![[Matrix Structure Plot]](matstruc.gif)
| BASIC STRUCTURE | |
|---|---|
| Dimension of Matrix | 20,284 |
| Number of explicitly stored elements | 452,752 |
| Max nonzeros in a column | 56 |
| Min nonzeros in a column | 8 |
| Max nonzeros in a row | 56 |
| Min nonzeros in a row | 8 |
| Average number of nonzero elements/Column | 2.2321 × 101 |
| Standard deviation for above average | 8.7768 |
| Maximum element in A in absolute value | 1.1180 |
| SYMMETRY INFORMATION | |
|---|---|
| Nonzero elements in strict lower part | 216,234 |
| Nonzero elements in strict upper part | 216,234 |
| Number of entries matched in structural symmetry | 452,752 |
| Structural symmetry coefficient (symmetry=1) | 1.0000 |
| Frobenius norm of A | 3.3154 × 101 |
| Frobenius norm of symmetric part: ½(A+A') | 3.3148 × 101 |
| Frobenius norm of nonsymmetric part: ½(A-A') | 6.2586 × 10-1 |
| DIAGONAL DOMINANCE INFORMATION | |
|---|---|
| Fraction of weakly diagonally dominant rows | 5.9160 × 10-4 |
| Fraction of weakly diagonally dominant columns | 6.4090 × 10-4 |
| POTENTIAL SINGULARITY INFORMATION | |
|---|---|
| Number of zeros on main diagonal | 0 |
| Number of columns consisting of all zeros | 0 |
| Number of rows consisting of all zeros | 0 |
| SKYLINE DATA STRUCTURE INFORMATION | |
|---|---|
| Number of nonzeros in skyline storage | 20,491,940 |
| BANDED STRUCTURE INFORMATION | |
|---|---|
| Average distance of a(i,j) from diagonal | 2.922448 × 102 |
| Standard deviation for above average | 1.4482 × 103 |
| Lower bandwidth (max: i-j, a(i,j) .ne. 0) | 12,073 |
| Upper bandwidth (max: j-i, a(i,j) .ne. 0) | 12,073 |
| Maximum Bandwidth | 14,033 |
| Average Bandwidth | 1.0541 × 103 |
| 90 percent of matrix is in the band of width | 263 |
| 80 percent of matrix is in the band of width | 209 |
| The total number of nonvoid diagonals is | 5,919 |
| DENSE DATA STRUCTURE INFORMATION | |
|---|---|
| Number of double words to store matrix as dense is | 4.114407 × 108 |