<p> linfit modules </p>

2575504f-cac4-4fac-ba6a-100815163ac7 22 4 5 decimal

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vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

Applicable parts are: Optimiz "numeric" XY f φ β βlinfit X XY 1 col : Y XY 2 col : n XY rows : k x β φ length 1 - : vx raw initial vector fit i 1 X length range vx i el X i el β f eval : for M-> Cholesky Gradient Matrix j 1 k range i 1 n range M i j el X i el β φ j 1 + el eval : for for Cholesky solver [LS] Φ M transpose M * : d M transpose Y vx - (* : Δβ Φ 1 -^eval d * : b β Δβ + : 131 line :

Vector gradient ... Optimiz Symbolic x β f n φ ct 1 : i 1 n range PD ct el x β f (β ct el diff : stack f(x,β) & PD V 1 el x β f : V i 1 + el PD i el : 21 line ct ct 1 + : 41 line for V 31 line :

XY 75274 - 100160 - 125104 - 150 71.5 - 200 35.2 - 250 16.2 - 300 4.2 - 4009500 16.9 600 21.3 70024112 mat :

X XY 1 col : Y XY 2 col : data X Y . 12 red plotG : 31 line

order 5 :

x β p n 0 order range F 1 el 1 : n 0 ≡ F n 1 + el β n el 1 x / (n^* : cases for F 21 line :

Prepare the 'Unary β' i 1 order range β i el 1 : for

β transpose 1111115 mat

3. Collect  the model function x β f x β p n el n 1 order 1 + sum 11 line :

x c 185 x ≤ (x 750 ≤ (& cases :

set 'n' to length β n β rows :

vector gradient x β φ x β f n φ :

The "linfit" coefficients s XY f φ β βlinfit :

CWD C:\SmathFile CurrentDirectory :

s CWD linfit wfile 1

s CWD linfit rfile :

x G s m el 1 x / (m^* m 1 order sum :

x G 0 ≡ x 300350 solve 321.0563

linfit rational to Broyden data set

x G x c * data 2 1 sys

s 35849.0296 1.8961 107^* - 3.0537 109^* 2.325 1011^* - 6.4725 1012^* 51 mat

x G x diff x c *

integrator fails 
Romberg  ... NFG. x G x 400700 int 5297