Other Forms
In some nonlinear systems, parameters are explicit. In others they are implicit, and the system of nonlinear equations is written
where is an n-vector, and its image is an n-1 vector.
This formulation, without an explicit parameter space is not usually suitable for the formulations in the following sections, because they refer to parameterized autonomous nonlinear dynamical systems of the form:
However, in an algebraic system there is no distinction between unknowns and the parameters.
Read more about this topic: Numerical Continuation
Famous quotes containing the word forms:
“The poets eye, in a fine frenzy rolling,
Doth glance from heaven to earth, from earth to heaven;
And as imagination bodies forth
The forms of things unknown, the poets pen
Turns them to shapes, and gives to airy nothing
A local habitation and a name.”
—William Shakespeare (15641616)
“The failure of women to produce genius of the first rank in most of the supreme forms of human effort has been used to block the way of all women of talent and ambition for intellectual achievement.”
—Anna Garlin Spencer (18511931)