[ncl-talk] inverse_matrix problem
Walter Hannah
whannah at atmos.colostate.edu
Mon Nov 10 15:52:51 MST 2014
Dennis,
Wow! Thanks for going above and beyond! This helps a lot. I'll try to
look for a way to get a modified matrix that doesn't have all those zeros.
Walter
On 11/10/14 5:50 PM, Dennis Shea wrote:
> You have rows of 0.0 ... I think that is causing issues. I'm sure some
> 'math-whiz' could answer but I attached a simple test code that reads
> your data (thx for providing). It calculates the inverse and the
> identity matrix. Note that NCL is using a direct call to the
> documented LAPACK routines.
>
> ===
> TEST1: duplicates your findings
>
> TEST 2: create a bogus 20x20 array of random numbers. No row consists
> of all constants. Identity matrix is successfully calculated.
>
> TEST 3: wherever the original array had a row of all 0.0, substitute
> random numbers. The identity matrix is successfully calculated.
>
> On Mon, Nov 10, 2014 at 1:57 PM, Walter Hannah
> <whannah at atmos.colostate.edu <mailto:whannah at atmos.colostate.edu>> wrote:
>
> Hi,
>
> I'm trying to use the "inverse_matrix" function. The matrix
> doesn't have any missing values, but I still get this error message:
>
> Variable: M
> Type: float
> Total Size: 1600 bytes
> 400 values
> Number of Dimensions: 2
> Dimensions and sizes: [pertlev | 20] x [tendlev | 20]
> Coordinates:
> pertlev: [50..1950]
> tendlev: [50..1950]
> Number Of Attributes: 2
> missing_value : 9.96921e+36
> _FillValue : 9.96921e+36
> (0)
> ----------------------------------------------------------------------------
>
> 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
> 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
> 0.00 0.00 0.00
> 0.00 -0.31 -0.06 0.15 -0.27 -0.56 -1.21 -1.38
> -1.36 1.49 0.00 0.00 4.65 0.37 0.46 0.47 0.52
> 0.55 0.77 2.49
> 0.00 0.26 -0.35 -0.29 -0.65 -1.13 -2.24 -2.45
> -2.47 2.91 0.00 0.00 4.07 2.45 0.95 0.87 0.90
> 1.05 1.55 4.81
> 0.00 -0.11 1.43 -0.91 -1.69 -1.52 -2.63 -2.81
> -2.69 3.17 0.00 0.00 -2.35 2.61 1.49 1.01 1.00
> 1.18 1.78 5.32
> 0.00 -0.02 0.55 1.08 -1.74 -2.04 -2.59 -2.71
> -2.39 2.63 0.00 0.00 -0.75 -1.10 1.35 1.02 0.89
> 1.00 1.57 4.87
> 0.00 -0.06 0.16 0.52 0.72 -1.86 -2.88 -2.74
> -2.29 2.31 0.00 0.00 0.31 -1.30 -0.26 0.87 0.75
> 0.82 1.27 4.50
> 0.00 -0.13 -0.07 0.20 0.54 0.27 -2.74 -3.10
> -2.27 2.04 0.00 0.00 0.08 -0.49 -0.47 0.14 0.72
> 0.69 1.13 4.24
> 0.00 -0.15 -0.06 0.20 -0.17 0.02 -0.77 -3.87
> -3.13 2.39 0.00 0.00 0.69 -0.08 0.09 0.03 0.36
> 0.90 1.29 4.59
> 0.00 -0.14 0.05 0.09 -0.17 -0.29 -0.14 -0.66
> -5.36 2.00 0.00 0.00 0.39 0.17 0.14 0.07 -0.01
> 0.22 1.00 4.05
> 0.00 0.02 -0.07 -0.01 0.00 0.02 0.43 0.94 0.77
> -2.90 0.00 0.00 -0.09 0.09 -0.04 -0.07 -0.17 -0.26
> -0.49 0.54
> 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
> 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
> 0.00 0.00 0.00
> 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
> 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
> 0.00 0.00 0.00
> 0.00 -0.01 -0.04 0.12 -0.02 -0.01 -0.03 -0.05
> -0.05 0.04 0.00 0.00 -2.17 -0.25 -0.14 0.01 0.02
> 0.02 0.02 0.12
> 0.00 0.00 -0.19 0.11 0.28 0.06 0.11 0.06 0.07
> -0.13 0.00 0.00 2.75 -1.97 -0.04 -0.12 -0.05 -0.05
> -0.08 -0.10
> 0.00 -0.02 -0.14 -0.08 0.31 0.21 0.13 0.08 0.06
> -0.08 0.00 0.00 0.48 1.11 -1.09 -0.13 -0.10 -0.06
> -0.09 -0.12
> 0.00 -0.01 -0.03 -0.11 -0.07 0.32 0.27 0.12 0.18
> -0.17 0.00 0.00 0.02 0.63 0.52 -0.94 -0.02 -0.15
> -0.08 -0.25
> 0.00 0.02 0.08 -0.06 -0.24 0.10 0.43 0.26 0.16
> -0.17 0.00 0.00 0.07 0.31 0.35 0.40 -1.06 -0.06
> -0.20 -0.26
> 0.00 0.06 0.03 -0.10 0.07 0.11 1.03 1.38 0.53
> -1.10 0.00 0.00 -0.44 0.14 -0.03 0.08 0.19 -1.61
> -0.76 -1.16
> 0.00 0.11 -0.03 -0.08 0.07 0.16 0.46 1.28 1.65
> -1.21 0.00 0.00 -0.25 0.07 -0.06 0.00 0.14 0.41
> -3.04 -0.66
> 0.00 0.12 -0.30 -0.15 0.80 1.58 2.86 3.62 5.02
> -3.15 0.00 0.00 -1.23 -0.91 -0.80 -0.94 -0.85 -0.66
> 0.21 -10.64
>
> (0)
> ----------------------------------------------------------------------------
> (0) # missing values: 0
> (0) # values = 0.0 : 111
> warning:inverse_matrix: info = 1; missing values not allowed
>
>
> I thought it might have something to do with those zero values,
> but if I replace them with non-zero values I get a similar, but
> not identical, result:
>
> ...
> (0)
> ----------------------------------------------------------------------------
> (0) # missing values: 0
> (0) # values = 0.0 : 0
> warning:inverse_matrix: info = 20; missing values not allowed
>
>
>
> Thanks,
> Walter
>
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