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I need this for experimentation in some work, so it is not without purpose. Consider the in-spiraling and out-spiraling $4\times 4$ matrices $$\begin{pmatrix} 1&2&3&4 \\ 12&13&14&...

Let $\mathbf{A}=[a_{ij}]$ be a matrix of real numbers $a_{ij}>0$ for all $i\in\{1,\ldots,k\}$ and $j\in\{1,\ldots,n\}$ and let $v$ be a nonnegative real number. The coefficient of the matrix are ...

Suppose we have two $n$ by $n$ matrices over particular ring. We want to multiply them as fast as possible. According to wikipedia there is an algorithm of Coppersmith and Winograd that can do it in $...