X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Fcone%2Fdoubly_nonnegative.py;h=a30a827d158f3b99d7d9df5d295096e7cc349e0f;hb=93cab80b7a220a16a906be8442ba795d8146df14;hp=583c3c60e8b46d43f9226e413eea70e83000d969;hpb=411f3b1863b7ee61b9e4fa651e14ef13a68e8349;p=sage.d.git diff --git a/mjo/cone/doubly_nonnegative.py b/mjo/cone/doubly_nonnegative.py index 583c3c6..a30a827 100644 --- a/mjo/cone/doubly_nonnegative.py +++ b/mjo/cone/doubly_nonnegative.py @@ -13,7 +13,9 @@ It is represented typically by either `\mathcal{D}^{n}` or from sage.all import * -from mjo.cone.symmetric_psd import factor_psd, is_symmetric_psd, random_psd +from mjo.cone.symmetric_psd import (factor_psd, + is_symmetric_psd, + random_symmetric_psd) from mjo.matrix_vector import isomorphism @@ -56,7 +58,7 @@ def is_doubly_nonnegative(A): raise ValueError.new(msg) # Check that all of the entries of ``A`` are nonnegative. - if not all([ a >= 0 for a in A.list() ]): + if not all( a >= 0 for a in A.list() ): return False # It's nonnegative, so all we need to do is check that it's @@ -369,8 +371,8 @@ def is_extreme_doubly_nonnegative(A): # whenever we come across an index pair `$(i,j)$` with # `$A_{ij} = 0$`. spanning_set = [] - for j in range(0, A.ncols()): - for i in range(0,j): + for j in xrange(A.ncols()): + for i in xrange(j): if A[i,j] == 0: M = A.matrix_space() S = X.transpose() * (stdE(M,i,j) + stdE(M,j,i)) * X @@ -458,10 +460,10 @@ def random_doubly_nonnegative(V, accept_zero=True, rank=None): # Generate random symmetric positive-semidefinite matrices until # one of them is nonnegative, then return that. - A = random_psd(V, accept_zero, rank) + A = random_symmetric_psd(V, accept_zero, rank) - while not all([ x >= 0 for x in A.list() ]): - A = random_psd(V, accept_zero, rank) + while not all( x >= 0 for x in A.list() ): + A = random_symmetric_psd(V, accept_zero, rank) return A