• SJSU Singular Matrix Database
• Matrix group: Zitney

• Matrix: Zitney/extr1
• Description: Chemical process separation, Steve Zitney, Cray Research
• download as a MATLAB mat-file, file size: 81 KB. Use SJget(309) or SJget('Zitney/extr1') 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 2,837 number of columns 2,837 structural full rank? yes structural rank 2,837 numerical rank 2,836 dimension of the numerical null space 1 numerical rank / min(size(A)) 0.99965 Euclidean norm of A 7.413e+005 calculated singular value # 2836 5.9906e-007 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 3.3027e-007 calculated singular value # 2837 2.197e-007 gap in the singular values at the numerical rank: singular value # 2836 / singular value # 2837 2.7267 calculated condition number 3.3741e+012 condest 5.8547e+012 nonzeros 10,967 # of blocks from dmperm 880 # strongly connected comp. 1 entries not in dmperm blocks 1,694 explicit zero entries 440 nonzero pattern symmetry 0% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author S. Zitney editor T. Davis date 1997 kind chemical process simulation problem 2D/3D problem? no SJid 309 UFid 836

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 543,640 442,143 20,482 Cholesky flop count 3.1e+008 1.7e+008 2.7e+005 nnz(L+U), no partial pivoting 1,084,443 881,449 39,821 nnz(V) for QR, upper bound nnz(L) for LU 12,021 17,805 12,138 nnz(R) for QR, upper bound nnz(U) for LU 29,893 37,383 28,695

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 440 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.