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Overview of Computation in NumericalAnalysis

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See Student[NumericalAnalysis] for a general introduction to the NumericalAnalysis subpackage of the Student package.

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The computation commands can be used to study the concepts and computations of numerical analysis.

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The computation commands focus on specific fields of numerical analysis such as: numerical linear algebra and interpolation.

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The computation commands that deal with interpolation are:

AddPoint

ApproximateExactUpperBound

ApproximateValue

BasisFunctions

CubicSpline

DataPoints

DividedDifferenceTable

ExactValue

Function

Interpolant

InterpolantRemainderTerm

LinearSystem

NevilleTable

PolynomialInterpolation

RemainderTerm

UpperBoundOfRemainderTerm

 

 

  

There are also visualization commands in the Student[NumericalAnalysis] subpackage that focus on interpolation.  See Visualization Overview for more details.

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The computation commands that deal with numerical linear algebra are:

BackSubstitution

Distance

ForwardSubstitution

IsConvergent

IsMatrixShape

IterativeFormula

LeadingPrincipalSubmatrix

LinearSolve

MatrixConvergence

MatrixDecomposition

SpectralRadius

VectorLimit

  

There are also visualization and interactive commands in the Student[NumericalAnalysis] subpackage that focus on numerical linear algebra.  See Visualization Overview and Interactive Overview for more details.

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The remaining general computation commands are:

AbsoluteError

NumberOfSignificantDigits

RateOfConvergence

RelativeError

TaylorPolynomial

 

See Also

Student[NumericalAnalysis]

Student[NumericalAnalysis][InteractiveOverview]

Student[NumericalAnalysis][VisualizationOverview]