Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

Trust Region Methods (Mathematica Tutorial)

A trust region method has a region around the current search point, where the quadratic model for "local minimization" is "trusted" to be correct and steps are chosen to stay ...

CreateExecutable (C Compiler Driver Package Symbol)

CreateExecutable[source, name] compiles a string of C code and creates an executable file, name.ext.CreateExecutable[{file 1, ...}, name] compiles a number of C and mprep ...

CreateObjectFile (C Compiler Driver Package Symbol)

CreateObjectFile[source, name] compiles a string of C code and creates an executable file, name.ext.CreateObjectFile[{file 1, ...}, name] compiles a number of C source files ...

Arg (Built-in Mathematica Symbol)

Arg[z] gives the argument of the complex number z.

ExpIntegralE (Built-in Mathematica Symbol)

ExpIntegralE[n, z] gives the exponential integral function E_n (z).

FindFit (Built-in Mathematica Symbol)

FindFit[data, expr, pars, vars] finds numerical values of the parameters pars that make expr give a best fit to data as a function of vars. The data can have the form {{x_1, ...

HornerForm (Built-in Mathematica Symbol)

HornerForm[poly] puts the polynomial poly in Horner form.HornerForm[poly, vars] puts poly in Horner form with respect to the variable or variable list ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

InverseEllipticNomeQ (Built-in Mathematica Symbol)

InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.