• SJSU Singular Matrix Database
  • Matrix group: HB
  • Click here for a description of the HB group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: HB/plat1919
  • Description: SPLATZMAN SYMMETRIC FINITE DIFFERENCE THREE OCEAN MODEL
  • download as a MATLAB mat-file, file size: 265 KB. Use SJget(207) or SJget('HB/plat1919') in MATLAB.
  • download in Matrix Market format, file size: 209 KB.
  • download in Rutherford/Boeing format, file size: 199 KB.

    HB/plat1919

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

    HB/plat1919

    Matrix properties (click for a legend)  
    number of rows1,919
    number of columns1,919
    structural full rank?yes
    structural rank1,919
    numerical rank 1,916
    dimension of the numerical null space3
    numerical rank / min(size(A))0.99844
    Euclidean norm of A 2.9216
    calculated singular value # 19167.0616e-012
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    8.5221e-013
    calculated singular value # 19171.0888e-013
    gap in the singular values at the numerical rank:
    singular value # 1916 / singular value # 1917
    64.857
    calculated condition number1.6628e+017
    condest6.843e+018
    nonzeros32,399
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorJ. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1975
    kind2D/3D problem
    2D/3D problem?yes
    SJid207
    UFid228

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))67,262 75,867
    Cholesky flop count3.0e+006 4.1e+006
    nnz(L+U), no partial pivoting132,605 149,815
    nnz(V) for QR, upper bound nnz(L) for LU77,872 102,970
    nnz(R) for QR, upper bound nnz(U) for LU147,384 193,381

    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.