external

Description

External function or routine for use with specific commands.

An "external" is a function or routine which is used as an argument of some high-level primitives (such as ode, optim, schur...).

The calling sequence of the external (function or routine) is imposed by the high-level primitive which sets the arguments of the external.

For example the external function costfunc is an argument of the optim primitive. Its calling sequence must be: [f,g,ind]=costfunc(x,ind) and optim (the high-level optimization primitive) is invoked as follows:

optim(costfunc,...)

Here costfunc (the cost function to be minimized by the primitive optim) evaluates f=f(x) and g= gradient of f at x (ind is an integer. Its use is precised in the optim help).

If other values are needed by the external function these variables can be defined in its environment. Also, they can be put in a list. For example, the external function

[f,g,ind]=costfunc(x,ind,a,b,c)

is valid for optim if the external is list(costfunc,a,b,c) and the call to optim is then:

optim(list(costfunc,a1,b1,c1),....

An external can also be a Fortran or C routine : this is convenient to speed up the computations.

The name of the routine is given to the high-level primitive as a character string. The calling sequence of the routine is also imposed.

External Fortran or C routines can also be dynamically linked (see link).

See Also

• ode — ordinary differential equation solver
• optim — non-linear optimization routine
• impl — differential algebraic equation
• dassl — differential algebraic equation
• intg — definite integral
• schur — [ordered] Schur decomposition of matrix and pencils
• gschur — generalized Schur form. This function is obsolete.