findZerosMult: Find the zeros of a function of two or more variables

In mosaic: Project MOSAIC Statistics and Mathematics Teaching Utilities

Find the zeros of a function of two or more variables

Description

Compute numerically zeros of a function of two or more variables. All free variables (all but the variable on the right side) named in the expression must be assigned a value via ⁠\ldots⁠

Usage

findZerosMult(..., npts = 10, rad = 5, near = 0, sortBy = "byx")

Arguments

...	arguments for values NOTE: if the system has more than one equation and the rhs variables do not match up, there will be an error.
npts	number of desired zeros to return
rad	radius around near in which to look for zeros
near	center of search for zeros
sortBy	options for sorting zeros for plotting. Options are 'byx', 'byy' and 'radial'. The default value is 'byx'.

Details

sorts points in the domain according to the sign of the function value at respective points. Use continuity and uniroot to find zeros between points of opposite signs. Returns any number of points which may be sorted and plotted according to x, y, or radial values.

Value

A data frame of numerical values which should all result in a value of zero when input into original function

Author(s)

Cecylia Bocovich

Examples

findZerosMult(a*x^2-8~a&x, npts = 50)
findZerosMult(a^2+x^2-8~a&x, npts = 100, sortBy='radial')
## Not run: findZerosMult(a^2+x^2-8~a&x, npts = 1000, sortBy='radial')

mosaic documentation built on May 29, 2024, 5:27 a.m.