# Multivariate polynomials

### Description

Various tools to manipulate and combine multivariate polynomials

### Details

Package: | multipol |

Type: | Package |

Version: | 1.0 |

Date: | 2008-01-24 |

License: | GPL |

Basically, coerce an array to a multivariate polynomial (a
“multipol”) using `as.multipol()`

.

Taking a matrix `a`

as an example, because this has two dimensions
it may be viewed as a bivariate polynomial with `a[i,j]`

being the
coefficient of *x^i.y^j*. Note the off-by-one issue; see
`?Extract`

.

Multivariate polynomials of arbitrary arity are a straightforward generalization using appropriately dimensioned arrays.

Arithmetic operations “`+`

”,“`-`

”,
“`*`

”, “`^`

” operate as though their arguments
are multivariate polynomials.

Even quite small multipols are computationally intense; many coefficients have to be calculated and each is the sum of many terms.

The package would benefit **enormously** by being able to use a
sparse array class.

### Author(s)

Robin K. S. Hankin

Maintainer: <r.hankin@noc.soton.ac.uk>

### References

none really

### Examples

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