NAG Library Routine Document

e02acf (withdraw_1dmmax)

1

Purpose

2

Specification

3

Description

4

References

5

Arguments

1:     $\mathbf{x}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) arrayInput

On entry: the values of the $x$ coordinates, $x_{\mathit{i}}$, for $\mathit{i}=1,2,\dots ,n$.

Constraint: $x_1<x_2<\cdots <x_n$.

2:     $\mathbf{y}\left(\mathbf{n}\right)$ – Real (Kind=nag_wp) arrayInput

On entry: the values of the $y$ coordinates, $y_{\mathit{i}}$, for $\mathit{i}=1,2,\dots ,n$.

3:     $\mathbf{n}$ – IntegerInput

On entry: the number $n$ of data points.

4:     $\mathbf{a}\left(\mathbf{m1}\right)$ – Real (Kind=nag_wp) arrayOutput

On exit: the coefficients $a_{\mathit{i}}$ of the final polynomial, for $\mathit{i}=1,2,\dots ,m+1$.

5:     $\mathbf{m1}$ – IntegerInput

On entry: $m+1$, where $m$ is the order of the polynomial to be found.

Constraint: $\mathbf{m1}<\min \left(\mathbf{n},100\right)$.

6:     $\mathbf{ref}$ – Real (Kind=nag_wp)Output

On exit: the final reference deviation (see Section 6).

6

Error Indicators and Warnings

7

Accuracy

8

Parallelism and Performance

9

Further Comments

10

Example

10.1

Program Text

Program Text (e02acfe.f90)

10.2

Program Data

10.3

Program Results

Program Results (e02acfe.r)