jacobiZeros {rjacobi} | R Documentation |
Calculates the zeros of nth order Jacobi polynomials
z = jacobiZeros(Q, a=0.0, b=0.0)
Q |
Number of zeros, order = Q - 1 |
a |
α parameter of Jacobi polynomial. Defaults to 0 |
b |
β parameter of Jacobi polynomial. Defaults to 0 |
An iterative procedure using the Zeros of Chebychev polynomials (whose zeros are known analitically) is used to compute the zeros
A vector containing the zeros of the Jacobi Polynomial
Abramowitz, Milton and Stegun, Irene (editors); "Handbook of Mathematical functions", Dover Publications 1965.
Karniadakis, George Em and Sherwin, Spencer; "Spectral/hp Element Methods for Computational Fluid Dynamics", Oxford Science Publications, 2nd edition, 2005.
## Calculate the zeros of the 5th order Jacobi polynomials z = jacobiZeros(5, 1, 0.5)