• SJSU Singular Matrix Database
  • Matrix group: MathWorks
  • Click here for a description of the MathWorks group.
  • Click here for a list of all matrices
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  • Matrix: MathWorks/Pd_rhs
  • Description: Matrix problem X=A\B with many sparse right-hand-sides
  • download as a MATLAB mat-file, file size: 57 KB. Use SJget(305) or SJget('MathWorks/Pd_rhs') in MATLAB.
  • download in Matrix Market format, file size: 33 KB.
  • download in Rutherford/Boeing format, file size: 35 KB.

    MathWorks/Pd_rhs

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

    MathWorks/Pd_rhs

    dmperm of MathWorks/Pd_rhs

    scc of MathWorks/Pd_rhs

    Matrix properties (click for a legend)  
    number of rows8,081
    number of columns12,406
    structural full rank?no
    structural rank4,368
    numerical rank 4,368
    dimension of the numerical null space8,038
    numerical rank / min(size(A))0.54053
    Euclidean norm of A 1.3554e+005
    calculated singular value # 43680.00040297
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.6106e-007
    calculated singular value # 43691.6703e-011
    gap in the singular values at the numerical rank:
    singular value # 4368 / singular value # 4369
    2.4126e+007
    calculated condition numberInf
    condest-2
    nonzeros6,323
    # of blocks from dmperm2,872
    # strongly connected comp.14,549
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typereal
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorP. Anderson
    editorT. Davis
    date2002
    kindcounter-example problem
    2D/3D problem?no
    SJid305
    UFid1,171

    Ordering statistics:AMD METIS
    nnz(V) for QR, upper bound nnz(L) for LU9,829 10,114
    nnz(R) for QR, upper bound nnz(U) for LU8,788 8,788

    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.