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Keywords:
additive decomposition; rank constraint; zero pattern constraint; directed bipartite graph; $ß{L}$-free directed bipartite graph; permutation $ß{L}$-free directed bipartite graph; Bell number; Stirling partition number
additive decomposition; rank constraint; zero pattern constraint; directed bipartite graph; $ß{L}$-free directed bipartite graph; permutation $ß{L}$-free directed bipartite graph; Bell number; Stirling partition number
Summary:
This paper deals with additive decompositions $A=A_1+\cdots +A_p$ of a given matrix $A$, where the ranks of the summands $A_1,\ldots , A_p$ are prescribed and meet certain zero pattern requirements. The latter are formulated in terms of directed bipartite graphs.
References:
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