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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access July 18, 2016

Zero-one completely positive matrices and the A(R, S) classes

  • G. Dahl and T. A. Haufmann
From the journal Special Matrices


A matrix of the form A = BBT where B is nonnegative is called completely positive (CP). Berman and Xu (2005) investigated a subclass of CP-matrices, called f0, 1g-completely positive matrices. We introduce a related concept and show connections between the two notions. An important relation to the so-called cut cone is established. Some results are shown for f0, 1g-completely positive matrices with given graphs, and for {0,1}-completely positive matrices constructed from the classes of (0, 1)-matrices with fixed row and column sums.


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Received: 2016-4-6
Accepted: 2016-5-23
Published Online: 2016-7-18

©2016 G. Dahl and T. A. Haufmann

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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