• SJSU Singular Matrix Database
  • Matrix group: Chen
  • Click here for a description of the Chen group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Chen/pkustk03
  • Description: PKU SYMMETRIC STIFFNESS, SILOS IN WAREHOUSE
  • download as a MATLAB mat-file, file size: 1 MB. Use SJget(511) or SJget('Chen/pkustk03') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 1020 KB.

    Chen/pkustk03

    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 9475 to 9480 and associated error bounds.

    Chen/pkustk03

    Matrix properties (click for a legend)  
    number of rows63,336
    number of columns63,336
    structural full rank?yes
    structural rank63,336
    numerical rank 9,477
    dimension of the numerical null space53,859
    numerical rank / min(size(A))0.14963
    Euclidean norm of A 56.64
    calculated singular value # 94770.0026354
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.5003e-010
    calculated singular value # 94783.5095e-013
    gap in the singular values at the numerical rank:
    singular value # 9477 / singular value # 9478
    7.5093e+009
    calculated condition number-2
    condestInf
    nonzeros3,130,416
    # 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

    authorP. Chen
    editorT. Davis
    date2002
    kindstructural problem
    2D/3D problem?yes
    SJid511
    UFid849

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))8,671,128 8,204,172
    Cholesky flop count2.9e+009 2.0e+009
    nnz(L+U), no partial pivoting17,278,920 16,345,008
    nnz(V) for QR, upper bound nnz(L) for LU25,040,040 13,863,048
    nnz(R) for QR, upper bound nnz(U) for LU50,645,472 26,289,888

    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.