• SJSU Singular Matrix Database
• Matrix group: Grund

• Matrix: Grund/bayer07
• Description: Unsymmetric Matrix bayer07, Bayer AG, F. Grund, Oct 1995.
• download as a MATLAB mat-file, file size: 85 KB. Use SJget(56) or SJget('Grund/bayer07') 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 3,268 number of columns 3,268 structural full rank? yes structural rank 3,268 numerical rank 1,666 dimension of the numerical null space 1,602 numerical rank / min(size(A)) 0.50979 Euclidean norm of A 2.4972e+012 calculated singular value # 1666 1.5976 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.5957 calculated singular value # 1667 1.58 gap in the singular values at the numerical rank: singular value # 1666 / singular value # 1667 1.0111 calculated condition number 8.0597e+026 condest 1.2686e+027 nonzeros 20,963 # of blocks from dmperm 3,037 # strongly connected comp. 1 entries not in dmperm blocks 16,718 explicit zero entries 6,873 nonzero pattern symmetry 1% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author Bayer editor F. Grund date 1997 kind chemical process simulation problem 2D/3D problem? no SJid 56 UFid 458

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 614,071 493,827 4,552 Cholesky flop count 3.9e+008 1.8e+008 1.4e+004 nnz(L+U), no partial pivoting 1,224,874 984,386 22,554 nnz(V) for QR, upper bound nnz(L) for LU 101,534 101,126 6,666 nnz(R) for QR, upper bound nnz(U) for LU 196,682 214,680 25,364

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6873 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.