LINEAR SYSTEM ANALYZER

Basic Matrix Information


Matrix dumped from CADYF7 by DP.


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

[Matrix Structure Plot]

Index

  1. Basic Structure
  2. Matrix Symmetry
  3. Diagonal Dominance
  4. Potential Singularity
  5. Data Structure
    1. Skyline
    2. Banded
    3. Dense




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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

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DIAGONAL DOMINANCE INFORMATION
Fraction of weakly diagonally dominant rows 5.9160 × 10-4
Fraction of weakly diagonally dominant columns 6.4090 × 10-4

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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

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SKYLINE DATA STRUCTURE INFORMATION
Number of nonzeros in skyline storage 20,491,940

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BANDED STRUCTURE INFORMATION
Average distance of a(i,j) from diagonal2.922448 × 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

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DENSE DATA STRUCTURE INFORMATION
Number of double words to store matrix as dense is4.114407 × 108

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