Special.Chebyshev TSequence Method
Definition
Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Chebyshev | Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree and returns the result in the specified span. |
Chebyshev | Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree and returns the result in the specified vector. |
Chebyshev | Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree starting at the specified degree and returns the result in the specified span. |
Chebyshev | Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree starting at the specified degree and returns the result in the specified vector. |
ChebyshevTSequence(Double, Span<Double>)
Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree
and returns the result in the specified span.
public static void ChebyshevTSequence(
double x,
Span<double> result
)
Parameters
ChebyshevTSequence(Int32, Double, Vector<Double>)
Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree
and returns the result in the specified vector.
public static Vector<double> ChebyshevTSequence(
int length,
double x,
Vector<double>? result = null
)
Parameters
- length Int32
- The length of the sequence.
- x Double
- A real number.
- result Vector<Double> (Optional)
- Optional. The vector that is to hold the result. May be null.
Return Value
Vector<Double>The vector result, which contains length values of the Chebyshev polynomial of the first kind of increasing orders starting from zero evaluated at x.
Exceptions
Argument | length is less than zero. |
ChebyshevTSequence(Int32, Double, Span<Double>)
Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree
starting at the specified degree and returns the result in the specified span.
public static void ChebyshevTSequence(
int startDegree,
double x,
Span<double> result
)
Parameters
Exceptions
Argument | startDegree is less than zero. |
ChebyshevTSequence(Int32, Int32, Double, Vector<Double>)
Evaluates a sequence of Chebyshev polynomials of the first kind of increasing degree
starting at the specified degree and returns the result in the specified vector.
public static Vector<double> ChebyshevTSequence(
int startDegree,
int length,
double x,
Vector<double>? result = null
)
Parameters
- startDegree Int32
- An integer that specifies the first degree in the sequence.
- length Int32
- The length of the sequence.
- x Double
- A real number.
- result Vector<Double> (Optional)
- The vector that is to hold the result. May be null.
Return Value
Vector<Double>The vector result, which contains length values of the Chebyshev polynomial of the first kind of increasing orders starting from startDegree evaluated at x.
Exceptions
Argument | startDegree is less than zero. -or- length is less than zero. |