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# Computation

## Category Documents

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Student/NumericalAnalysis/AbsoluteError
compute the absolute error of an approximation

return an interpolated polynomial structure with a newly added point

Student/NumericalAnalysis/ApproximateExactUpperBound
compute approximate, exact and upper bound remainder term values

Student/NumericalAnalysis/BackSubstitution
solve A.x = b where A is an upper-triangular matrix

Student/NumericalAnalysis/BasisFunctions
return a list of the basis functions from a POLYINTERP structure

Student/NumericalAnalysis/CubicSpline
perform cubic spline interpolation on a set of data

Student/NumericalAnalysis/DataPoints
return the data points from a POLYINTERP structure

Student/NumericalAnalysis/Distance
compute the distance between two matrices or vectors

Student/NumericalAnalysis/DividedDifferenceTable
compute the divided difference table

Student/NumericalAnalysis/ExactValue
return specific value(s) of the exact function

Student/NumericalAnalysis/ForwardSubstitution
solve A.x = b where A is a lower-triangular matrix

Student/NumericalAnalysis/Function
return the exact function from an interpolation structure

Student/NumericalAnalysis/Interpolant
return the interpolated polynomial from a POLYINTERP structure

Student/NumericalAnalysis/InterpolantRemainderTerm
return the interpolating polynomial and remainder term from an interpolation structure

Student/NumericalAnalysis/IsConvergent
determine whether an iterative approximation method converges or not

Student/NumericalAnalysis/IsMatrixShape
Check whether a matrix is a certain shape or not

Student/NumericalAnalysis/IterativeFormula
compute an iterative formula to approximate the solution to a linear system numerically

return a leading submatrix of a square matrix

Student/NumericalAnalysis/LinearSystem
return the linear system of equations used to solve cubic spline interpolants

Student/NumericalAnalysis/MatrixConvergence
check whether a matrix is convergent

Student/NumericalAnalysis/NevilleTable
compute the Neville table of an interpolation structure

Student/NumericalAnalysis/NumberOfSignificantDigits
compute the number of significant digits of an approximation

Student/NumericalAnalysis/PolynomialInterpolation
perform polynomial interpolation on a set of data

Student/NumericalAnalysis/RateOfConvergence
compute the rate of convergence of a sequence or function

Student/NumericalAnalysis/RelativeError
compute the relative error of an approximation

Student/NumericalAnalysis/RemainderTerm
return the remainder term from an interpolation structure