YCheng/psse1
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 
1.779262e01 
Condition Number 
1.124767e+06

Rank 
11,028 
sprank(A)rank(A) 
0 
Null Space Dimension 
0 
Full Numerical Rank? 
yes 
Download Singular Values 
MATLAB

Download 
MATLAB
Rutherford Boeing
Matrix Market

Notes 
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.
