Matrix: Bomhof/circuit_1

Description: Circuit DAE with BDF method & Newton. W. Bomhof, Univ. Utrecht

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

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• download as a MATLAB mat-file, file size: 190 KB. Use UFget(370) or UFget('Bomhof/circuit_1') in MATLAB.
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 Matrix properties number of rows 2,624 number of columns 2,624 nonzeros 35,823 structural full rank? yes structural rank 2,624 # of blocks from dmperm 60 # strongly connected comp. 6 explicit zero entries 0 nonzero pattern symmetry 100% numeric value symmetry 21% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author W. Bomhof editor T. Davis date 2000 kind circuit simulation problem 2D/3D problem? no

 Additional fields size and type b full 2624-by-1 x full 2624-by-1

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 22,513 Cholesky flop count 4.1e+05 nnz(L+U), no partial pivoting, with AMD 42,402 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 612,677 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 3,360,668

 SVD-based statistics: norm(A) 3.15896 min(svd(A)) 1.61851e-05 cond(A) 195177 rank(A) 2,624 sprank(A)-rank(A) 0 null space dimension 0 full numerical rank? yes

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

For a description of the statistics displayed above, click here.

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.