This paper deals with additive decompositions A = A1 + … + Ap of a given matrix A, where the ranks of the summands A1, …, Ap are prescribed and meet certain zero pattern requirements. The latter are formulated in terms of directed bipartite graphs.
机构:
Univ Calif Santa Cruz, Math Dept, 1156 High St, Santa Cruz, CA 95064 USAErasmus Univ, Econometr Inst, Burgemeester Oudlaan 50,POB 1738, NL-3000 DR Rotterdam, Netherlands
机构:
Univ Luxembourg, Ctr Res Econ & Management, L-1511 Luxembourg, LuxembourgUniv Luxembourg, Ctr Res Econ & Management, L-1511 Luxembourg, Luxembourg
Dupuy, Arnaud
Galichon, Alfred
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机构:
NYU, Dept Econ, New York, NY 10012 USA
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USAUniv Luxembourg, Ctr Res Econ & Management, L-1511 Luxembourg, Luxembourg