kahle function

A sparse multivariate polynomial

A sparse multivariate polynomial inspired by Kahle (2013)

kahle(n = 26, r = 1, p = 1, coeffs = 1, symbols = letters)

Arguments

• n: Number of different symbols to use
• r: Number of symbols in a single term
• p: Power of each symbol in each terms
• coeffs: Coefficients of the terms
• symbols: Alphabet of symbols

References

David Kahle 2013. ‘mpoly’: multivariate polynomials in R . R Journal, volume 5/1.

Author(s)

Robin K. S. Hankin

See Also

special

Examples

kahle()  # a+b+...+z
kahle(r=2,p=1:2)  # Kahle's original example

## example where mvp runs faster than spray (mvp does not need a 200x200 matrix):
k <- kahle(200,r=3,p=1:3,symbols=paste("x",sprintf("%02d",1:200),sep=""))
system.time(ignore <- k^2)
#system.time(ignore <- mvp_to_spray(k)^2)   # needs spray package loaded