Matrix: Hollinger/jan99jac060

Description: Jacobian from Bank of Canada 'jan99' model, oldstack 060

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

• Matrix group: Hollinger
• download as a MATLAB mat-file, file size: 751 KB. Use UFget(572) or UFget('Hollinger/jan99jac060') in MATLAB.

 Matrix properties number of rows 20,614 number of columns 20,614 nonzeros 111,903 structural full rank? yes structural rank 20,614 # of blocks from dmperm 2,774 # strongly connected comp. 2,754 explicit zero entries 15,279 nonzero pattern symmetry 0% numeric value symmetry 0% 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

 Additional fields size and type b full 20614-by-1 x full 20614-by-1

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 978,309 Cholesky flop count 3.2e+08 nnz(L+U), no partial pivoting, with AMD 1,936,004 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 1,103,778 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 2,920,225

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 15279 explicit zero entries.

 SVD-based statistics: norm(A) 1.59112e+06 min(svd(A)) 1.20022e-08 cond(A) 1.32569e+14 rank(A) 19,484 sprank(A)-rank(A) 1,130 null space dimension 1,130 full numerical rank? no singular value gap 1.00449

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