• SJSU Singular Matrix Database
  • Matrix group: Chen
  • Click here for a description of the Chen group.
  • Click here for a list of all matrices
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  • Matrix: Chen/pkustk02
  • Description: PKU SYMMETRIC STIFFNESS, FEIYUE BUILDING
  • download as a MATLAB mat-file, file size: 238 KB. Use SJget(451) or SJget('Chen/pkustk02') in MATLAB.
  • download in Matrix Market format, file size: 867 KB.
  • download in Rutherford/Boeing format, file size: 204 KB.

    Chen/pkustk02

    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 1222 to 1227 and associated error bounds.

    Chen/pkustk02

    Matrix properties (click for a legend)  
    number of rows10,800
    number of columns10,800
    structural full rank?yes
    structural rank10,800
    numerical rank 1,224
    dimension of the numerical null space9,576
    numerical rank / min(size(A))0.11333
    Euclidean norm of A 105.24
    calculated singular value # 12240.00095895
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.5348e-010
    calculated singular value # 12256.2312e-015
    gap in the singular values at the numerical rank:
    singular value # 1224 / singular value # 1225
    1.5389e+011
    calculated condition number-2
    condestInf
    nonzeros810,000
    # 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
    SJid451
    UFid848

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))1,283,724 1,434,060
    Cholesky flop count2.6e+008 3.2e+008
    nnz(L+U), no partial pivoting2,556,648 2,857,320
    nnz(V) for QR, upper bound nnz(L) for LU3,536,244 2,483,172
    nnz(R) for QR, upper bound nnz(U) for LU8,352,504 4,949,892

    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.