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:
“No rent-roll nor army-list can dignify skulking and dissimulation: and the first point of courtesy must always be truth, as really all the forms of good-breeding point that way.”
—Ralph Waldo Emerson (18031882)
“A painter told me that nobody could draw a tree without in some sort becoming a tree; or draw a child by studying the outlines of its forms merely,but by watching for a time his motions and plays, the painter enters into his nature and can then draw him at will in every attitude.”
—Ralph Waldo Emerson (18031882)