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:
“Pervading nationalism imposes its dominion on man today in many different forms and with an aggressiveness that spares no one.... The challenge that is already with us is the temptation to accept as true freedom what in reality is only a new form of slavery.”
—Pope John Paul II (b. 1920)
“Two forms move among the dead, high sleep
Who by his highness quiets them, high peace
Upon whose shoulders even the heavens rest,
Two brothers. And a third form, she that says
Good-by in the darkness, speaking quietly there,
To those that cannot say good-by themselves.”
—Wallace Stevens (18791955)