Hoi Nguyen, Van Vu, and myself have just uploaded to the arXiv our paper “Random matrices: tail bounds for gaps between eigenvalues… 489 more words

## 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. 635 more words

#### 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… 295 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

#### 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