Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with linear-algebra
Search options not deleted
user 6358
Questions about Mathematica functionality related to manipulating vector spaces and linear mappings between such spaces. This includes determination of matrix properties, matrix transformations, decompositions, and factoring.
1
vote
12
votes
Accepted
Inconsistent results from Wolfram Cloud
I get the same result in Mathematica, so it's not a Mathematica Online issue. I don't think it's even a Mathematica issue. It's due to two factors:
w1 is not equal to w2, because N doesn't actuall …
- 20.4k
6
votes
Compute the stationary distribution of a large transition matrix
edit: it's even simpler since this is a discrete-time Markov chain
I didn't know Roman's trick with SparseArray. Here's another trick: use Method->"Arnoldi", asking for only the eigenvector correspon …
- 20.4k
5
votes
2
answers
1k
views
LinearSolve on a singular matrix
I have some singular transition rate matrices $m$ (columns add to zero). They have exactly one zero eigenvalue that I want to find the corresponding eigenvector of (the rest of the eigenvalues are ne …
- 20.4k
6
votes
Calculating the equilibrium value of a discrete time system in matrix form?
Such a system for arbitrary $A$ has only the trivial equilibrium $x=0$. In this case you're lucky that the dominant eigenvalue of $A$ is 1. In this case, the equilibrium is proportional to the corre …
- 20.4k
5
votes
Accepted
Identifying points in the frontier of a set
If I understand your problem correctly, I think you can derive the envelope using calculus. Basically you have a function n (your needs) of two variables q1 and q2 (q3 == 1 - q1 - q2 since you write …
- 20.4k
10
votes
Tracking Eigenvalues Through a Crossing
Here's a CharacteristicPolynomial-free approach based on the formula for eigenvalue sensitivity ${d\lambda \over dB}={\vec u {dH \over dB} \vec v \over <\vec u,\vec v>}$ where $\vec v$ is the correspo …
- 20.4k
8
votes
Tracking Eigenvalues Through a Crossing
Here's another CharacteristicPolynomial-free approach, this one using Eigenvalues[Method -> "Arnoldi"] to find a single eigenvalue, then tracking it over parameter values using linear extrapolation (o …
- 20.4k
1
vote
Accepted
Find the parameter values for my matrix for it to have imaginary eigenvalues
Based on @george2079's suggestion, let's start by plotting the maximum real eigenvalue:
a = {{1, u^3 + 2, 1}, {0, 1, u}, {1/u^2, 0, 1}};
maxev[v_?NumericQ] := Max[Re[Eigenvalues[a /. u -> v]]]
Plot[m …
- 20.4k
5
votes
Accepted
I want to improve my algorithm of knowing eigenvalues of the matrix H(k)
The biggest speed-up comes from constructing H only once, not every time in the main loop. I also avoided the For loop in saving your results, which repeatedly called Eigenvalues.
n = 100;
M = 0.4;
…
- 20.4k