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

  • Matrix: Norris/lung1
  • Description: S.Norris, Univ. Auckland. Coupled temp,water vapour transport in lung
  • download as a MATLAB mat-file, file size: 42 KB. Use SJget(301) or SJget('Norris/lung1') in MATLAB.
  • download in Matrix Market format, file size: 53 KB.
  • download in Rutherford/Boeing format, file size: 42 KB.


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


    dmperm of Norris/lung1

    Matrix properties (click for a legend)  
    number of rows1,650
    number of columns1,650
    structural full rank?yes
    structural rank1,650
    numerical rank 1,549
    dimension of the numerical null space101
    numerical rank / min(size(A))0.93879
    Euclidean norm of A 516.92
    calculated singular value # 15491.8934e-010
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 15501.8735e-010
    gap in the singular values at the numerical rank:
    singular value # 1549 / singular value # 1550
    calculated condition number4.8925e+012
    # of blocks from dmperm2
    # strongly connected comp.2
    entries not in dmperm blocks2,473
    explicit zero entries0
    nonzero pattern symmetry 57%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorS. Norris
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))5,771 8,007 3,298
    Cholesky flop count2.1e+004 4.2e+004 6.6e+003
    nnz(L+U), no partial pivoting9,892 14,364 7,419
    nnz(V) for QR, upper bound nnz(L) for LU5,080 7,463 3,298
    nnz(R) for QR, upper bound nnz(U) for LU9,751 13,543 7,643

    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.