Exponential

java.lang.Object

org.drip.function.definition.R1ToR1

org.drip.function.r1tor1operator.Exponential

public class Exponential
extends R1ToR1

Addition implements the Univariate x + a Operator Function. The References are:

Belsley, D. A., E. Kuh, and R. E. Welsch (1980): Regression Dynamics: Identifying Influential Data and Sources of Collinearity John Wiley and Sons New York NY
Cheney, K. (2008): Numerical Mathematics and Computing Cengage Learning New York NY
Pesaran, M. H. (2015): Time Series and Panel Data Econometrics Oxford University Press New York NY
Trefethen, L. N., and D. Bau III (1997): Numerical Linear Algebra Society for Industrial and Applied Mathematics Philadelphia PA
Wikipedia (2024): Condition Number https://en.wikipedia.org/wiki/Condition_number

Module = Computational Core Module
Library = Numerical Analysis Library
Project = R^d To R^d Function Analysis
Package = Built-in R¹ To R¹ Operator Functions

Author:: Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor Description

Exponential()
Exponential Constructor

Method Summary

Modifier and Type	Method	Description
`double`	`conditionNumber(double x)`	Compute the Condition Number at the specified Variate
`double`	`derivative(double x, int order)`	Calculate the derivative as a double
`double`	`evaluate(double x)`	Evaluate for the given variate

Methods inherited from class org.drip.function.definition.R1ToR1

antiDerivative, differential, differential, integrate, maxima, maxima, minima, minima, poleResidue

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details
- Exponential
  
  public Exponential() throws java.lang.Exception
  
  Exponential Constructor
  
  Throws:
  
  java.lang.Exception - Thrown if the Input is Invalid
Method Details
- evaluate
  
  public double evaluate(double x) throws java.lang.Exception
  
  Description copied from class: R1ToR1
  
  Evaluate for the given variate
  
  Specified by:
  
  evaluate in class R1ToR1
  
  Parameters:
  
  x - Variate
  
  Returns:
  
  Returns the calculated value
  
  Throws:
  
  java.lang.Exception - Thrown if evaluation cannot be done
- derivative
  
  public double derivative(double x, int order) throws java.lang.Exception
  
  Description copied from class: R1ToR1
  
  Calculate the derivative as a double
  
  Overrides:
  
  derivative in class R1ToR1
  
  Parameters:
  
  x - Variate at which the derivative is to be calculated
  
  order - Order of the derivative to be computed
  
  Returns:
  
  The Derivative
  
  Throws:
  
  java.lang.Exception - Thrown if Inputs are Invalid
- conditionNumber
  
  public double conditionNumber(double x) throws java.lang.Exception
  
  Description copied from class: R1ToR1
  
  Compute the Condition Number at the specified Variate
  
  Overrides:
  
  conditionNumber in class R1ToR1
  
  Parameters:
  
  x - Variate
  
  Returns:
  
  The Condition Number
  
  Throws:
  
  java.lang.Exception - Thrown if the Condition Number cannor be computed