Matrix: Hollinger/mark3jac080sc

Description: Jacobian from MULTIMOD Mark3, oldstack 080 (scaled)

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

• Matrix group: Hollinger
• download as a MATLAB mat-file, file size: 2 MB. Use UFget(587) or UFget('Hollinger/mark3jac080sc') in MATLAB.

 Matrix properties number of rows 36,609 number of columns 36,609 nonzeros 214,643 structural full rank? yes structural rank 36,609 # of blocks from dmperm 1,281 # strongly connected comp. 1,281 explicit zero entries 13,312 nonzero pattern symmetry 7% numeric value symmetry 1% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author P. Hollinger editor T. Davis date 2001 kind economic problem 2D/3D problem? no

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 7,577,614 Cholesky flop count 6.8e+09 nnz(L+U), no partial pivoting, with AMD 15,118,619 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 12,194,688 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 21,146,676

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 13312 explicit zero entries.

 SVD-based statistics: norm(A) 2.34469e+06 min(svd(A)) 4.1623e-08 cond(A) 5.63315e+13 rank(A) 36,451 sprank(A)-rank(A) 158 null space dimension 158 full numerical rank? no singular value gap 5.96981

 singular values (MAT file): click here SVD method used: s = svd (full (A)) 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.