• SJSU Singular Matrix Database
• Matrix group: Sandia

• Matrix: Sandia/oscil_dcop_24
• Description: Sandia/oscil_dcop_24 circuit simulation matrix. Sandia National Lab.
• download as a MATLAB mat-file, file size: 13 KB. Use SJget(173) or SJget('Sandia/oscil_dcop_24') 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 430 number of columns 430 structural full rank? yes structural rank 430 numerical rank 425 dimension of the numerical null space 5 numerical rank / min(size(A)) 0.98837 Euclidean norm of A 2.001e+006 calculated singular value # 425 1.2945e-007 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.0012e-007 calculated singular value # 426 2.7434e-008 gap in the singular values at the numerical rank: singular value # 425 / singular value # 426 4.7187 calculated condition number 8.5796e+019 condest 7.0533e+019 nonzeros 1,544 # of blocks from dmperm 31 # strongly connected comp. 9 entries not in dmperm blocks 62 explicit zero entries 0 nonzero pattern symmetry 98% numeric value symmetry 70% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author R. Hoekstra editor T. Davis date 2003 kind subsequent circuit simulation problem 2D/3D problem? no SJid 173 UFid 1,135

 Additional fields size and type b full 430-by-1

Notes:

```next: Sandia/oscil_dcop_25 first: Sandia/oscil_dcop_01
```

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 1,439 1,546 1,455 Cholesky flop count 5.2e+003 6.2e+003 5.6e+003 nnz(L+U), no partial pivoting 2,448 2,662 2,542 nnz(V) for QR, upper bound nnz(L) for LU 1,830 1,928 1,777 nnz(R) for QR, upper bound nnz(U) for LU 3,504 3,832 3,076

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.