# Questions tagged [eigenvalues]

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### Solving $\det{(A+\epsilon B)}=0$ for large, symmetric and dense $A$ and $B$

In an algorithm I am writing, I need to solve the equation $$\det{(A+\epsilon B)} = 0,$$ for the smallest value of $\epsilon$, given large ($n$x$n$ ideally up to 150x150), dense and symmetric A ...
341 views

### Eigenvalues for a $4 \times 4$ matrix [duplicate]

In Mathematica, I computed the following: ...
85 views

### Inaccurate zero eigenvalues for 7*7 matrix [closed]

I have symbolic entries for all the elements of a 7*7 matrix. At the symbolic level Eigenvalues gives two zeroes and five others that are extremely complicated. At ...
381 views

### Making an interactive visualization of the eigenvectors of two-dimensional matrices

I've recently stumbled upon this very nice interactive visualization of eigenvectors of two-dimensional matrices, and how powers $A^k$ act on various vectors. How can this sort of visualization be ...
28 views

### Eliminate the higher powers of eigenvalues of a matrix

I want to found de eigenvalue of following matrix ...
64 views

### Eigensystem for simple equi-correlation matrix

I'm trying to get a set of eigenvectors for a correlation matrix, but getting stuck, maybe because I do not properly normalize them. For example, the following code works, in the sense that I get back ...
71 views

### How to solve a matrix $Ax=0$, where matrix $A$ is a function of $ω^2$ [closed]

I have a matrix $A$ which depends on $ω^2$. I wanted to solve for $ω$. The usual procedure is taking the Det[A] and equate to zero and solve for it. How can I ...
124 views

152 views

### Eigenvalues of large matrix

Consider the following code zx = Table[Tan[7/9 (i + j)], {i, 100}, {j, 100}]; Eigenvalues[N[zx]] Every time I run this code I get new sets of eigenvalues. Can ...
90 views

### Is it possible to change the ring in which Mathematica does operations?

I would like to use Mathematica to find the eigenvalues of various members of a family of matrices which I'm using for research. The problem is that these matrices exist in \$M_{n\times n}\left(\mathbb{...
143 views

### Boundary value problem, multiple dimensional shooting, coupled eigenvalue problem

Following the one dimensional boundary value problem here, I would like to understand the easiest way to solve a BVP for a coupled system. In the 1D case, BVP can be converted to an initial value ...
845 views

### An ODE system easily polluted with spurious eigenvalues

I tried solving the eigenvalue problem of a 1st-order ODE system (see the code below) with NDEigenvalue. (One option I found in it seems to be ...
142 views

### How to control DifferenceOrder in NDEigenvalue for an ODE?

I am trying to solve the eigenvalue problem of a 1st-order ODE system using NDEigenvalue. It should be finite difference method for ODE. And I want to tune the the ...
118 views

### Why the sign of eigenfunctions obtained from NDEigensystem are flipped

I am trying to verify my hand solution for a HW problem using Mathematica. I noticed that I get correct eigenvalues from Mathematica using DEigenvalues but when ...