740
740
ToeplitzMatrix ([1,2,3],[8,4,5,6]) [1,4,5,6;2,1,4,5;3,2,1,4]
741
741
CommutationMatrix (2,2) [1,0,0,0;0,0,1,0;0,1,0,0;0,0,0,1]
742
742
CommutationMatrix (2,3) [1,0,0,0,0,0;0,0,1,0,0,0;0,0,0,0,1,0;0,1,0,0,0,0;0,0,0,1,0,0;0,0,0,0,0,1]
743
IsPositiveDefinite([0]) false
744
IsPositiveDefinite([-1]) false
745
IsPositiveDefinite(I(5)) true
746
IsPositiveDefinite([1,1;1,1]) false
747
IsPositiveDefinite([1,2;3,4]) false
748
M=I(5)+randint(5,5,5)/100;IsPositiveDefinite(M+M') true
749
IsPositiveSemidefinite([0]) true
750
IsPositiveSemidefinite([-1]) false
751
IsPositiveSemidefinite(I(5)) true
752
IsPositiveSemidefinite([1,1;1,1]) true
753
IsPositiveSemidefinite([1,2;3,4]) false
754
Eigenvalues([0,1,0;3,0,4;0,3,3]) [-3;5.44948974278;0.550510257217]
755
Eigenvalues(I(3)) [1;1;1]
756
M=I(5)+randint(5,5,5)/100;IsPositiveSemidefinite(M+M') true
743
757
load "longtest.gel" true