PLAT362: Platzman's oceanographic models
North Atlantic submodel

from set PLATZ, from the Harwell-Boeing Collection

A finite-difference model for the shallow wave equations for the Atlantic Ocean. This is a one ocean submodel of PLAT1919. Derived as the (negative) square of a purely imaginary skew-symmetric matrix (PLSK362). Hence, the eigenvalues occur in pairs (except for an isolated singleton at zero). Well-known as a difficult eigenproblem.

Download as

Compressed MatrixMarket format file: plat362.mtx.gz (36298 bytes)
Compressed Harwell-Boeing format file: plat362.rsa.gz (37270 bytes)

Visualizations

Click on image to get an enlarged version. Click on label to get an explanation.

Structure Plot	City Plot
	3D Interactive City Plot
	[ VRML Version 2, gzipped ] 194993 bytes

Matrix Statistics

Size	Type
362 x 362, 3074 entries	real symmetric indefinite
Nonzeros
total diagonal below diagonal above diagonal A-A' 5786 362 2712 2712 0
Column Data	Row Data
Average nonzeros per column : 16 Standard deviation : 3.3 index nonzeros longest 140 19 shortest 84 4	Average nonzeros per row : 16 Standard deviation : 3.3 index nonzeros longest 140 19 shortest 84 4
Bandwidths	Profile Storage
lower 250 upper 250 average |i-j| 1e+02 std.dev. 91	min max ave. std.dev. lower bandwidth 1 250 1.3e+02 99 upper bandwidth 1 250 1.3e+02 99 Symmetric skyline storage requirement:45623
Heaviest diagonals
offset from main 0 -1 1 -9 9 -8 8 -10 10 -121 nonzeros 362 309 309 159 159 135 135 118 118 97 accumulated percent 6.26 11.60 16.94 19.69 22.43 24.77 27.10 29.14 31.18 32.86 Top 10 out of 121 nonvoid diagonals.
Conditioning
Frobenius norm 5 condition number (est.) 7.1e+11 2-norm (est.) 0.77 diagonal dominance no

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Last change in this page: Wed Sep 22 13:33:48 US/Eastern 2004 [Comments: ]