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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes
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Powers of orthogonal matrices is closed

The complex eigenvalues of a real matrix come in conjugate-complex pairs, with conjugate-complex pairs of eigenvectors. But the converse is true: If you associate to conjugate-complex pairs of eigenve …
Günter Rote's user avatar
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2 votes
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Find edge weights that fit given node weights

You can solve it by using maximum network flow: First you duplicate every vertex $i$, creating a twin $i'$, which inherits the same degree $d_{i'}:= d_i$. Each edge $ij$ becomes two edges $i,j'$ and $ …
Günter Rote's user avatar
  • 1,083