Matrix: GHS_indef/ncvxqp9

Description: Gould, Hu, & Scott: KKT matrix - nonconvex QP (CUTEr)

GHS_indef/ncvxqp9 graph
(undirected graph drawing)

GHS_indef/ncvxqp9 dmperm of GHS_indef/ncvxqp9
scc of GHS_indef/ncvxqp9

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  • Matrix group: GHS_indef
  • Click here for a description of the GHS_indef group.
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  • download as a MATLAB mat-file, file size: 208 KB. Use UFget(1243) or UFget('GHS_indef/ncvxqp9') in MATLAB.
  • download in Matrix Market format, file size: 201 KB.
  • download in Rutherford/Boeing format, file size: 199 KB.

    Matrix properties
    number of rows16,554
    number of columns16,554
    structural full rank?yes
    structural rank16,554
    # of blocks from dmperm555
    # strongly connected comp.555
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD142,666
    Cholesky flop count1.0e+07
    nnz(L+U), no partial pivoting, with AMD268,778
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD360,371
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD680,921

    SVD-based statistics:
    null space dimension1,937
    full numerical rank?no
    singular value gap1.00169

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

    GHS_indef/ncvxqp9 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.