Matrix: TSOPF/TSOPF_RS_b162_c1

Description: transient optimal power flow, Reduced-Space. Guangchao Geng, Zhejiang Univ

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

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• Matrix group: TSOPF
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 Matrix properties number of rows 5,374 number of columns 5,374 nonzeros 205,399 structural full rank? yes structural rank 5,374 # of blocks from dmperm 126 # strongly connected comp. 126 explicit zero entries 0 nonzero pattern symmetry 3% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author G. Geng editor T. Davis date 2009 kind power network problem 2D/3D problem? no

 Additional fields size and type b sparse 5374-by-49

Notes:

```Transient stability-constrained optimal power flow (TSOPF) problems from
Guangchao Geng, Institute of Power System, College of Electrical Engineering,
Zhejiang University, Hangzhou, 310027, China.  (genggc AT gmail DOT com).
Matrices in the  Full-Space (FS) group are symmetric indefinite, and are best
solved with MA57.  Matrices in the the Reduced-Space (RS) group are best
solved with KLU, which for these matrices can be 10 times faster than UMFPACK
or SuperLU.
```

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 467,856 Cholesky flop count 4.5e+07 nnz(L+U), no partial pivoting, with AMD 930,338 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 71,180 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 492,320

 SVD-based statistics: norm(A) 2365.05 min(svd(A)) 2.75184e-05 cond(A) 8.59445e+07 rank(A) 5,374 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.