Lagrangian Interpolation - Theory

[SpitTanker]

I haven't understood why is (x-xj)/(xi-xj) , isn't the same if I write (xi-xj)/(xi-xj), I don't understand what you mean for "x", isn't x the same as xi?

[numericalmethodsguy]

@SpitTanker (x) is the independent variable for the Lagrangian interpolant, the xi and xj are specific points at which y values are given.

[gonebraska]

Dude you rule! Thanks!

[LAnonHubbard]

Thanks for the video. I've been working through Lagrange polynomials today and managed to come up with an interpolating polynomial over 4 data points using Lagrange basis polynomials. Your previous videos have helped me to gain confidence in the terminology, process, etc. This video was fantastic even if it was more of a review one. Thanks for putting these resources up.

[CharlieTan84]

Thanks for the video sir. I think you are a great professor!

Thank you very much for your contributions to the science community!

[kyranwilliamson]

absolute legend! thanks so much

[dlopjo]

oh I wish u were my professor! You are very good!! Keep on doing this! thank you!

[sangboi]

Thank you!

[kojelja0]

thanks a lot!!, very useful