• 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/ex35
  • download as a MATLAB mat-file, file size: 972 KB. Use SJget(415) or SJget('FIDAP/ex35') in MATLAB.
  • download in Matrix Market format, file size: 2 MB.
  • download in Rutherford/Boeing format, file size: 1 MB.


    A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

    Routine svds_err, version 1.0, used with Matlab (R2008a) to calculate the 6 largest singular values and associated error bounds.
    Routine spnrank, version 1.0 with opts.tol_eigs = 1e-008, used with Matlab (R2008a) to calculate singular values 19671 to 19676 and associated error bounds.


    dmperm of FIDAP/ex35

    Matrix properties (click for a legend)  
    number of rows19,716
    number of columns19,716
    structural full rank?yes
    structural rank19,716
    numerical rank 19,673
    dimension of the numerical null space43
    numerical rank / min(size(A))0.99782
    Euclidean norm of A 3.5079e+007
    calculated singular value # 196730.00015087
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    calculated singular value # 196740.00014671
    gap in the singular values at the numerical rank:
    singular value # 19673 / singular value # 19674
    calculated condition number-2
    # of blocks from dmperm342
    # strongly connected comp.342
    entries not in dmperm blocks336
    explicit zero entries336
    nonzero pattern symmetrysymmetric
    numeric value symmetry 46%
    Cholesky candidate?no
    positive definite?no

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

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))556,236 602,130 555,600
    Cholesky flop count2.5e+007 2.9e+007 2.5e+007
    nnz(L+U), no partial pivoting1,092,756 1,184,544 1,091,820
    nnz(V) for QR, upper bound nnz(L) for LU698,951 887,971 786,662
    nnz(R) for QR, upper bound nnz(U) for LU1,353,299 1,675,803 1,465,560

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 336 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.