Gould,Higham,Scott: matrix from Andy Wathen, Oxford Univ.
Name wathen120
Group GHS_psdef
Matrix ID 1289
Num Rows 36,441
Num Cols 36,441
Nonzeros 565,761
Pattern Entries 565,761
Kind Random 2D/3D Problem
Symmetric Yes
Date 2004
Author A. Wathen
Editor N. Gould, Y. Hu, J. Scott
Structural Rank 36,441
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate yes
Positive Definite yes
Type real
SVD Statistics
Matrix Norm 3.693742e+02
Minimum Singular Value 1.433371e-01
Condition Number 2.576962e+03
Rank 36,441
sprank(A)-rank(A) 0
Null Space Dimension 0
Full Numerical Rank? yes
Download Singular Values MATLAB
Download MATLAB Rutherford Boeing Matrix Market
A = gallery('wathen',100,120) ; % (in MATLAB)                   
To initialize the MATLAB random number generator to replicate   
this matrix, first do the following:                            
rand('state',0); A = gallery('wathen',100,100)                  
and then generate this matrix using the 100,120 arguments above.