complex matrix from aero research, David Young, corrected CUA version
Name young4c
Group HB
Matrix ID 281
Num Rows 841
Num Cols 841
Nonzeros 4,089
Pattern Entries 4,089
Kind Acoustics Problem
Symmetric No
Date 1984
Author D. Young
Editor I. Duff, R. Grimes, J. Lewis
Structural Rank 841
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 80%
Cholesky Candidate no
Positive Definite no
Type complex
SVD Statistics
Matrix Norm 4.593216e+02
Minimum Singular Value 1.936784e-01
Condition Number 2.371569e+03
Rank 841
sprank(A)-rank(A) 0
Null Space Dimension 0
Full Numerical Rank? yes
Download Singular Values MATLAB
Download MATLAB Rutherford Boeing Matrix Market
The YOUNG*C matrices originally appeared in the Harwell/Boeing     
collection as type CSA (complex symmetric).  However, both upper   
and lower triangular parts are present in the original files       
(an invalid specification; only the lower part can be present      
in the file).  If the entries in the upper triangular part are     
considered as part of the matrix, the matrices become unsymmetric. 
The matrices have been corrected in the UF Sparse Matrix Collection
by changing their type to CUA so that the entries in the original  
files are not ignored.  In addition, the YOUNG3C matrix has a zero 
imaginary part, and thus appears here as a real matrix.