Power system state simulation matrix, Yunzhi Cheng, UT Arlington
Name psse1
Group YCheng
Matrix ID 1871
Num Rows 14,318
Num Cols 11,028
Nonzeros 57,376
Pattern Entries 57,376
Kind Power Network Problem
Symmetric No
Date 2007
Author Y. Cheng
Editor T. Davis
Structural Rank 11,028
Structural Rank Full true
Num Dmperm Blocks 1,722
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 0%
Numeric Symmetry 0%
Cholesky Candidate no
Positive Definite no
Type real
SVD Statistics
Matrix Norm 2.001254e+05
Minimum Singular Value 1.779262e-01
Condition Number 1.124767e+06
Rank 11,028
sprank(A)-rank(A) 0
Null Space Dimension 0
Full Numerical Rank? yes
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Power system state simulation matrix from Yunzhi Cheng, UT Arlington.
In MATLAB, the solution to x=A\b is desired, but this can be slow in 
MATLAB 7.3 because of the speed of sparse QR as compared to sparse   
Cholesky.  Using x=(A'*A)\(A'*b) is faster, but of course yields     
slightly less accurate (but still acceptable) results.  Note that an 
initial guess to the solution is provided, for use by an iterative   
method.  However, sparse Cholesky with an AMD ordering is very fast  
for this matrix and thus iterative methods are unlikely to be        
competitive.  In MATLAB 7.3 on a 3.2 Ghz Pentium 4 desktop,          
x=(A'*A)\(A'*b) takes 0.05 seconds.