MonicPolynomial

java.lang.Object

org.drip.function.definition.R1ToR1

org.drip.function.r1tor1.MonicPolynomial

public class MonicPolynomial
extends R1ToR1

MonicPolynomial implements the Multi-root R¹ to R¹ Monic Polynomial.

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

Author:: Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor Description

MonicPolynomial(double[] rootArray)
MonicPolynomial constructor

Method Summary

Modifier and Type	Method	Description
`double`	`evaluate(double x)`	Evaluate for the given variate
`double`	`logGammaProduct(int a, int b, R1ToR1 logGammaEstimator)`	Compute the Log Product over [a, a + 1, ..., b] of the Monic Polynomial
`double[]`	`rootArray()`	Retrieve the Array of Roots

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

antiDerivative, conditionNumber, derivative, 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
- MonicPolynomial
  
  public MonicPolynomial(double[] rootArray) throws java.lang.Exception
  
  MonicPolynomial constructor
  
  Parameters:
  
  rootArray - The Array of Roots
  
  Throws:
  
  java.lang.Exception - Thrown if the Inputs are invalid
Method Details
- rootArray
  
  public double[] rootArray()
  
  Retrieve the Array of Roots
  
  Returns:
  
  The Array of Roots
- 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
- logGammaProduct
  
  public double logGammaProduct(int a, int b, R1ToR1 logGammaEstimator) throws java.lang.Exception
  
  Compute the Log Product over [a, a + 1, ..., b] of the Monic Polynomial
  
  Parameters:
  
  a - a
  
  b - b
  
  logGammaEstimator - Log Gamma Estimator
  
  Returns:
  
  The Log Product over [a, a + 1, ..., b] of the Monic Polynomial
  
  Throws:
  
  java.lang.Exception - Thrown if the Inputs are Invalid