• SJSU Singular Matrix Database
  • Matrix group: Bai
  • Click here for a description of the Bai group.
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  • Matrix: Bai/odepb400
  • Description: MODEL ORDINARY DIFFERENTIAL EIGENVALUE PROBLEM
  • download as a MATLAB mat-file, file size: 3 KB. Use SJget(162) or SJget('Bai/odepb400') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Bai/odepb400

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

    Bai/odepb400

    dmperm of Bai/odepb400

    scc of Bai/odepb400

    Matrix properties (click for a legend)  
    number of rows400
    number of columns400
    structural full rank?no
    structural rank399
    numerical rank 399
    dimension of the numerical null space1
    numerical rank / min(size(A))0.9975
    Euclidean norm of A 2.66e-014
    calculated singular value # 3991.33e-014
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.2622e-027
    calculated singular value # 4000
    gap in the singular values at the numerical rank:
    singular value # 399 / singular value # 400
    Inf
    calculated condition numberInf
    condestInf
    nonzeros399
    # of blocks from dmperm401
    # strongly connected comp.400
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorG. Stewart
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1978
    kind2D/3D problem
    2D/3D problem?yes
    SJid162
    UFid317

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))400 400
    Cholesky flop count4.0e+002 4.0e+002
    nnz(L+U), no partial pivoting400 400
    nnz(V) for QR, upper bound nnz(L) for LU400 400
    nnz(R) for QR, upper bound nnz(U) for LU400 400

    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.