JGD_Kocay/Trec14
Brute force disjoint product matrices in tree algebra on n nodes, Nicolas Thiery
Name 
Trec14 
Group 
JGD_Kocay 
Matrix ID 
2148 
Num Rows

3,159 
Num Cols

15,905 
Nonzeros

2,872,265 
Pattern Entries

2,872,265 
Kind

Combinatorial Problem 
Symmetric

No 
Date

2008 
Author

N. Thiery 
Editor

J.G. Dumas 
Structural Rank 
3,159 
Structural Rank Full 
true 
Num Dmperm Blocks

1 
Strongly Connect Components

2 
Num Explicit Zeros

0 
Pattern Symmetry

0% 
Numeric Symmetry

0% 
Cholesky Candidate

no 
Positive Definite

no 
Type

integer 
SVD Statistics 
Matrix Norm 
6.088528e+03 
Minimum Singular Value 
6.032788e14 
Condition Number 
1.009240e+17

Rank 
3,133 
sprank(A)rank(A) 
26 
Null Space Dimension 
26 
Full Numerical Rank? 
no 
Download Singular Values 
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Notes 
Brute force disjoint product matrices in tree algebra on n nodes, Nicolas Thiery
From JeanGuillaume Dumas' Sparse Integer Matrix Collection,
http://ljk.imag.fr/membres/JeanGuillaume.Dumas/simc.html
http://www.lapcs.univlyon1.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/Trec14.txt2
