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. ...

Symbolic Evaluation (Mathematica Tutorial)

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

Test Problems (Mathematica Tutorial)

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

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 ...

Variables and Starting Conditions (Mathematica Tutorial)

All the functions FindMinimum, FindMaximum, and FindRoot take variable specifications of the same form. The function FindFit uses the same form for its parameter ...

Using Assumptions (Mathematica Tutorial)

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

Views (Mathematica Tutorial)

Mathematica supports a variety of objects that can be used to organize and display information in output. Known collectively as views, these objects range from the simple ...

Why You Do Not Usually Need to Know ... (Mathematica Tutorial)

Most of the documentation provided for Mathematica is concerned with explaining what Mathematica does, not how it does it. But the purpose of this is to say at least a little ...

Working with String Patterns (Mathematica Tutorial)

The general symbolic string patterns in Mathematica allow you to perform powerful string manipulation efficiently. What follows discusses the details of string patterns, ...

CUDAFunctionLoad (CUDALink Symbol)

CUDAFunctionLoad[src, fun, argtypes, blockdim] loads CUDAFunction from scr and makes fun available in Mathematica.CUDAFunctionLoad[{srcfile}, fun, argtypes, blockdim] loads ...