• SJSU Singular Matrix Database
• Matrix group: HB

• Matrix: HB/sstmodel
• Description: S CONNECTIVITY STRUCTURE OF EARLY BOEING 2707 SST AIRFRAME
• download as a MATLAB mat-file, file size: 48 KB. Use SJget(220) or SJget('HB/sstmodel') 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 3,345 number of columns 3,345 structural full rank? yes structural rank 3,345 numerical rank 3,326 dimension of the numerical null space 19 numerical rank / min(size(A)) 0.99432 Euclidean norm of A 12.125 calculated singular value # 3326 0.00083765 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 5.9419e-012 calculated singular value # 3327 7.4452e-016 gap in the singular values at the numerical rank: singular value # 3326 / singular value # 3327 1.1251e+012 calculated condition number Inf condest Inf nonzeros 22,749 # of blocks from dmperm 616 # strongly connected comp. 616 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 E. Meyer editor I. Duff, R. Grimes, J. Lewis date 1983 kind structural problem 2D/3D problem? yes SJid 220 UFid 250

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 36,728 45,302 36,728 Cholesky flop count 8.2e+005 1.4e+006 8.2e+005 nnz(L+U), no partial pivoting 70,111 87,259 70,111 nnz(V) for QR, upper bound nnz(L) for LU 54,040 69,753 54,219 nnz(R) for QR, upper bound nnz(U) for LU 103,310 132,315 102,561

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.