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Questions tagged [matlab]

For mathematical questions about MATLAB; questions purely about the language, syntax, or runtime errors would likely be better received on Stack Overflow. MATLAB is a high-level language and interactive programming environment for numerical computation and visualization developed by MathWorks.

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Is Sage on the same level as Mathematica or Matlab for graph theory and graph visualization?

The context: I'm going to start working on a project that involves running predefined algorithms (and defining my own) for very big graphs (thousands of nodes). Visualization would also be welcome if ...
54k views

How to generate random symmetric positive definite matrices using MATLAB? [closed]

Could anybody tell me how to generate random symmetric positive definite matrices using MATLAB?
3k views

Matlab wrong cube root [closed]

How can I get MATLAB to calculate $(-1)^{1/3}$ as $-1$? Why is it giving me $0.5000 + 0.8660i$ as solution? I have same problem with $({-1\over0.1690})^{1/3}$ which should be negative.
18k views

Implementing Ornstein–Uhlenbeck in Matlab

I am reading this article on Wikipedia, where three sample paths of different OU-processes are plotted. I would like to do the same to learn how this works, but I face troubles implementing it in ...
1k views

A hole in the distribution of eigenvalues - is this real?

Plot the eigenvalues of many $n\times n$ real matrices in the complex plane, where the matrices are taken from a some distribution. For $n>7$, you can start to see a hole at the origin starting to ...
799 views

What function could describe this GIF animation?

I found this image on Beautiful Mathematical GIFs Will Mesmerize You and this GIF really caught my attention. From what I see, it's a 2D circle morphing into the 3D sphere. What function could ...
47k views

Piecewise function plot in Matlab

Is it possible in Matlab to plot an even piecewise function like: $f(x) = \begin{cases} 3t , 0 < t < \pi \\ -3t , -\pi \le t \le 0 \end{cases}$ which has a period of $2\pi$. I can'...
2k views

What is the difference between optimal control and robust control?

What is the difference between optimal control and robust control? I know that Optimal Control have the controllers: LQR - State feedback controller LQG - State feedback observer controller LQGI - ...
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Fast algorithm for approximating Eigenvalue distribution of large sparse matrix

I am interested in the eigenvalue distribution of a huge $2^{16}$x$2^{16}$ Hermitian sparse matrix with spectrum contained in $[-1,1]$. That is I don't need to know all eigenvalues exactly, but rather ...
13k views

Evaluate derivative of Lagrange polynomials at construction points

Assume, that we have points $x_i$ with $i=1,...,N+1$. We construct the Lagrange basis polynomials as \begin{align} L_j(x) = \prod_{k\not = j} \frac{x-x_k}{x_j-x_k} \end{align} Now according to my ...
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Matlab code to compute the smallest nonzero singular value of the matrix without using SVD

I want to compute the smallest nonzero singular value of the matrix A, which is defined as follows. Let $B = rand(500, 250)$, $A = B*B^t$, where $t$ denotes the transpose of the matrix. I found ...
5k views

How can I write an SDE in Matlab?

My professor would like me to solve a system similar to the following: $$dx_i=[f_i(x_1,x_2,...x_n)]dt + g_ix_idW_i$$ Where $g_i$ are positive constants that measure the amplitude of the random ...
693 views

is there a name for this function (parity of a finite sequence)?

Variants of this question have been crossposted to Stack Overflow and Computational Science Stack Exchange. Additional answers may be found at these other sites. Math people: In an attempt to solve ...
416 views

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Two Matlab ODE solvers, two different results

I am solving a system of ODEs using Matlab. One particular set of parameters caused the solver to fail, so I worked my way through the different solvers Matlab provides. I was surprised to find that ...
458 views

Problem with an algorithm to $3$-colour the edges of cubic graphs

I'm currently trying to implement an algorithm to $3$-colour the edges of cubic graphs. (I want to do this with Matlab's Symbolic toolbox). After restricting to planar graphs to ensure the existence ...
248 views

Using collocation method to solve a nonlinear boundary value ODE

I have the following ODE $$u'' = -(1 + e^u), \quad u(0)=0,\quad u(1)=1$$ I want the divide the interval $[0,1]$ into $n-1$ equal subintervals each with length $h=1/(n-1)$ and we take approximate ...
6k views

How to calculate $\exp(-x)$ using Taylor series

We know that the Taylor series expansion of $e^x$ is \begin{equation} e^x = \sum\limits_{i=1}^{\infty}\frac{x^{i-1}}{(i-1)!}. \end{equation} If I have to use this formula to evaluate $e^{-20}$, how ...
8k views

Matlab code for finding the curvature of a curve using given data points

I have data points $(x,y)$ for a plane curve, and I would like to find its curvature. While I was googling to check how could I start, I found this matlab code: ...
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How to use Newton's method to find the roots of an oscillating polynomial?

Use Newton’s method to find the roots of $32x^6 − 48x^4 + 18x^2 − 1 = 0$ accurate to within $10^{-5}$. Newton's method requires the derivative of this function, which is easy to find. Problem is, ...
7k views

Bayesian Network for dummies

I know the Bayes Theorem but I've never heard nor used Bayesian Networks. Now I'm told to use Bayesian networks to estimate a dysfunction probability in a noisy signal with Matlab Can someone please ...
8k views

Solving $Ax=b$ under $L_1$ $|Ax-b|$ minimization

I would like to solve a linear system $Ax = b$ under the $L_1$ norm constraint $\min(|Ax-b|)$. All that I can find about $L_1$ minimization is a way to minimize $|x|_1$ subject to $Ax=b$. I wanted to ...
8k views

Kendall tau calculation

Can someone explain how the Kendall tau works? I can't seem to find a good explaination/tutorial/example. I've been running corr(x,y,'kendall') from Matlab's ...