Matrix: Freescale/FullChip

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

Freescale/FullChip graph Freescale/FullChip graph
(bipartite graph drawing) (graph drawing of A+A')

Freescale/FullChip dmperm of Freescale/FullChip
scc of Freescale/FullChip

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  • Matrix group: Freescale
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  • download as a MATLAB mat-file, file size: 81 MB. Use UFget(2380) or UFget('Freescale/FullChip') in MATLAB.
  • download in Matrix Market format, file size: 123 MB.
  • download in Rutherford/Boeing format, file size: 76 MB.

    Matrix properties
    number of rows2,987,012
    number of columns2,987,012
    structural full rank?yes
    structural rank2,987,012
    # of blocks from dmperm35
    # strongly connected comp.35
    explicit zero entries7
    nonzero pattern symmetry 100%
    numeric value symmetry 1%
    Cholesky candidate?no
    positive definite?no

    authorK. Gullapalli
    editorT. Davis
    kindcircuit simulation problem
    2D/3D problem?no


    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 AMD231,950,650
    Cholesky flop count1.0e+12
    nnz(L+U), no partial pivoting, with AMD460,914,288
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1925080767262
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD4412417792620

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

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.