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23 views

Representative value of non-square matrix

First of all, I apologise if this question is inappropriate, I wish I could be more specific - but due to the nature of it, as I am actually asking for a suggestion of some technique, that's hard to ...
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0answers
17 views

When does the leading right eigenvector gives the stationary distribution?

I am trying to make sense of the meaning of the leading right eigenvector in mathematica modeling (applied mathematics). I am interesting in models of the kind $\overrightarrow v(n+1) = M ...
1
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2answers
372 views

Real world situation with System of Equation with 3 variables?

Where do you run into a real world situation involving 3 variables and 3 equations? Can someone think of a specific example from business, etc? I recall taking an operations research course that ...
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0answers
80 views

Measuring Reasonableness

Measuring Reasonableness I'm working on a problem I refer to as "measuring reasonableness". My asks are along two lines: on one hand, I'm struggling with a specific problem on my current approach and ...
3
votes
1answer
200 views

A real life application for QR decomposition

I need to use the QR decomposition of a matrix for a real life application, (use it on a particular matrix form) and I have no idea what to do. Can you suggest me a real life application for this? ...
1
vote
1answer
175 views

Finding the “differentness” of two point clouds

I would like to reduce the "differentness" of two point clouds $X$ and $Y$ to a single comparable value $\lambda$, which would ideally be $0$ when $X$ and $Y$ are identical upto isometry (rotation, ...
1
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2answers
4k views

What are the applications of matrices in real world?

Matrices are considered very important in mathematics. What are some examples of applications of matrices to real world problems that would be understandable by a layman?
3
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1answer
255 views

Transpose a square matrix code

I know it's not programming area , but I think it's more related to math. I have the following function: ...
1
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1answer
46 views

represent a Toeplitz matrix in a array

I need to represent a $n \times n$ Toeplitz matrix in a $2n - 1$ array. I need to create a function that gets the $(i,j$) index of the matrix, and return the value in the $2n -1$ array. I having a ...
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0answers
98 views

Can a matrix based “secret sharing scheme” be applied to image based secret sharing?

I was reading this and was wondering if it can be used to do secret sharing with images. I dont know a lot about image processing, but if the authors have given a scheme for matrices, how can be ...
16
votes
3answers
993 views

Ratio of largest eigenvalue to sum of eigenvalues — where to read about it?

Let $E_j$ be the $j$th largest-magnitude eigenvalue of a real symmetric $N \times N$ matrix $M$. I've found that the ratio $$\frac{|E_1|}{\sum_{j=1}^N{|E_j|}},$$ is a measure of the "rank-one-ness" ...
1
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1answer
276 views

Find a price vector p for various prices of industries.

( Leontief input-output model ) Suppose that three industries are interrelated so that their outputs are used as inputs by themselves, according to the $3 \times 3$ consumption matrix A = ...