Decomposing Matrices into Blocks

@article{Borndrfer1998DecomposingMI,
  title={Decomposing Matrices into Blocks},
  author={Ralf Bornd{\"o}rfer and Carlos Eduardo Ferreira and Alexander Martin},
  journal={SIAM J. Optim.},
  year={1998},
  volume={9},
  pages={236-269}
}
In this paper we investigate whether matrices arising from linear or integer programming problems can be decomposed into so-called bordered block diagonal form. More precisely, given some matrix A, we try to assign as many rows as possible to some number $\beta$ of blocks of size $\kappa$ such that no two rows assigned to different blocks intersect in a common column. Bordered block diagonal form is desirable because it can guide and speed up the solution process for linear and integer… 

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