Bottom Page

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
 Can I evaluate a Chebyshev polynomial using a function
Hello everyone. I need to evaluate an arbitrary Chebyshev polynomial of order n at a point x. I have done it manually using their definition as

However, I am not satisfied by the numerical precision of this, the results are not exact. I have searched the web for a function that does this in a more efficient way and the closest thing I have found is the Chebyshev module. However, inside of it I cannot find what I am looking for.

The first Chebyshev polynomials are P_0=1, P_1=x,P_2=2x^2-1 and so on. I need a function which output is the polynomial of the selected order evaluated at an arbitrary point. i.e. f(n=1, x=0.6)= 0.6, f(n=2, x=0.5)= 2*(0.5)^2-1 and so on.

Can someone tell me if said function exists?
Take a look at SymPy module. This is package for symbolic computations and computations with high precision.

Top Page

Possibly Related Threads...
Thread Author Replies Views Last Post
  Finding out roots of Chebyshev's polynomials player1681 2 277 Dec-02-2019, 11:53 PM
Last Post: scidam
  Machine Learning Polynomial Regression braveYug 0 188 Nov-13-2019, 11:41 AM
Last Post: braveYug
  Evaluate dataset with logistic regression chisox721 6 592 Jun-06-2019, 03:01 PM
Last Post: chisox721
  Confidence intervals over time with polynomial regression jjameson 0 536 May-16-2019, 02:22 PM
Last Post: jjameson
  To draw a polynomial solution pianistseb 2 704 Nov-13-2018, 01:45 PM
Last Post: pianistseb

Forum Jump:

Users browsing this thread: 1 Guest(s)