Matrix: GHS_indef/cvxqp3

Description: MATRIX CVXQP_L FROM STEVE WRIGHT ... MA27 SLOW

GHS_indef/cvxqp3 graph
(undirected graph drawing)


GHS_indef/cvxqp3

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  • Matrix group: GHS_indef
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  • download as a MATLAB mat-file, file size: 452 KB. Use UFget(1426) or UFget('GHS_indef/cvxqp3') in MATLAB.
  • download in Matrix Market format, file size: 322 KB.
  • download in Rutherford/Boeing format, file size: 341 KB.

    Matrix properties
    number of rows17,500
    number of columns17,500
    nonzeros114,962
    structural full rank?yes
    structural rank17,500
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries7,500
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorN. Gould
    editorN. Gould
    date1995
    kindoptimization problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD4,028,563
    Cholesky flop count5.0e+09
    nnz(L+U), no partial pivoting, with AMD8,039,626
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD12,079,298
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD29,214,061

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7500 explicit zero entries.

    SVD-based statistics:
    norm(A)96581.1
    min(svd(A))1.35625e-11
    cond(A)7.12119e+15
    rank(A)17,278
    sprank(A)-rank(A)222
    null space dimension222
    full numerical rank?no
    singular value gap1.02112

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

    GHS_indef/cvxqp3 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.