Matrix: Janna/Hook_1498

Description: 3D model of a steel hook with tetrahedral finite elements

 (undirected graph drawing)

• Matrix group: Janna
• download as a MATLAB mat-file, file size: 352 MB. Use UFget(2546) or UFget('Janna/Hook_1498') in MATLAB.

 Matrix properties number of rows 1,498,023 number of columns 1,498,023 nonzeros 59,374,451 structural full rank? yes structural rank 1,498,023 # 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 type real structure symmetric Cholesky candidate? yes positive definite? yes

 author C. Janna, M. Ferronato editor T. Davis date 2011 kind structural problem 2D/3D problem? yes

Notes:

```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.
```

 Ordering statistics: result 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.