Holomorphic Relative Inverses of Operator Valued Functions.
Characterizations of Almost Periodic Strongly Continuous Groupsand Semigroups.
Additive decomposition of matrices under rank conditions and zero pattern constraints
This paper deals with additive decompositions of a given matrix , where the ranks of the summands are prescribed and meet certain zero pattern requirements. The latter are formulated in terms of directed bipartite graphs.
Rank decomposition in zero pattern matrix algebras
For a block upper triangular matrix, a necessary and sufficient condition has been given to let it be the sum of block upper rectangular matrices satisfying certain rank constraints; see H. Bart, A. P. M. Wagelmans (2000). The proof involves elements from integer programming and employs Farkas' lemma. The algebra of block upper triangular matrices can be viewed as a matrix algebra determined by a pattern of zeros. The present note is concerned with the question whether the decomposition result referred...
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