R: One Dimensional Optimization with Tracing

optimizeWithTrace {spatstat.utils} | R Documentation

## One Dimensional Optimization with Tracing

### Description

Find the minimum or maximum of a function over an interval of real numbers, keeping track of the function arguments and function values that were evaluated.

### Usage

    optimizeWithTrace(f, interval, ...,
                      lower = min(interval), upper = max(interval))

### Arguments

`f` | The function to be minimized or maximized.
`interval` | Numeric vector of length 2 containing the end-points of the interval to be searched.
`lower, upper` | The lower and upper endpoints of the interval to be searched.
`...` | Other arguments passed to `optimize`, including arguments to the function `f`.

### Details

This is a simple wrapper for the optimization routine `optimize`. The function `f` will be optimized by computing its value at several locations in the interval, as described in the help for `optimize`. This wrapper function stores the locations and resulting function values, and returns them along with the result of the optimization.

### Value

A list with components

- `minimum` (or `maximum`), the location in the search interval which yielded the optimum value;

- `objective`, the value of the function at this location;

- `x`, the sequence of locations in the interval that were considered (in the order considered);

- `y`, the function values corresponding to `x`.

### Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au, Rolf Turner r.turner@auckland.ac.nz and Ege Rubak rubak@math.aau.dk.

### See Also

`optimize`

### Examples

      f <- function (x, a) (x - a)^2
      result <- optimizeWithTrace(f, c(0, 1), tol = 0.0001, a = 1/3)
      result
      curve(f(x, 1/3))
      with(result, points(x, y, pch=16))

[Package spatstat.utils version 1.13-0 Index]