Matrix: GHS_indef/c-55

Description: Schenk: IBM TJ Watson, Yorktown, nonlinear optimization

GHS_indef/c-55 graph
(undirected graph drawing)


GHS_indef/c-55

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: GHS_indef
  • Click here for a description of the GHS_indef group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1220) or UFget('GHS_indef/c-55') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Matrix properties
    number of rows32,780
    number of columns32,780
    nonzeros403,450
    structural full rank?yes
    structural rank32,780
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2004
    kindoptimization problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 32780-by-1

    Notes:

    Revised Nov 2006; relative eps changes to A, right-hand-side added.
    Note that this matrix should have been placed in the Schenk_IBMNA/ 
    directory when it was first added in August 2004, but moving it now
    would disrupt exising users of the collection.                     
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,586,486
    Cholesky flop count5.4e+09
    nnz(L+U), no partial pivoting, with AMD9,140,192
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD64,521,135
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD84,856,169

    SVD-based statistics:
    norm(A)94044.7
    min(svd(A))0.000198225
    cond(A)4.74433e+08
    rank(A)32,780
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))
    status:ok

    GHS_indef/c-55 svd

    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.