Castrillon/denormal
denormals in A+alpha*I as alpha > 0 varies, J. Castrillon, Teledyne
| Name | denormal | 
| Group | Castrillon | 
| Matrix ID | 1892 | 
| Num Rows | 89,400 | 
| Num Cols | 89,400 | 
| Nonzeros | 1,156,224 | 
| Pattern Entries | 1,156,224 | 
| Kind | Counter Example Problem | 
| Symmetric | Yes | 
| Date | 2008 | 
| Author | J. Castrillon | 
| Editor | T. Davis | 
 
 
| Structural Rank | 89,400 | 
| Structural Rank Full | true | 
| Num Dmperm Blocks | 1 | 
| Strongly Connect Components | 1 | 
| Num Explicit Zeros | 0 | 
| Pattern Symmetry | 100% | 
| Numeric Symmetry | 100% | 
| Cholesky Candidate | yes | 
| Positive Definite | yes | 
| Type | real | 
 
 
| Download | MATLAB
Rutherford Boeing
Matrix Market | 
| Notes | 
The problem is x=(A+alpha*I)\b as alpha varies from 0 to 100.  However,
as this occurs, performance suffers because of the many denormals that 
appear below the diagonal in L. |