In linear algebra, the eigengap of a linear operator is the difference between two successive eigenvalues, where eigenvalues are sorted in ascending order. The Davis–Kahan theorem, named after Chandler Davis and William Kahan, uses the eigengap to show how eigenspaces of an operator change under perturbation. In spectral clustering, the eigengap is often referred to as the spectral gap; although the spectral gap may often be defined in a broader sense than that of the eigengap. (Wikipedia).
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (10 of 35) Bases and Eigenvalues: 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explore and give an example of finding the basis for the eigenspace associated with matrix A and eigenvalue=1. Next video in this series can be seen at: https://youtu.be/Bz9BUM1fRe0
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
This video explores the eigenvalues and eigenvectors of a matrix "A". This is one of the most important concepts in linear algebra. The eigenvectors represent a change of coordinates in which the "A" matrix becomes diagonal, with entries given by the eigenvalues. This allows us to easil
From playlist Engineering Math: Differential Equations and Dynamical Systems
Generalized eigenvectors. Generalized eigenspaces. Generalized eigenvectors corresponding to distinct eigenvalues are linearly independent.
From playlist Linear Algebra Done Right
With the eigenvalues for the system known, we move on the the eigenvectors that form part of the set of solutions.
From playlist A Second Course in Differential Equations
Lecture: Eigenvalues and Eigenvectors
We introduce one of the most fundamental concepts of linear algebra: eigenvalues and eigenvectors
From playlist Beginning Scientific Computing
Eigendecomposition : Data Science Basics
What is an eigendecomposition and why is it useful for data science? Eigenvalues and Eigenvectors Video: https://www.youtube.com/watch?v=glaiP222JWA
From playlist Data Science Basics