Tags » Eigenvalues

Algebraic methods 2 - the adjacency matrix and the eigenvalues of a graph

A huge problem in graph theory is to find out if it’s possible to cover or span a given graph with copies of other given graphs. 652 more words

Algebraic Methods

Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors is an important and wide concept of Matrices. They are mostly used in the calculations of linear transformations.

By definition:-

An… 296 more words


Linear Algebra: Part IV

It’s been a couple of weeks since I have posted about what I’m learning. I’ve been slow on finishing this chapter because life has made me minimally busy with interviews and shadowing for jobs. 507 more words

Effect of Feedback-path Filtering on Controller Design

Controller design for a power conversion system is mostly a straightforward matter (see my previous post on Controller Design). Unless there are some interesting circumstances, such as dominant parasitics, very low carrier ratio (which is the ratio of the switching frequency to the closed-loop bandwidth), or highly non-linear operating point, then the design procedure is very simple and could be easily automated, for example, with a MatLab or Python script.   846 more words

Power Electronics

Extracting Eigenvalues from a Linear Regression in R

The function below extracts the eigenvalues and an eigenvector from a linear regression model. I wrote this function so that the eigenvalues and vectors are the same as those reported by the SAS PROC REG procedure when using the COLLIN option. 286 more words

Math & Stats Fun

Random matrices have simple spectrum

Van Vu and I have just uploaded to the arXiv our paper “Random matrices have simple eigenvalues“. Recall that an Hermitian matrix is said to have simple eigenvalues if all of its eigenvalues are distinct. 616 more words