Geodesic
The nonnegative $P_0$-matrix completion problem
The electronic journal of linear algebra, Tome 10 (2003), pp. 46-59.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper the nonnegative P0-matrix completion problem is considered. It is shown that a pattern for 4 * 4 matrices that includes all diagonal positions has nonnegative P0- completion if and only if its digraph is complete when it has a 4-cycle. It is also shown that any positionally symmetric pattern that includes all diagonal positions and whose graph is an n-cycle has nonnegative P0-completion if and only if n 6= 4.
Classification : 15A48
Keywords: matrix completion, P0-matrix, nonnegative P0-matrix, L-digraph, n-cycle 
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     author = {Choi, Ji Young and Dealba, Luz Maria and Hogben, Leslie and Kivunge, Benard M. and Nordstrom, Sandra K. and Shedenhelm, Mike},
     title = {The nonnegative $P_0$-matrix completion problem},
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     pages = {46--59},
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     volume = {10},
     year = {2003},
     language = {en},
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Choi, Ji Young; Dealba, Luz Maria; Hogben, Leslie; Kivunge, Benard M.; Nordstrom, Sandra K.; Shedenhelm, Mike. The nonnegative $P_0$-matrix completion problem. The electronic journal of linear algebra, Tome 10 (2003), pp. 46-59. http://geodesic.mathdoc.fr/item/ELA_2003__10__a21/