Welcome to Adams/Solver Subroutines - Kxcad.net

22
Adams/Solver
Input Arguments
x A double-precision variable that specifies the independent variable.
x0 A double-precision variable that specifies a shift in the Chebyshev
polynomial.
par A double-precision array of coefficients (a0,...,an).
npar An integer variable that specifies the number of coefficients specified.
iord An integer variable that specifies the order of the derivative that CHEBY
is to return. IORD can be zero, one, or two.
Output Arguments
value A double-precision value the subroutine returns. The table below
summarizes the value it returns:
errflg A logical (true or false) variable that CHEBY returns to the calling
subroutine. If CHEBY detects an error in the subroutine call statement,
it sets errflg to true before it returns errflg to the calling subroutine.
Extended Definition
CHEBY evaluates a Chebyshev polynomial. The following equation defines CHEBY:
where:
and:
0
1
2
,
IORD: Value:
F( x)
∂ F( x)
--------------
∂ x
∂ F 2 ( x)
∂ x 2
----------------
Tj( x – x0) – 2 ⋅( x – x0) ⋅Tj
– 1( ( x – x0) ⋅Tj
– 2( x – x0) )
T0( x – x0) =
1
,