• SJSU Singular Matrix Database
• Matrix group: HB

• Matrix: HB/bcsstm03
• Description: SYMMETRIC MASS MATRIX, SMALL TEST STRUCTURE
• download as a MATLAB mat-file, file size: 1 KB. Use SJget(67) or SJget('HB/bcsstm03') 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 112 number of columns 112 structural full rank? no structural rank 72 numerical rank 72 dimension of the numerical null space 40 numerical rank / min(size(A)) 0.64286 Euclidean norm of A 5403.5 calculated singular value # 72 0.10345 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.0186e-010 calculated singular value # 73 0 gap in the singular values at the numerical rank: singular value # 72 / singular value # 73 Inf calculated condition number Inf condest Inf nonzeros 72 # of blocks from dmperm 74 # strongly connected comp. 112 explicit zero entries 40 nonzero pattern symmetry symmetric numeric value symmetry symmetric type real structure symmetric Cholesky candidate? yes positive definite? no

 author J. Lewis editor I. Duff, R. Grimes, J. Lewis date 1982 kind structural problem 2D/3D problem? yes SJid 67 UFid 58

 Ordering statistics: AMD METIS nnz(chol(P*(A+A'+s*I)*P')) 112 112 Cholesky flop count 1.1e+002 1.1e+002 nnz(L+U), no partial pivoting 112 112 nnz(V) for QR, upper bound nnz(L) for LU 112 112 nnz(R) for QR, upper bound nnz(U) for LU 112 112

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 40 explicit zero entries.

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.