• SJSU Singular Matrix Database
• Matrix group: HB

• Matrix: HB/can_715
• Description: SYMMETRIC PATTERN FROM CANNES,LUCIEN MARRO,JUNE 1981.
• download as a MATLAB mat-file, file size: 13 KB. Use SJget(81) or SJget('HB/can_715') in MATLAB.

Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

 Matrix properties (click for a legend) number of rows 715 number of columns 715 structural full rank? yes structural rank 715 numerical rank 702 dimension of the numerical null space 13 numerical rank / min(size(A)) 0.98182 Euclidean norm of A 15.31 calculated singular value # 702 0.002838 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.2701e-012 calculated singular value # 703 9.9226e-016 gap in the singular values at the numerical rank: singular value # 702 / singular value # 703 2.8602e+012 calculated condition number 2.3908e+018 condest Inf nonzeros 6,665 # of blocks from dmperm 1 # strongly connected comp. 1 entries not in dmperm blocks 0 explicit zero entries 0 nonzero pattern symmetry symmetric numeric value symmetry symmetric type binary structure symmetric Cholesky candidate? yes positive definite? no

 author L. Marro editor I. Duff, R. Grimes, J. Lewis date 1981 kind structural problem 2D/3D problem? yes SJid 81 UFid 105

 Ordering statistics: AMD METIS nnz(chol(P*(A+A'+s*I)*P')) 11,440 13,192 Cholesky flop count 2.6e+005 3.7e+005 nnz(L+U), no partial pivoting 22,165 25,669 nnz(V) for QR, upper bound nnz(L) for LU 24,357 24,673 nnz(R) for QR, upper bound nnz(U) for LU 49,955 46,149

Maintained by Leslie Foster, last updated 24-Apr-2009.

Entries 5 through 14 in the table of matrix properties and the singular
value plot were created using SJsingular code. The other plots
and statistics are produced using utilities from the SuiteSparse package.
Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.