Typical command-line options for Mathematica executables. If the Mathematica front end is called with a notebook file as a command-line argument, then this notebook will be ...

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

Even with "Newton methods" where the local model is based on the actual Hessian, unless you are close to a root or minimum, the model step may not bring you any closer to the ...

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

RemoteServicesKernel[properties] contains a list of properties about a currently open Lightweight Grid kernel.

The Wolfram Lightweight Grid System provides functions for launching and managing remote kernels, one part of a complete Mathematica^® parallel computing environment. With ...

The functionality of RotateShape, TranslateShape, and AffineShape is provided by the newly added kernel functions Rotate, Translate, Scale and GeometricTransformation. ...

MovingAverage and MovingMedian have been added to the built-in Mathematica kernel. ExponentialSmoothing is replaced by ExponentialMovingAverage.