• 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/bcspwr02
  • Description: SYMMETRIC STRUCTURE OF A SMALL TEST POWER SYSTEM
  • download as a MATLAB mat-file, file size: 1 KB. Use SJget(59) or SJget('HB/bcspwr02') in MATLAB.
  • download in Matrix Market format, file size: 726 bytes.
  • download in Rutherford/Boeing format, file size: 770 bytes.

    HB/bcspwr02

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

    HB/bcspwr02

    Matrix properties (click for a legend)  
    number of rows49
    number of columns49
    structural full rank?yes
    structural rank49
    numerical rank 48
    dimension of the numerical null space1
    numerical rank / min(size(A))0.97959
    Euclidean norm of A 4.3086
    calculated singular value # 480.07596
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    4.3521e-014
    calculated singular value # 491.9949e-016
    gap in the singular values at the numerical rank:
    singular value # 48 / singular value # 49
    3.8077e+014
    calculated condition number2.1598e+016
    condestInf
    nonzeros167
    # 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
    SJid59
    UFid14

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))129 134
    Cholesky flop count3.6e+002 4.0e+002
    nnz(L+U), no partial pivoting209 219
    nnz(V) for QR, upper bound nnz(L) for LU149 149
    nnz(R) for QR, upper bound nnz(U) for LU275 285

    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.