• SJSU Singular Matrix Database
  • Matrix group: Bindel
  • Click here for a description of the Bindel group.
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  • Matrix: Bindel/ted_A
  • Description: FEM, coupled linear thermoeslasticity eqns on a bar. D Bindel, UC Berkeley
  • download as a MATLAB mat-file, file size: 2 MB. Use SJget(373) or SJget('Bindel/ted_A') in MATLAB.
  • download in Matrix Market format, file size: 3 MB.
  • download in Rutherford/Boeing format, file size: 2 MB.

    Bindel/ted_A

    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 7.6.0.324 (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 7.6.0.324 (R2008a) to calculate singular values 10602 to 10605 and associated error bounds.

    Bindel/ted_A

    dmperm of Bindel/ted_A

    Matrix properties (click for a legend)  
    number of rows10,605
    number of columns10,605
    structural full rank?yes
    structural rank10,605
    numerical rank 10,604
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99991
    Euclidean norm of A 13.486
    calculated singular value # 106044.9151e-011
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.8838e-011
    calculated singular value # 106055.4613e-012
    gap in the singular values at the numerical rank:
    singular value # 10604 / singular value # 10605
    8.9998
    calculated condition number2.4693e+012
    condest4.1686e+012
    nonzeros424,587
    # of blocks from dmperm4,244
    # strongly connected comp.1
    entries not in dmperm blocks186,468
    explicit zero entries0
    nonzero pattern symmetry 57%
    numeric value symmetry 11%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorD. Bindel
    editorT. Davis
    date2006
    kindthermal problem
    2D/3D problem?yes
    SJid373
    UFid1,405

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))510,205 697,952 137,734
    Cholesky flop count2.6e+007 5.3e+007 3.1e+006
    nnz(L+U), no partial pivoting1,009,805 1,385,299 451,331
    nnz(V) for QR, upper bound nnz(L) for LU4,343,971 629,517 178,704
    nnz(R) for QR, upper bound nnz(U) for LU5,651,891 2,835,812 598,509

    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.