• SJSU Singular Matrix Database
• Matrix group: Hollinger

• Matrix: Hollinger/mark3jac020sc
• Description: Jacobian from MULTIMOD Mark3, oldstack 020 (scaled)
• download as a MATLAB mat-file, file size: 460 KB. Use SJget(430) or SJget('Hollinger/mark3jac020sc') 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 9,129 number of columns 9,129 structural full rank? yes structural rank 9,129 numerical rank 9,102 dimension of the numerical null space 27 numerical rank / min(size(A)) 0.99704 Euclidean norm of A 2.3447e+006 calculated singular value # 9102 4.5798e-006 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 4.251e-006 calculated singular value # 9103 3.8112e-006 gap in the singular values at the numerical rank: singular value # 9102 / singular value # 9103 1.2017 calculated condition number 8.3975e+013 condest 7.498e+013 nonzeros 52,883 # of blocks from dmperm 321 # strongly connected comp. 321 entries not in dmperm blocks 2,040 explicit zero entries 3,292 nonzero pattern symmetry 7% numeric value symmetry 1% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author P. Hollinger editor T. Davis date 2001 kind economic problem 2D/3D problem? no SJid 430 UFid 581

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 1,112,297 824,304 809,951 Cholesky flop count 5.9e+008 2.5e+008 2.4e+008 nnz(L+U), no partial pivoting 2,215,465 1,639,479 1,612,813 nnz(V) for QR, upper bound nnz(L) for LU 1,087,755 906,003 844,684 nnz(R) for QR, upper bound nnz(U) for LU 1,927,280 1,787,574 1,676,896

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3292 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.