Matrix: JGD_Kocay/Trec5
Description: Brute force disjoint product matrices in tree algebra on n nodes, Nicolas Thiery
| Matrix properties | |
| number of rows | 3 |
| number of columns | 7 |
| nonzeros | 12 |
| structural full rank? | yes |
| structural rank | 3 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 2 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | integer |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | N. Thiery |
| editor | J.-G. Dumas |
| date | 2008 |
| kind | combinatorial 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/Trec5.txt2
| Ordering statistics: | AMD | METIS |
| nnz(V) for QR, upper bound nnz(L) for LU | 10 | 10 |
| nnz(R) for QR, upper bound nnz(U) for LU | 6 | 6 |
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.