Step functions

Description

Step functions for relaxation methods

Usage

purestep(k)
decrstep(k, param)
decrstep5(k)
decrstep10(k)
decrstep20(k)

Arguments

Details

The decrstep function is a decreasing step serie such that decrstep(k) equals to 1/2/(k - param) when k>param, 1/2, otherwise. Functions decrstep5, decrstep10, decrstep20 are just wrappers of decrstep.

The purestep function implements a constant step serie equaled to 1.

Value

A numeric.

Author(s)

Christophe Dutang

See Also

See also GNE and GNE.fpeq.

Examples

cbind(
purestep(1:20),
decrstep(1:20, 7),
decrstep5(1:20),
decrstep10(1:20),
decrstep20(1:20)
)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(GNE)
Loading required package: alabama
Loading required package: numDeriv
Loading required package: nleqslv
Loading required package: BB
Loading required package: SQUAREM
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/GNE/util-stepfunc.Rd_%03d_medium.png", width=480, height=480)
> ### Name: stepfunc
> ### Title: Step functions
> ### Aliases: stepfunc purestep decrstep decrstep5 decrstep10 decrstep20
> ### Keywords: math
> 
> ### ** Examples
> 
> 
> cbind(
+ purestep(1:20),
+ decrstep(1:20, 7),
+ decrstep5(1:20),
+ decrstep10(1:20),
+ decrstep20(1:20)
+ )
      [,1]       [,2]       [,3]       [,4] [,5]
 [1,]    1 0.50000000 0.50000000 0.50000000  0.5
 [2,]    1 0.50000000 0.50000000 0.50000000  0.5
 [3,]    1 0.50000000 0.50000000 0.50000000  0.5
 [4,]    1 0.50000000 0.50000000 0.50000000  0.5
 [5,]    1 0.50000000 0.50000000 0.50000000  0.5
 [6,]    1 0.50000000 0.50000000 0.50000000  0.5
 [7,]    1 0.50000000 0.25000000 0.50000000  0.5
 [8,]    1 0.50000000 0.16666667 0.50000000  0.5
 [9,]    1 0.25000000 0.12500000 0.50000000  0.5
[10,]    1 0.16666667 0.10000000 0.50000000  0.5
[11,]    1 0.12500000 0.08333333 0.50000000  0.5
[12,]    1 0.10000000 0.07142857 0.25000000  0.5
[13,]    1 0.08333333 0.06250000 0.16666667  0.5
[14,]    1 0.07142857 0.05555556 0.12500000  0.5
[15,]    1 0.06250000 0.05000000 0.10000000  0.5
[16,]    1 0.05555556 0.04545455 0.08333333  0.5
[17,]    1 0.05000000 0.04166667 0.07142857  0.5
[18,]    1 0.04545455 0.03846154 0.06250000  0.5
[19,]    1 0.04166667 0.03571429 0.05555556  0.5
[20,]    1 0.03846154 0.03333333 0.05000000  0.5
> 
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>