ndtorch

Examples:

Example-01: Derivative
Example-02: Derivative table representation
Example-03: Derivative table propagation
Example-04: Jet class
Example-05: Nonlinear mapping approximation
Example-06: Fixed point
Example-07: Parametric fixed point
Example-08: Fixed point manipulation (collision)
Example-09: Fixed point manipulation (change point type)
Example-10: Alignment indices chaos indicators
Example-11: Closed orbit (dispersion)
Example-12: Closed orbit (quadrupole shift)
Example-13: Closed orbit (sextupole shift)
Example-14: Closed orbit (responce matrix & correction)
Example-15: Tune (chromaticity)
Example-16: Tune (responce matrix & correction)
Example-17: Tune (spread)
Example-18: Parametric twiss
Example-19: Parametric phase advance
Example-20: Poisson bracket
Example-21: Taylor integrator
Example-22: Yoshida integrator
Example-23: Direct invariant
Example-24: Direct invariant (parametric)
Example-25: Composition
Example-26: Composition (closed orbit)
Example-27: Inverse
Example-28: Inverse (closed orbit)
Example-29: Momenta generator
Example-30: Factorization (kick)
Example-31: Factorization (fodo)
Example-32: Factorization (factorize)
Example-33: Nonlinear mapping approximation (gradient)
Example-34: ORM optics correction
Example-35: ORM optics correction (training loop)
Example-36: ORM optics correction (training loop + elementwise computation)
Example-37: Normalized dispersion
Example-38: Coupling (minimal tune distance)
Example-39: Coupling (minimal tune distance correction)
Example-40: Coupling (amplitude ratio correction)

API:

Util
curry_apply()
first()
flatten()
last()
most()
multinomial()
nest()
orthogonal()
rest()
symplectic()
tolist()
Derivative
derivative()
Gradient
derivative()
evaluate()
factor()
group()
hessian()
index()
jacobian()
naught()
reduce()
scalar()
select()
series()
signature()
split()
Complex
Signature
apply()
chop()
get()
set()
signature()
to()
Index
build()
index()
reduce()
Series
clean()
fetch()
merge()
series()
split()
Evaluate
compare()
evaluate()
table()
Propagate
identity()
propagate()
Parametric fixed point
chain_point()
check_point()
clean_point()
fixed_point()
matrix()
newton()
parametric_fixed_point()
Bracket
bracket()
Taylor
taylor()
Yoshida
coefficients()
yoshida()
Invariant
invariant()
Inverse
inverse()
Momenta
momenta()
Factorization
factorize()
hamiltonian()
hamiltonian_inverse()
solution()
Jet
Jet

ndtorch

Matrix
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Matrix

Monomial matrix computation (real & complex)

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