• 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/ex6
  • Description: TEST MATRIX FROM FIDAP: EX6.MAT
  • download as a MATLAB mat-file, file size: 286 KB. Use SJget(122) or SJget('FIDAP/ex6') in MATLAB.
  • download in Matrix Market format, file size: 402 KB.
  • download in Rutherford/Boeing format, file size: 308 KB.

    FIDAP/ex6

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

    FIDAP/ex6

    dmperm of FIDAP/ex6

    Matrix properties (click for a legend)  
    number of rows1,651
    number of columns1,651
    structural full rank?yes
    structural rank1,651
    numerical rank 1,650
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99939
    Euclidean norm of A 449.34
    calculated singular value # 16500.00069054
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    9.3848e-011
    calculated singular value # 16512.3117e-018
    gap in the singular values at the numerical rank:
    singular value # 1650 / singular value # 1651
    2.9872e+014
    calculated condition number1.9438e+020
    condest4.026e+026
    nonzeros49,062
    # of blocks from dmperm13
    # strongly connected comp.1
    entries not in dmperm blocks710
    explicit zero entries471
    nonzero pattern symmetrysymmetric
    numeric value symmetry 98%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Baggag, Y. Saad
    editorA. Baggag, Y. Saad
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid122
    UFid437

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))43,746 48,909 94,261
    Cholesky flop count1.5e+006 1.9e+006 6.6e+006
    nnz(L+U), no partial pivoting85,841 96,167 187,581
    nnz(V) for QR, upper bound nnz(L) for LU68,164 91,495 73,021
    nnz(R) for QR, upper bound nnz(U) for LU241,048 267,177 221,400

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 471 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.