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


  • Matrix: FIDAP/ex32
  • Description: TEST MATRIX FROM FIDAP: EX32.MAT
  • download as a MATLAB mat-file, file size: 38 KB. Use SJget(121) or SJget('FIDAP/ex32') in MATLAB.
  • download in Matrix Market format, file size: 32 KB.
  • download in Rutherford/Boeing format, file size: 26 KB.

    FIDAP/ex32

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

    FIDAP/ex32

    dmperm of FIDAP/ex32

    scc of FIDAP/ex32

    Matrix properties (click for a legend)  
    number of rows1,159
    number of columns1,159
    structural full rank?yes
    structural rank1,159
    numerical rank 1,158
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99914
    Euclidean norm of A 116.55
    calculated singular value # 11585.1788e-005
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.647e-011
    calculated singular value # 11598.604e-017
    gap in the singular values at the numerical rank:
    singular value # 1158 / singular value # 1159
    6.0191e+011
    calculated condition number1.3546e+018
    condest1.0714e+019
    nonzeros11,047
    # of blocks from dmperm2
    # strongly connected comp.2
    entries not in dmperm blocks0
    explicit zero entries296
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorA. Baggag, Y. Saad
    editorA. Baggag, Y. Saad
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid121
    UFid429

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))16,689 19,018 31,345
    Cholesky flop count3.0e+005 4.3e+005 1.2e+006
    nnz(L+U), no partial pivoting32,219 36,877 61,531
    nnz(V) for QR, upper bound nnz(L) for LU20,342 28,242 22,312
    nnz(R) for QR, upper bound nnz(U) for LU44,799 61,429 48,089

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 296 explicit zero entries.

    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.