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### Optimization with the constraint of rank=1

I have the following matrix $$A = [x_1, x_2, ..., x_n],$$ where $x_i \in \mathbb R^n$. But I know the relationship that \begin{align} x_2 = s_2 x_1 \\ x_3 = s_3 x_3 \\ ... \end{align} where $s_i$...
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### Solving system equation

Given matrix $K_{n \times n}, H_{n \times n},M_{n \times n}$, I want to solve for $B_{n \times n}$ and $V_{n \times 1}$ from the nonlinear system of equations: \begin{aligned} &H_{i j}=\frac{B_{i ...
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### How to optimize sampling for global sensitivity analysis

What is a good way to sample parameters for performing global sensitivity analysis? Some methods are defined using integrals, some are use Monte Carlo. How do these compare?
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### Numerical bottlenecks

On a desktop scale computer, what are the most important bottlenecks (RAM vs. CPU, single vs. multithread) for numerical calculations? I'm specifically most interested in exact diagonalization and ...
49 views

### Estimation of viscosity from critical properties

The above graph represents reduced viscosity as a function of reduced temperature for several values of the ...
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### How to Collect fraction in Maple 18? [closed]

Suppose I have $$f=\frac x 3+ \frac y 3 +\frac z 3$$ And I want to use collect(f, 1/3) And I wish it will displays $$f=\frac1 3(x+y+z)$$ But it doesn't work....
I'm trying to educate myself on modelling solute flows through pipe networks. This is a follow up of my previous post here $$\frac{\partial C}{\partial t} = - v\frac{\partial C}{\partial x}$$ While ...