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 Dada object reflected an ironic posture before the consecrated forms of art. The surrealist object differs significantly in this respect. It stands for a mysterious relationship with the outer world established by mans sensibility in a way that involves concrete forms in projecting the artists inner model.”
—J.H. Matthews. Object Lessons, The Imagery of Surrealism, Syracuse University Press (1977)
“The highest perfection of politeness is only a beautiful edifice, built, from the base to the dome, of ungraceful and gilded forms of charitable and unselfish lying.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)