• SJSU Singular Matrix Database
• Matrix group: FIDAP

• Matrix: FIDAP/ex18
• Description: TEST MATRIX FROM FIDAP: EX18.MAT
• download as a MATLAB mat-file, file size: 411 KB. Use SJget(352) or SJget('FIDAP/ex18') 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 5,773 number of columns 5,773 structural full rank? yes structural rank 5,773 numerical rank 5,772 dimension of the numerical null space 1 numerical rank / min(size(A)) 0.99983 Euclidean norm of A 1.2921e+008 calculated singular value # 5772 0.00011758 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 8.6024e-005 calculated singular value # 5773 6.1975e-005 gap in the singular values at the numerical rank: singular value # 5772 / singular value # 5773 1.8973 calculated condition number 2.0849e+012 condest 8.7676e+012 nonzeros 71,701 # of blocks from dmperm 212 # strongly connected comp. 212 entries not in dmperm blocks 104 explicit zero entries 104 nonzero pattern symmetry symmetric numeric value symmetry 50% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author A. Baggag, Y. Saad editor A. Baggag, Y. Saad date 1994 kind computational fluid dynamics problem 2D/3D problem? yes SJid 352 UFid 414

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 175,848 180,904 176,522 Cholesky flop count 9.3e+006 9.2e+006 9.3e+006 nnz(L+U), no partial pivoting 345,923 356,035 347,375 nnz(V) for QR, upper bound nnz(L) for LU 239,089 249,147 246,292 nnz(R) for QR, upper bound nnz(U) for LU 457,850 468,931 446,050

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 104 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.