Matrix properties
number of rows	43,887
number of columns	43,887
nonzeros	426,898
structural full rank?	yes
structural rank	43,887
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	40,813
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	no
positive definite?	no

author	L. Peijie
editor	J. Hogg
date	2011
kind	power network problem
2D/3D problem?	no

Additional fields	size and type
b	full 43887-by-1

Notes:

Three different kinds of optimization methods (OPF, TSCOPF, HTC)
applied to power system simulation.  All matrices are symmetric 
indefinite.  From Li Peijie, Institute of Power Systems,        
Guangxi University (beyondpeijie at gxu.edu.cn).  Collected by  
Jonathan Hogg, Rutherford Appleton Laboratory, Oxfordshire, UK. 

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	312,832
Cholesky flop count	2.8e+06
nnz(L+U), no partial pivoting, with AMD	581,777
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	533,666
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	1,165,631

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 40813 explicit zero entries.

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.