to analyze the electromechanical oscillations of power systems. In this paper, an ...