• SJSU Singular Matrix Database
  • Matrix group: Bai
  • Click here for a description of the Bai group.
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  • Matrix: Bai/cryg2500
  • Description: CRYSTAL GROWTH EIGENMODES C. YANG
  • download as a MATLAB mat-file, file size: 129 KB. Use SJget(87) or SJget('Bai/cryg2500') in MATLAB.
  • download in Matrix Market format, file size: 150 KB.
  • download in Rutherford/Boeing format, file size: 140 KB.

    Bai/cryg2500

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

    Bai/cryg2500

    Matrix properties (click for a legend)  
    number of rows2,500
    number of columns2,500
    structural full rank?yes
    structural rank2,500
    numerical rank 2,499
    dimension of the numerical null space1
    numerical rank / min(size(A))0.9996
    Euclidean norm of A 9831.1
    calculated singular value # 24997.9351e-007
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.5475e-009
    calculated singular value # 25002.7109e-013
    gap in the singular values at the numerical rank:
    singular value # 2499 / singular value # 2500
    2.9271e+006
    calculated condition number3.6265e+016
    condest4.3503e+017
    nonzeros12,349
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 99%
    numeric value symmetry 0%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorC. Yang
    editorZ. Bai, D. Day, J. Demmel, J. Dongarra
    date1996
    kindmaterials problem
    2D/3D problem?yes
    SJid87
    UFid1,613

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))35,865 39,749
    Cholesky flop count1.0e+006 1.3e+006
    nnz(L+U), no partial pivoting69,230 76,998
    nnz(V) for QR, upper bound nnz(L) for LU61,659 64,158
    nnz(R) for QR, upper bound nnz(U) for LU112,569 118,121

    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.