Linked Questions

7
votes
3answers
2k views

How to plot several functions without jumping? (multiple eigenvalues of a system as functions of 2 parameters)

I've been working on this research problem for months with some success by no global/proper solution to the problem. So I have square, Hermitian matrices of various sizes ($8,20,38$ dimensions) with ...
12
votes
1answer
963 views

Sorting eigenvectors according to its projection

The problem I'm trying to calculate the eigenvalues and eigenvectors of a matrix that depends on a parameter x. As x changes, I ...
4
votes
1answer
2k views

How to sort eigenvalues?

I am trying to find Eigenvalues to a 12x12 Matrix ($H$) dependent on two variables $x$ and $y$. Later I want to do a 3D plot of one eigenvalue ($E$) over $x$ and $y$. An analytical solution is not ...
0
votes
1answer
300 views

How do I store Eigenvalues of a 14*14 matrix in a For loop into an array and then plot that array? [closed]

I have a matrix 14*14 that is dependent on parameter a. How can I plot eigenvalues of the matrix according to varous values of a?
3
votes
2answers
225 views

Plot and an error

I have set of matrices(multiplied to give U123[q, p, r]) and would like to diagonalize U123[q, p, r] and plot the eigenvalues. ...
3
votes
1answer
522 views

Eigenvalue/eigenvector reordering and/or renormalisation?

I have two functions $f(x,y),g(x,y)$ and a matrix $M=\begin{pmatrix}\frac{\partial f}{\partial x} & \frac{\partial f}{\partial y}\\\frac{\partial g}{\partial x} & \frac{\partial g}{\partial y}...
0
votes
1answer
107 views

Strange eigenvector behaviour for matrix with large numerical values

I'm trying to compute the eigenvectors of a matrix with large numerical values $$ \left( \begin{array}{ccccc} 0 & 1.\times 10^{18} & 100 \text{X} & 0 & 1.\times 10^{11} \text{X} \\ ...
1
vote
0answers
192 views

CharacteristicPolynomial returns 0

I have a following matrix. ...
1
vote
1answer
79 views

Is it possible to align roots to plot consistently?

I made a routine to find roots of the equation for a specific range of input angle. For this model, usually total number of roots is 10, however at some angles total number of roots is 8. Because of ...
0
votes
0answers
91 views

plotting functions containing branch cuts and crossings

For Functions That Do Not Have Unique Values, mathematical chooses a specific value; when plotting, say, the eigenvalue of a matrix that has such branch cuts, if the eigenvalues do not cross each ...