# Questions tagged [vectorization]

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### Solving differential equation by setting vectorization on in MATLAB

This is a follow up to my previous question posted here. I've set up an ode system in MATLAB and I'm trying to vectorize the code to increase the speed of computation. The follow is the code for my ...
36 views

### k nearest neighbors dictionary for vectors?

Does there exists an data structure that stores in a dictionary vectors, then when given a key that is also a vector returns the k nearest vectors using a similarity like Euclidean or Cosine? ...
185 views

### How to compare 2D vector fields and minimize the difference?

I want to compare the field of two electrical currents and compare the resulting field to a magnetic dipol field and find magnetic momentum that minimizes the difference of the two fields. My current ...
59 views

### Help with vectorized computation where vector multiplication would need to create an additional dimension

I want to use vectorized computation (with python and numpy) to do some calculation involving bessel functions. As is often the case, I need to calculate the sums of bessel functions of (infinit) ...
871 views

### Vectorised second order ode solving in python

I am trying to write a python program that simulates the motion of a large number of particles by numerically integrating a second order ordinary differential equation. I first split the ODE into two ...
219 views

### How to vectorize 2 nested for loop with one complex condition in the inner loop?

Octave calculations is too slow specially when you deal with scientific calculations that can span a very very large matrix, even just iterating. I have to vectorize it to speed up the calculation. ...
370 views

### Compiled c++ code runs much faster with double than float. Explanation?

I am still rather new on here and I hope question is suitable for this forum otherwise please help me migrate it to greener pastures. I am an electrical engineer specializing in applying mathematics ...
110 views

### What exactly is Hardware Acceleration?

I'm able to find many definitions and notions to this term including, Implementing the algorithm (or part of it) in hardware :- Instructions like FMAD; FPGAs Parallelizing the algorithm at the ...
2k views

### integral including a vector

I need to calculate the integral of this function def f(z): return ((1-2*z)*np.exp(-d/z))/(((1-z)**(2+d))*(z**(2-d))) Here d is a constant. I am using this ...
156 views

### vectorizating function integration scipy python

I need to implement the following in python: For a given discrete time series Zt (t=0 to T), find smallest t such that: $c\sum_{s=0}^t e^{[k(Zt-Zs)+m(t-s)]} >= \frac{p*}{1-p*}$ where c,k,m are ...
1k views

### Vectorize a part of a huge matrix in C++

I have a large matrix, side-length is about $n\geq 1000$. I need to do element-wise multiplication of this matrix with another matrix many, many times. I make this process by: Vectorizing (through ...
1k views

### Why do libraries need hand-vectorized code instead of compiler auto vectorization

C++ eigen library does vectorization for different architecture, like SSE, NEON etc. In their documentation they mentioned that, Eigen vectorization is not compiler dependent. But most modern ...
48 views

### Vectorization Algorithm using only rectangle

As stated in the title I have a raster image (black or white) with no complex or fuzzied components (only horizontal or vertical text, italic or bold are allowed). I need to express that raster image ...
138 views

### Matlab Vectorization of columns in a 2D matrix and single element multiplication

MATLAB. I am trying to vectorize a loop in which each column vector of a 2D matrix (n-by-n) is found by multiplying each single element in a diagonal matrix with a column vector in another n-by-n 2D ...
948 views

### Why is SIMD programming on such a low level in CPU's compared to GPU's?

Just speaking from my experience in c++ - Its really tricky to take advantage of the SIMD capabilities of modern CPU's for more complex algorithms. If I see an opportunity from a high level OO ...
307 views

### Fast way to repeatedly solve a small nonlinear equation system

A small nonlinear equation system (sizes around 12 ✕ 12) needs to be solved repeatedly (millions of times); each time with some variation in parameters/coefficients (although the equation set is ...
301 views

### quiver3 gives non-conformant arguments?

Does anyone know why I'm seeing these errors? I'm not giving it a matrix. ...
590 views

### Manipulating Matrices in Matlab

Suppose I have a matrix $A$ of size $n_1 \times n_2 \times n_3$ Now, I have another matrix $B$ of size $n_1 \times n_2 \times n_3 \times N$ where $N<n_3$ I'd like to create the following matrix ...
12k views

### Octave: calculate distance between two matrices of vectors

Suppose I have two matrices Nx2, Mx2 representing N, M 2d vectors respectively. Is there a simple and good way to calculate distances between each vector pair (n, m)? The easy but inefficient way is ...