EXAMPLES:
For dimension 5, only ranks zero, one, and three are admissible::
EXAMPLES:
For dimension 5, only ranks zero, one, and three are admissible::
26 (1996), no. 4, 1371--1383. doi:10.1216/rmjm/1181071993.
http://projecteuclid.org/euclid.rmjm/1181071993.
26 (1996), no. 4, 1371--1383. doi:10.1216/rmjm/1181071993.
http://projecteuclid.org/euclid.rmjm/1181071993.
A basis element of ``matrix_space``. It has a single \"1\" in the
``i``,``j`` row,column and zeros elsewhere.
A basis element of ``matrix_space``. It has a single \"1\" in the
``i``,``j`` row,column and zeros elsewhere.
# would be computed as offset 3 into a four-element list and we
# would succeed incorrectly.
idx = matrix_space.ncols()*i + j
# would be computed as offset 3 into a four-element list and we
# would succeed incorrectly.
idx = matrix_space.ncols()*i + j
2. Berman, Abraham and Shaked-Monderer, Naomi. Completely Positive
Matrices. World Scientific, 2003.
2. Berman, Abraham and Shaked-Monderer, Naomi. Completely Positive
Matrices. World Scientific, 2003.
- S = X.transpose() * (E(M,i,j) + E(M,j,i)) * X
+ S = X.transpose() * (stdE(M,i,j) + stdE(M,j,i)) * X
A random extreme doubly nonnegative matrix, i.e. a linear
transformation from ``V`` to itself.
A random extreme doubly nonnegative matrix, i.e. a linear
transformation from ``V`` to itself.