I am writing a computer vision related program and stuck on a problem. I have a system of quadratic equations
where M is a constant 3x3 matrix, is the 3x3 identity matrix, and we are solving for the ...

I'm a student at a college with only two units of mathematics and I don't know if I'm asking in the right place so please bear with me.
I'm currently reading GPU Gems by nvidia and I have a question....

I computed the first four eigenvalues of a quite large ($2^{24}\times 2^{24}$) but very sparse matrix. I used pythons in-build function sparse.linalg.eigsh to compute them.
I need a validation that ...

If you multiply two normal distribution PDFs with means $\mu_1$ and $\mu_2$ and variances $v_1$ and $v_2$, then according to this page, the new mean is
$$\mu = \frac{\mu_1 v_2 + \mu_2 v_1}{v_1 + v_2}$...

I'm aware that typical techniques to store matrices in sparse form are compressed formats or maps where the key is the pair of indices and value the value of the entry in a matrix.
I was wondering if ...

Motivation:
Following this discussion about using asymptotic expansions (i.e. polynomial power series) for numerically solving partial differential and algebraic equations (PDAE), I couldn't find any ...

Suppose I want to economise $\sin x$ with the following taylor series:
$$P_{2n-1}(x) = \sum^n_{i=1}(-1)^{i-1}\frac{x^{2i-1}}{(2i-1)!}$$
for the interval $[-1, 1]$ for $P_5(x)$.
For $P_5(x)$, I have ...

Say I have two real number types. They may be floating or fixed point. How can I construct a new type whose values are at least the union of the two with the minimal number of bits?
There are 3 cases ...

Assume I have $P$ processors, each having a different vector $v_p$ of size $N$, $p=1, ..., P$. I learned in this question/answer that for computing the matrix-vector product
$$w = (E\otimes I_N)v$$
...

I was listening CS231n (2017) lectures and noted that there is a lot of attention to Numerical Gradient Computation (NGC). It starts @5:53 in this video and appears a few times later.
Also, looking ...

Suppose we are given a matrix $A$ over real numbers and we want to computer the inverse of matrix $A$. There are various algorithms to do so and it also turn out that we can use matrix multiplication ...

I have a certain function that calculates numerically, for every $x \in [0,10]$, a value $y\geq 0$. I want to find an approximate minimum point of that function. A possible solution is to calculate $y$...

In my work, I had to essentially compute the following quantity.
Given a sequence of positive floating point numbers $\{a_i\}_{i=1}^n$, such that
$$6000 \leq a_i \leq 7000$$
I needed to compute the ...

I am building a small library for computing information retrieval metrics for classifiers (precision, recall, f1, accuracy, whatever). Typically each metric is built by calculating a single value for ...

I have to solve a system of up to 10000 equations with 10000 unknowns as fast as possible (preferably within a few seconds). I know that Gaussian elimination is too slow for that, so what algorithm is ...

I have a fairly simple real-valued genetic algorithm that seems to work fairly well, however it currently has some issues that I'm hoping to get some help with. If we consider a 1-dimensional problem, ...