horner: Horner's method
In clifford: Arbitrary Dimensional Clifford Algebras
horner R Documentation
Horner's method
Description
Horner's method for Clifford objects
Usage
horner(P,v)
Arguments
P
Multivariate polynomial
v
Numeric vector of coefficients
Details
Given a polynomial
omitted; see PDF
it is possible to express p(x) in the algebraically equivalent
form
omitted; see PDF
which is much more efficient for evaluation, as it requires only n
multiplications and n additions, and this is optimal. The output
of horner() depends on the signature().
Note
Horner's method is not as cool for Clifford objects as it is for
(e.g.) multivariate polynomials or freealg objects. This is
because powers of Clifford objects don't get more complicated as the
power increases.
Author(s)
Robin K. S. Hankin
Examples
horner(1+e(1:3)+e(2:3) , 1:6)
rcliff() |> horner(1:4)
clifford documentation built on Aug. 14, 2022, 1:05 a.m.
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| horner | R Documentation |
Horner's method
Description
Horner's method for Clifford objects
Usage
horner(P,v)
Arguments
P |
Multivariate polynomial |
v |
Numeric vector of coefficients |
Details
Given a polynomial
omitted; see PDF
it is possible to express p(x) in the algebraically equivalent form
omitted; see PDF
which is much more efficient for evaluation, as it requires only n
multiplications and n additions, and this is optimal. The output
of horner() depends on the signature().
Note
Horner's method is not as cool for Clifford objects as it is for
(e.g.) multivariate polynomials or freealg objects. This is
because powers of Clifford objects don't get more complicated as the
power increases.
Author(s)
Robin K. S. Hankin
Examples
horner(1+e(1:3)+e(2:3) , 1:6) rcliff() |> horner(1:4)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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