• 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/lock_700
  • Description: FINITE ELEMENT PROBLEM. LOCKHEED PORCH PROBLEM
  • download as a MATLAB mat-file, file size: 13 KB. Use SJget(148) or SJget('HB/lock_700') in MATLAB.
  • download in Matrix Market format, file size: 24 KB.
  • download in Rutherford/Boeing format, file size: 8 KB.

    HB/lock_700

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

    HB/lock_700

    dmperm of HB/lock_700

    scc of HB/lock_700

    Matrix properties (click for a legend)  
    number of rows700
    number of columns700
    structural full rank?no
    structural rank691
    numerical rank 165
    dimension of the numerical null space535
    numerical rank / min(size(A))0.23571
    Euclidean norm of A 42.979
    calculated singular value # 1650.0093193
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.9738e-012
    calculated singular value # 1664.89e-014
    gap in the singular values at the numerical rank:
    singular value # 165 / singular value # 166
    1.9058e+011
    calculated condition numberInf
    condestInf
    nonzeros22,175
    # of blocks from dmperm3
    # strongly connected comp.10
    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
    SJid148
    UFid1,181

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))25,602 32,073
    Cholesky flop count1.4e+006 2.3e+006
    nnz(L+U), no partial pivoting50,504 63,446
    nnz(V) for QR, upper bound nnz(L) for LU43,525 44,700
    nnz(R) for QR, upper bound nnz(U) for LU95,260 80,469

    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.