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

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Dahl G., Haufmann T. A.

Special Matrices

2016

tom 4

nr 1

296-304

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.

Ograniczanie wyników

1 Special Matrices

1 Dahl G.

1 Haufmann T. A.

1 2016

Wyniki wyszukiwania

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