Line Search Methods (Mathematica Tutorial)

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

EvaluationMonitor (Built-in Mathematica Symbol)

EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are ...

N (Built-in Mathematica Symbol)

N[expr] gives the numerical value of expr. N[expr, n] attempts to give a result with n-digit precision.

Summary of New Features in 7.0 (Mathematica Guide)

The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

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 ...

Add Error Bars to Charts and Plots (Mathematica How To)

Plots of data based on measurements often have vertical lines or intervals centered at the points to indicate the associated error estimates. Mathematica lets you add such ...

ExpIntegralE (Built-in Mathematica Symbol)

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

Mean (Built-in Mathematica Symbol)

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

NevilleThetaD (Built-in Mathematica Symbol)

NevilleThetaD[z, m] gives the Neville theta function \[CurlyTheta]_d (z \[VerticalSeparator] m).

Norm (Built-in Mathematica Symbol)

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.