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evaluate -- evaluate a polynomial system or matrix at a point

Synopsis

Usage:

y = evaluate(f,x)
Inputs:
- f, a polynomial system or a matrix
- x, a point or a matrix
Outputs:
- y, the value f(x)

Description

Evaluates a PolySystem or a matrix with polynomial entries at a point.

i1 : R = CC[x,y]; S = polySystem {x^2+y^2-6, 2*x^2-y};

i3 : p = point {{1.0+3*ii,2.3+ii}};

i4 : evaluate(S,p)

o4 = | -9.71+10.6ii |
     | -18.3+11ii   |

                2         1
o4 : Matrix CC    <-- CC
              53        53

i5 : evaluate(jacobian S, p)

o5 = | 2+6ii  4.6+2ii |
     | 4+12ii -1      |

                2         2
o5 : Matrix CC    <-- CC
              53        53

See also

PolySystem -- a polynomial system

Ways to use evaluate :

evaluate(Matrix,AbstractPoint)
evaluate(Matrix,Matrix)
evaluate(PolySystem,Matrix)
evaluate(System,AbstractPoint) -- see System -- a system of functions
evaluate(System,AbstractPoint,AbstractPoint) -- see System -- a system of functions
evaluate(System,Matrix) -- see System -- a system of functions
evaluate(System,Matrix,Matrix) -- see System -- a system of functions

For the programmer

The object evaluate is a method function.