• SJSU Singular Matrix Database
• Matrix group: Mallya

• Matrix: Mallya/lhr04c
• Description: Light hydrocarbon recovery, corrected version of LHR04
• download as a MATLAB mat-file, file size: 657 KB. Use SJget(349) or SJget('Mallya/lhr04c') 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 4,101 number of columns 4,101 structural full rank? yes structural rank 4,101 numerical rank 4,100 dimension of the numerical null space 1 numerical rank / min(size(A)) 0.99976 Euclidean norm of A 13.415 calculated singular value # 4100 7.4515e-010 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 7.2848e-012 calculated singular value # 4101 3.5266e-012 gap in the singular values at the numerical rank: singular value # 4100 / singular value # 4101 211.3 calculated condition number 3.8039e+012 condest 1.4405e+013 nonzeros 82,682 # of blocks from dmperm 439 # strongly connected comp. 31 entries not in dmperm blocks 5,319 explicit zero entries 0 nonzero pattern symmetry 2% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author J. Mallya editor T. Davis date 1997 kind chemical process simulation problem 2D/3D problem? no SJid 349 UFid 737

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 1,839,299 1,403,708 207,938 Cholesky flop count 2.0e+009 9.3e+008 1.8e+007 nnz(L+U), no partial pivoting 3,674,497 2,803,315 417,094 nnz(V) for QR, upper bound nnz(L) for LU 151,956 200,425 131,814 nnz(R) for QR, upper bound nnz(U) for LU 331,364 436,377 283,431

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.