JGD_Kocay/Trec3 graph

Matrix: JGD_Kocay/Trec3

Description: Brute force disjoint product matrices in tree algebra on n nodes, Nicolas Thiery


  • UF Sparse Matrix Collection
  • Matrix group: JGD_Kocay
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  • download as a MATLAB mat-file, file size: 1 KB. Use UFget(2137) or UFget('JGD_Kocay/Trec3') in MATLAB.
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    JGD_Kocay/Trec3

    dmperm of JGD_Kocay/Trec3

    scc of JGD_Kocay/Trec3

    Matrix properties
    number of rows1
    number of columns2
    nonzeros1
    structural full rank?yes
    structural rank1
    # of blocks from dmperm2
    # strongly connected comp.2
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorN. Thiery
    editorJ.-G. Dumas
    date2008
    kindcombinatorial problem
    2D/3D problem?no

    Notes:

    Brute force disjoint product matrices in tree algebra on n nodes, Nicolas Thiery
    From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,                    
    http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                       
                                                                                    
    http://www.lapcs.univ-lyon1.fr/~nthiery/LinearAlgebra                           
                                                                                    
    Linear algebra for combinatorics                                                
                                                                                    
    Abstract: Computations in algebraic combinatorics often boils down to           
    sparse linear algebra over some exact field. Such computations are              
    usually done in high level computer algebra systems like MuPAD or               
    Maple, which are reasonnably efficient when the ground field requires           
    symbolic computations.  However, when the ground field is, say Q or             
    Z/pZ, the use of external specialized libraries becomes necessary. This         
    document, geared toward developpers of such libraries, present a brief          
    overview of my needs, which seems to be fairly typical in the                   
    community.                                                                      
                                                                                    
    Filename in JGD collection: Kocay/Trec3.txt2                                    
    

    Ordering statistics:AMD METIS DMPERM+
    nnz(V) for QR, upper bound nnz(L) for LU1 1 1
    nnz(R) for QR, upper bound nnz(U) for LU1 1 1

    Maintained by Tim Davis, last updated 05-Nov-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.