Quaglino/viscoplastic1
FEM discretization of a viscoplastic collision problem, Alessio Quaglino
| Name | viscoplastic1 | 
| Group | Quaglino | 
| Matrix ID | 1868 | 
| Num Rows | 4,326 | 
| Num Cols | 4,326 | 
| Nonzeros | 61,166 | 
| Pattern Entries | 61,166 | 
| Kind | Materials Problem | 
| Symmetric | No | 
| Date | 2007 | 
| Author | A. Quaglino | 
| Editor | T. Davis | 
 
 
| Structural Rank | 4,326 | 
| Structural Rank Full | true | 
| Num Dmperm Blocks | 1 | 
| Strongly Connect Components | 1 | 
| Num Explicit Zeros | 0 | 
| Pattern Symmetry | 74.1% | 
| Numeric Symmetry | 0% | 
| Cholesky Candidate | no | 
| Positive Definite | no | 
| Type | real | 
 
| SVD Statistics | 
| Matrix Norm | 7.387435e+01 | 
| Minimum Singular Value | 5.290540e-04 | 
| Condition Number | 1.396348e+05 | 
| Rank | 4,326 | 
| sprank(A)-rank(A) | 0 | 
| Null Space Dimension | 0 | 
| Full Numerical Rank? | yes | 
| Download Singular Values | MATLAB | 
 
 
| Download | MATLAB
Rutherford Boeing
Matrix Market | 
| Notes | 
The matrix is in the form [A11 A12 ; A21 A22] where A11 and A22 are diagonal. 
Originally, the matrices in this set were poorly scaled, but this was resolved
by a scale factor of the form [A11 A12*e ; A21/e A4] where the scalar e is    
of magnitude 1e2 but can be 1e6 or 1e7 for a stiff material.  The Problem.A   
matrix is the properly scaled problem.  The Problem.aux.C{1:7} matrices have  
been "unscaled" with a factor e = 10.^(-(1:7)), to give a sequence of matrices
that are well scaled to poorly scaled, and thus well conditioned (C{1}) to    
poorly conditioned (C{7}).  This mimics the original poorly scaled and ill-   
conditioned problem, and may be of interest for those developing algorithms   
for automatic scaling.  From a FEM discretization of a viscoplastic collision 
problem, Alessio Quaglino. |