• SJSU Singular Matrix Database
• Matrix group: HB

• Matrix: HB/cegb3024
• Description: FINITE ELEMENT PROBLEM. 2-DIMENSIONAL REACTOR CORE SECTION
• download as a MATLAB mat-file, file size: 58 KB. Use SJget(84) or SJget('HB/cegb3024') 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 3,024 number of columns 3,024 structural full rank? no structural rank 2,996 numerical rank 1,411 dimension of the numerical null space 1,613 numerical rank / min(size(A)) 0.4666 Euclidean norm of A 31.676 calculated singular value # 1411 0.0029798 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.0743e-011 calculated singular value # 1412 4.8485e-014 gap in the singular values at the numerical rank: singular value # 1411 / singular value # 1412 6.1459e+010 calculated condition number 7.328e+224 condest Inf nonzeros 79,848 # of blocks from dmperm 3 # strongly connected comp. 29 explicit zero entries 0 nonzero pattern symmetry symmetric numeric value symmetry symmetric type binary structure symmetric Cholesky candidate? yes positive definite? no

 author A. Donovan editor I. Duff, R. Grimes, J. Lewis date 1980 kind structural problem 2D/3D problem? yes SJid 84 UFid 1,175

 Ordering statistics: AMD METIS nnz(chol(P*(A+A'+s*I)*P')) 115,242 124,362 Cholesky flop count 5.7e+006 6.8e+006 nnz(L+U), no partial pivoting 227,460 245,700 nnz(V) for QR, upper bound nnz(L) for LU 167,244 187,160 nnz(R) for QR, upper bound nnz(U) for LU 431,610 440,974

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.