finiteSum {sumR}

Calculates the sum of a discrete series with a single maximum for a pre-set number of evaluations

Description

A discrete finite series is calculated exactly with no need for approximations. This can also be used for infinite series approximation with a pre-determined number of iterations, but this has no guarantee of quality of approximation

Usage

finiteSum(logFunction, parameters = numeric(), n, n0 = 0)

Arguments

logFunction

The function that returns the series value a_n in the log scale. Can either be an R function or a string indicating one of the precompiled functions. See precompiled() for a list of available functions. If defined in R, the function's definition must have two arguments. The first argument must be the integer argument equivalent to n in a_n and the second must be a vector of numeric parameters.

parameters

A numeric vector with parameters used in logFunction. Vectorized summation over various parameter values sets is not implemented. Use apply() or their variants to achieve this.

n

A single integer positive number indicating the number of iterations to perform in the function.

n0

The sum will be performed for the series starting at this value.

Value

A summed-objects() object.

See Also

precompiled() provides a list with precompiled functions that can be used for the summation.

Examples

# Sum values from 5 to 100
finiteSum(function(x, p) log(x), numeric(), 100 - 5, 5)