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


  • Matrix: HB/lock3491
  • Description: FINITE ELEMENT PROBLEM. LOCKHEED CROSS-CONE PROBLEM
  • download as a MATLAB mat-file, file size: 71 KB. Use SJget(147) or SJget('HB/lock3491') in MATLAB.
  • download in Matrix Market format, file size: 157 KB.
  • download in Rutherford/Boeing format, file size: 49 KB.

    HB/lock3491

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

    HB/lock3491

    dmperm of HB/lock3491

    scc of HB/lock3491

    Matrix properties (click for a legend)  
    number of rows3,491
    number of columns3,491
    structural full rank?no
    structural rank3,416
    numerical rank 603
    dimension of the numerical null space2,888
    numerical rank / min(size(A))0.17273
    Euclidean norm of A 53.979
    calculated singular value # 6030.0024373
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    2.4805e-011
    calculated singular value # 6041.5179e-013
    gap in the singular values at the numerical rank:
    singular value # 603 / singular value # 604
    1.6057e+010
    calculated condition numberInf
    condestInf
    nonzeros160,444
    # of blocks from dmperm3
    # strongly connected comp.76
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorW. Loden
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes
    SJid147
    UFid1,180

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))226,325 252,098
    Cholesky flop count1.9e+007 2.5e+007
    nnz(L+U), no partial pivoting449,159 500,705
    nnz(V) for QR, upper bound nnz(L) for LU387,799 392,770
    nnz(R) for QR, upper bound nnz(U) for LU725,172 712,229

    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.