Matrix: Schenk_IBMNA/c-39

Description: IBM TJ Watson, non-linear optimization

Schenk_IBMNA/c-39 graph
(undirected graph drawing)


Schenk_IBMNA/c-39

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  • Matrix group: Schenk_IBMNA
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  • download as a MATLAB mat-file, file size: 498 KB. Use UFget(1558) or UFget('Schenk_IBMNA/c-39') in MATLAB.
  • download in Matrix Market format, file size: 457 KB.
  • download in Rutherford/Boeing format, file size: 374 KB.

    Matrix properties
    number of rows9,271
    number of columns9,271
    nonzeros116,587
    structural full rank?yes
    structural rank9,271
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries20,224
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorIBM
    editorO. Schenk
    date2006
    kindoptimization problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 9271-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD177,647
    Cholesky flop count2.2e+07
    nnz(L+U), no partial pivoting, with AMD346,023
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,654,846
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD2,910,586

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 20224 explicit zero entries.

    SVD-based statistics:
    norm(A)252567
    min(svd(A))0.000728339
    cond(A)3.46771e+08
    rank(A)9,271
    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

    Schenk_IBMNA/c-39 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.