These 4 examples illustrate advanced use of Polyfit
of which, the core solver is Cholesky LS [Least Squares].
Lot of utilities as needed for else project(s).
linfitCheby transits coefficients via file.
As given it should create in your system, if not: report.

Jean

Poly 0 Read First Edu.sm (36,13 KiB) scaricato 1299 volta(e).
Polynomial fit Methods [linfitCheby].sm (43,15 KiB) scaricato 1124 volta(e).
Polynomial fit Methods [ Rational Iterate 'J'].sm (54,34 KiB) scaricato 1117 volta(e).
Genfit NonLinearFit [Revisit].sm (88,15 KiB) scaricato 1126 volta(e).

Wrote

These 4 examples illustrate advanced use of Polyfit

... next advanced fitting session is Thiele Continued Fraction.
It fits many type of shapes, the most remarkable ones are
of type hyperbolic. They may be the unique interpolation fitter
like many of ISA [International Standard Atmosphere].
Their reduced form J(β,x) origin from the first Main Frames
before the rational fractions [Padé] were available.
Continued Fractions are believed rediscovered from stone sculptures
from Mesopotamians 4000 BC ... God was not yet dead.
I got initiated to CF from F.B. Hildebrand.

Polynomial fit Methods [Thiele Cfr(K,X,x)].sm (76,53 KiB) scaricato 1135 volta(e).