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ODEP400A: Model Eigenvalue Problem of ODEs

generated by MVMODE, from the NEP Collection

[Download] [Visualizations] [Matrix Statistics] [Generator Information]


From generalized eigenvalue problem Ax=(lambda)Bx. This is matrix A; matrix B is ODEP400B from MVMODE set.


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Visualizations

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Structure Plot City Plot
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[ VRML Version 2, gzipped ] 133435 bytes


Matrix Statistics

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Size Type
400 x 400, 1201 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
1201 400 402 399 8
Column Data Row Data
Average nonzeros per column : 3
Standard deviation : 0.087

indexnonzeros
longest2 4
shortest400 2

Average nonzeros per row : 3
Standard deviation : 0.11

indexnonzeros
longest400 5
shortest1 2

Bandwidths Profile Storage
lower400 upper2
average |i-j|1.3 std.dev.16
minmaxave.std.dev.
lower bandwidth0 399 2 20
upper bandwidth0 1 1 0.05

Nonsymmetric skyline storage 796

Heaviest diagonals
offset from main0 -1 1 -399 -398 -2
nonzeros400 399 399 1 1 1
accumulated percent33.3166.5399.7599.8399.92100.00

Top 6 out of 6 nonvoid diagonals.
Conditioning
Frobenius norm49 condition number (est.)8.3e+05
2-norm (est.)5 diagonal dominanceno


Generator Information

Generator MVMODE
Source: G.W. Stewart, University of Maryland
Discipline:Ordinary differential equations


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Last change in this page: Wed Sep 22 13:37:31 US/Eastern 2004 [Comments: ]