Matrix: Freescale/FullChip

Description: circuit simulation, Kiran Gullapalli, Freescale Semiconductor, Inc.

 (bipartite graph drawing) (graph drawing of A+A')

• Matrix group: Freescale
• download as a MATLAB mat-file, file size: 81 MB. Use UFget(2380) or UFget('Freescale/FullChip') in MATLAB.

 Matrix properties number of rows 2,987,012 number of columns 2,987,012 nonzeros 26,621,983 structural full rank? yes structural rank 2,987,012 # of blocks from dmperm 35 # strongly connected comp. 35 explicit zero entries 7 nonzero pattern symmetry 100% numeric value symmetry 1% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author K. Gullapalli editor T. Davis date 2011 kind circuit simulation problem 2D/3D problem? no

Notes:

```Full-chip circuit simulation matrix from Kiran Gullapalli, Freescale
Semiconductor, Inc.

This is a full-chip (everything that is actually built in silicon is
in the netlist), for an automotive part.  For simulation, the
flash-memory and sram-memory cores are removed. But everything else is
in the matrix.

The chip takes an external battery (voltage source), but has internal
voltage generators. the node of the external battery can be removed
from the matrix. but the internal generators create some VERY HIGH
degree nodes. So, there are about 6 nodes with degree greater than
1000 (actually, the degree is 2M+ for 2 of these).

After ordering, nnz(L+U) = 200,180,468, with about 1.03793E+11
flops (a += b * c is counted as one flop).
```

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 231,950,650 Cholesky flop count 1.0e+12 nnz(L+U), no partial pivoting, with AMD 460,914,288 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 1925080767262 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 4412417792620

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7 explicit zero entries.