• UF Sparse Matrix Collection
  • Matrix group: Rothberg
  • Click here for a description of the Rothberg group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Rothberg/gearbox
  • Description: ZF aircraft flap actuator
  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(806) or UFget('Rothberg/gearbox') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Rothberg/gearbox

    dmperm of Rothberg/gearbox

    Rothberg/gearbox graph

    Matrix properties
    number of rows153,746
    number of columns153,746
    nonzeros9,080,404
    structural full rank?yes
    structural rank153,746
    # of blocks from dmperm6
    # strongly connected comp.6
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorE. Rothberg
    editorT. Davis
    date1997
    kindstructural problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))48,554,746 36,098,724 37,501,718
    Cholesky flop count4.7e+10 1.9e+10 2.2e+10
    nnz(L+U), no partial pivoting96,955,746 72,043,702 74,849,690
    nnz(V) for QR, upper bound nnz(L) for LU123,789,043 57,916,993 61,651,868
    nnz(R) for QR, upper bound nnz(U) for LU244,956,446 109,775,724 113,997,306

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.