Matrix: VanVelzen/Zd_Jac2

Description: Chemical process simulation, Nils van Velzen (complete problem)

 (bipartite graph drawing) (graph drawing of A+A')

• Matrix group: VanVelzen
• download as a MATLAB mat-file, file size: 11 MB. Use UFget(1338) or UFget('VanVelzen/Zd_Jac2') in MATLAB.

 Matrix properties number of rows 22,835 number of columns 22,835 nonzeros 1,642,407 structural full rank? yes structural rank 22,835 # of blocks from dmperm 9,833 # strongly connected comp. 1 explicit zero entries 426 nonzero pattern symmetry 0% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author N. van Velzen editor T. Davis date 2006 kind chemical process simulation problem 2D/3D problem? no

 Additional fields size and type b full 22835-by-1

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 53,561,008 Cholesky flop count 3.4e+11 nnz(L+U), no partial pivoting, with AMD 107,099,181 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 6,207,057 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 20,002,937

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 426 explicit zero entries.

 SVD-based statistics: norm(A) 4.4571e+11 min(svd(A)) 2.28194e-13 cond(A) 1.95321e+24 rank(A) 13,371 sprank(A)-rank(A) 9,464 null space dimension 9,464 full numerical rank? no singular value gap 1.00141

 singular values (MAT file): click here SVD method used: s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero status: ok

Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.