• 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/bcspwr07
  • Description: SYMMETRIC STRUCTURE REPRESENTATION OF WESTERN US POWER NETWORK
  • download as a MATLAB mat-file, file size: 22 KB. Use SJget(63) or SJget('HB/bcspwr07') in MATLAB.
  • download in Matrix Market format, file size: 11 KB.
  • download in Rutherford/Boeing format, file size: 11 KB.

    HB/bcspwr07

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

    HB/bcspwr07

    Matrix properties (click for a legend)  
    number of rows1,612
    number of columns1,612
    structural full rank?yes
    structural rank1,612
    numerical rank 1,601
    dimension of the numerical null space11
    numerical rank / min(size(A))0.99318
    Euclidean norm of A 5.6652
    calculated singular value # 16010.0012803
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    1.4317e-012
    calculated singular value # 16021.115e-015
    gap in the singular values at the numerical rank:
    singular value # 1601 / singular value # 1602
    1.1483e+012
    calculated condition number2.7198e+017
    condestInf
    nonzeros5,824
    # 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
    SJid63
    UFid19

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))5,285 5,898
    Cholesky flop count2.1e+004 3.1e+004
    nnz(L+U), no partial pivoting8,958 10,184
    nnz(V) for QR, upper bound nnz(L) for LU7,487 8,732
    nnz(R) for QR, upper bound nnz(U) for LU14,867 17,055

    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.