• 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/bcspwr10
  • Description: SYMMETRIC STRUCTURE OF REPRESENTATION OF ENTIRE U.S. POWER NETWORK
  • download as a MATLAB mat-file, file size: 91 KB. Use SJget(324) or SJget('HB/bcspwr10') in MATLAB.
  • download in Matrix Market format, file size: 51 KB.
  • download in Rutherford/Boeing format, file size: 41 KB.

    HB/bcspwr10

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

    HB/bcspwr10

    Matrix properties (click for a legend)  
    number of rows5,300
    number of columns5,300
    structural full rank?yes
    structural rank5,300
    numerical rank 5,276
    dimension of the numerical null space24
    numerical rank / min(size(A))0.99547
    Euclidean norm of A 6.8154
    calculated singular value # 52760.00055615
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.7073e-012
    calculated singular value # 52778.9267e-015
    gap in the singular values at the numerical rank:
    singular value # 5276 / singular value # 5277
    6.2302e+010
    calculated condition number9.6926e+016
    condestInf
    nonzeros21,842
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

    authorB. Dembart, J. Lewis
    editorI. Duff, R. Grimes, J. Lewis
    date1981
    kindpower network problem
    2D/3D problem?no
    SJid324
    UFid22

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))27,938 33,151
    Cholesky flop count2.5e+005 4.3e+005
    nnz(L+U), no partial pivoting50,576 61,002
    nnz(V) for QR, upper bound nnz(L) for LU52,504 58,766
    nnz(R) for QR, upper bound nnz(U) for LU103,168 114,907

    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.