NAG Library Function Document

nag_ode_bvp_ps_lin_cheb_eval (d02uzc)

1

Purpose

2

Specification

3

Description

4

References

5

Arguments

1:    $\mathbf{k}$ – IntegerInput

On entry: the order of the Chebyshev polynomial.

Constraint: $\mathbf{k}\ge 0$.

2:    $\mathbf{x}$ – doubleInput

On entry: the point at which to evaluate the polynomial.

Constraint: $-1.0\le \mathbf{x}\le 1.0$.

3:    $\mathbf{t}$ – double *Output

On exit: the value, $T$, of the Chebyshev polynomial order $k$ evaluated at $x$.

4:    $\mathbf{fail}$ – NagError *Input/Output

The NAG error argument (see Section 3.7 in How to Use the NAG Library and its Documentation).

6

Error Indicators and Warnings

NE_ALLOC_FAIL

Dynamic memory allocation failed.
See Section 2.3.1.2 in How to Use the NAG Library and its Documentation for further information.

NE_BAD_PARAM

On entry, argument $〈\mathit{\text{value}}〉$ had an illegal value.

NE_INT

On entry, $\mathbf{k}=〈\mathit{\text{value}}〉$.
Constraint: $\mathbf{k}\ge 0$.

NE_INTERNAL_ERROR

An internal error has occurred in this function. Check the function call and any array sizes. If the call is correct then please contact NAG for assistance.
See Section 2.7.6 in How to Use the NAG Library and its Documentation for further information.

NE_NO_LICENCE

Your licence key may have expired or may not have been installed correctly.
See Section 2.7.5 in How to Use the NAG Library and its Documentation for further information.

NE_REAL

On entry, $\mathbf{x}=〈\mathit{\text{value}}〉$.
Constraint: $-1.0\le \mathbf{x}\le 1.0$.

7

Accuracy

8

Parallelism and Performance

9

Further Comments

10

Example

10.1

Program Text

Program Text (d02uzce.c)

10.2

Program Data

Program Data (d02uzce.d)

10.3

Program Results

Program Results (d02uzce.r)