• SJSU Singular Matrix Database
  • Matrix group: Andrianov
  • Click here for a description of the Andrianov group.
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  • Matrix: Andrianov/fxm3_6
  • Description: fxm3_6 matrix from Alexander Andrianov, SAS Institute Inc.
  • download as a MATLAB mat-file, file size: 82 KB. Use SJget(338) or SJget('Andrianov/fxm3_6') in MATLAB.
  • download in Matrix Market format, file size: 115 KB.
  • download in Rutherford/Boeing format, file size: 54 KB.

    Andrianov/fxm3_6

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Andrianov/fxm3_6

    Matrix properties (click for a legend)  
    number of rows5,026
    number of columns5,026
    structural full rank?yes
    structural rank5,026
    numerical rank 4,087
    dimension of the numerical null space939
    numerical rank / min(size(A))0.81317
    Euclidean norm of A 51.546
    calculated singular value # 40870.01245
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.5712e-011
    calculated singular value # 40881.8662e-013
    gap in the singular values at the numerical rank:
    singular value # 4087 / singular value # 4088
    6.6712e+010
    calculated condition number2.1559e+065
    condestInf
    nonzeros94,026
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Andrianov
    editorT. Davis
    date2006
    kindoptimization problem
    2D/3D problem?no
    SJid338
    UFid1,380

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))74,666 86,011
    Cholesky flop count1.7e+006 2.6e+006
    nnz(L+U), no partial pivoting144,306 166,996
    nnz(V) for QR, upper bound nnz(L) for LU123,684 147,546
    nnz(R) for QR, upper bound nnz(U) for LU363,925 415,731

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.