Description: 3D model of a steel hook with tetrahedral finite elements
|(undirected graph drawing)|
|number of rows||1,498,023|
|number of columns||1,498,023|
|structural full rank?||yes|
|# of blocks from dmperm||30,001|
|# strongly connected comp.||30,001|
|explicit zero entries||1,542,994|
|nonzero pattern symmetry||symmetric|
|numeric value symmetry||symmetric|
|author||C. Janna, M. Ferronato|
Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 1498023 # non-zeroes: 60917445 Problem description: Structural problem The matrix Hook_1498 is obtained from a 3D mechanical problem discretizing a steel hook with tetrahedral Finite Elements. The computational grid consists of regularly shaped elements with three displacement unknowns associated to each node.
|nnz(chol(P*(A+A'+s*I)*P')) with AMD||2,437,506,980|
|Cholesky flop count||2.1e+13|
|nnz(L+U), no partial pivoting, with AMD||4,873,515,937|
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||5,068,138,567|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||10,687,777,183|
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1542994 explicit zero entries.
For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.