• 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/cegb3024
  • Description: FINITE ELEMENT PROBLEM. 2-DIMENSIONAL REACTOR CORE SECTION
  • download as a MATLAB mat-file, file size: 58 KB. Use SJget(84) or SJget('HB/cegb3024') in MATLAB.
  • download in Matrix Market format, file size: 83 KB.
  • download in Rutherford/Boeing format, file size: 35 KB.

    HB/cegb3024

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

    HB/cegb3024

    dmperm of HB/cegb3024

    scc of HB/cegb3024

    Matrix properties (click for a legend)  
    number of rows3,024
    number of columns3,024
    structural full rank?no
    structural rank2,996
    numerical rank 1,411
    dimension of the numerical null space1,613
    numerical rank / min(size(A))0.4666
    Euclidean norm of A 31.676
    calculated singular value # 14110.0029798
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.0743e-011
    calculated singular value # 14124.8485e-014
    gap in the singular values at the numerical rank:
    singular value # 1411 / singular value # 1412
    6.1459e+010
    calculated condition number7.328e+224
    condestInf
    nonzeros79,848
    # of blocks from dmperm3
    # strongly connected comp.29
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Donovan
    editorI. Duff, R. Grimes, J. Lewis
    date1980
    kindstructural problem
    2D/3D problem?yes
    SJid84
    UFid1,175

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))115,242 124,362
    Cholesky flop count5.7e+006 6.8e+006
    nnz(L+U), no partial pivoting227,460 245,700
    nnz(V) for QR, upper bound nnz(L) for LU167,244 187,160
    nnz(R) for QR, upper bound nnz(U) for LU431,610 440,974

    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.