# Diagonal matrix generation diagonal matrix fit

[Generated automatically as a Tutorial summary]

## Inputs

### Description

Name: | gen_diag_fit_diag
Title: | Diagonal matrix generation diagonal matrix fit
Author: | Wright Dose Ltd
Abstract: |

One compartment model with absorption compartment and CL/V parametrisation.
This script uses a diagonal covariance matrix to generate the data and a diagonal covariance matrix to fit.

Keywords: | one compartment model; dep_one_cmp_cl; diagonal matrix
Input Script: | `gen_diag_fit_diag_tut.pyml`
Diagram: |

### True f[X] values

    f[KA] = 0.3000
    f[CL] = 3.0000
    f[V] = 20.0000
    f[PNOISE_STD] = 0.1000
    f[ANOISE_STD] = 0.0500
    f[CL_isv,V_isv] = [
        [ 0.2000, 0.0000 ],
        [ 0.0000, 0.1000 ],
    ]

### Starting f[X] values

    f[KA] = 0.3000
    f[CL] = 3.0000
    f[V] = 20.0000
    f[PNOISE_STD] = 0.1000
    f[ANOISE_STD] = 0.0500
    f[CL_isv,V_isv] = [
        [ 0.0100, 0.0000 ],
        [ 0.0000, 0.0100 ],
    ]

## Outputs

### Generating and Fitting Summaries

- Gen: Diagonal matrix generation diagonal matrix fit (gen)
- Fit: Diagonal matrix generation diagonal matrix fit (fit)

### Fitted f[X] values

    f[KA] = 0.3000
    f[CL] = 3.0000
    f[V] = 20.0000
    f[PNOISE_STD] = 0.1000
    f[ANOISE_STD] = 0.0500
    f[CL_isv,V_isv] = [
        [ 0.1766, 0.0000 ],
        [ 0.0000, 0.0863 ],
    ]

## Plots

### Dense comp plots

Alternatively see All dense_comp graph plots

## Comparison

### True objective value

    -2170.9596

### Final fitted objective value

    -2171.5544

### Compare Main f[X]

No Main f[X] values to compare.

### Compare Noise f[X]

No Noise f[X] values to compare.

### Compare Variance f[X]

Name | Initial | Fitted | True | Prop. Error | Abs. Error
--- | --- | --- | --- | --- | ---
f[CL_isv] | 0.01 | 0.177 | 0.2 | 11.70% | 2.34e-02
f[CL_isv;V_isv] | 0 | 0 | 0 | inf | 0.00e+00
f[V_isv;CL_isv] | 0 | 0 | 0 | inf | 0.00e+00
f[V_isv] | 0.01 | 0.0863 | 0.1 | 13.67% | 1.37e-02