• SJSU Singular Matrix Database
• Matrix group: NYPA

• Matrix: NYPA/Maragal_2
• Description: Rank deficient least squares problem, D. Maragal, NY Power Authority
• download as a MATLAB mat-file, file size: 24 KB. Use SJget(523) or SJget('NYPA/Maragal_2') in MATLAB.

Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.   Matrix properties (click for a legend) number of rows 555 number of columns 350 structural full rank? no structural rank 220 numerical rank 171 dimension of the numerical null space 179 numerical rank / min(size(A)) 0.48857 Euclidean norm of A 10.295 calculated singular value # 171 0.033323 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 9.8588e-013 calculated singular value # 172 3.3865e-015 gap in the singular values at the numerical rank: singular value # 171 / singular value # 172 9.8399e+012 calculated condition number 4.794e+047 condest -2 nonzeros 4,357 # of blocks from dmperm 13 # strongly connected comp. 110 explicit zero entries 0 nonzero pattern symmetry 0% numeric value symmetry 0% type real structure rectangular Cholesky candidate? no positive definite? no

 author D. Maragal editor T. Davis date 2008 kind least squares problem 2D/3D problem? no SJid 523 UFid 1,885

 Additional fields size and type b full 555-by-1

Notes:

```rank deficient (rank(A) < sprank(A) < size(A,2))
rank: 171 sprank: 220 columns: 350
```

 Ordering statistics: AMD METIS nnz(V) for QR, upper bound nnz(L) for LU 30,077 15,139 nnz(R) for QR, upper bound nnz(U) for LU 10,270 9,703

Maintained by Leslie Foster, last updated 24-Apr-2009.

Entries 5 through 14 in the table of matrix properties and the singular
value plot were created using SJsingular code. The other plots
and statistics are produced using utilities from the SuiteSparse package.
Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.