Package org.drip.function.matrix

Class Square

java.lang.Object
org.drip.function.matrix.Square
public class Square
extends java.lang.Object
Square implements a Square Matrix. The References are:

  • Claerbout, J. F. (1985): Fundamentals of Geo-physical Data Processing Blackwell Scientific
  • Horn, R. A., and C. R. Johnson (1991): Topics in Matrix Analysis Cambridge University Press
  • Schwerdtfeger, A. (1938): Les Fonctions de Matrices: Les Fonctions Univalentes I Hermann Paris, France
  • Sylvester, J. J. (1883): On the Equation to the Secular Inequalities in the Planetary Theory The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 16 (100) 267-269
  • Wikipedia (2019): Sylvester Formula https://en.wikipedia.org/wiki/Sylvester%27s_formula




Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    Square​(double[][] grid)
    Square Constructor

  • Method Summary

    Modifier and Type Method Description
    double determinant()
    Compute the Determinant
    int dimension()
    Retrieve the Dimension of the Square Matrix
    EigenOutput eigenize()
    Retrieve the Eigen-Components of the Square Matrix
    double[][] evaluate​(R1ToR1 r1ToR1Function)
    Compute the Value of the Matrix using the specified Function
    FrobeniusCovariance frobeniusCovariance()
    Generate the Frobenius Covariance
    double[][] grid()
    Retrieve the Grid of Elements

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • Square

      public Square​(double[][] grid) throws java.lang.Exception
      Square Constructor
      Parameters:
      grid - Grid of Elements
      Throws:
      java.lang.Exception - Throwjn if the Inputs are Invalid

  • Method Details

    • grid

      public double[][] grid()
      Retrieve the Grid of Elements
      Returns:
      Grid of Elements

    • dimension

      public int dimension()
      Retrieve the Dimension of the Square Matrix
      Returns:
      Dimension of the Square Matrix

    • eigenize

      public EigenOutput eigenize()
      Retrieve the Eigen-Components of the Square Matrix
      Returns:
      The Eigen-Components of the Square Matrix

    • frobeniusCovariance

      public FrobeniusCovariance frobeniusCovariance()
      Generate the Frobenius Covariance
      Returns:
      The Frobenius Covariance

    • evaluate

      public double[][] evaluate​(R1ToR1 r1ToR1Function)
      Compute the Value of the Matrix using the specified Function
      Parameters:
      r1ToR1Function - The R1 To R1 Function
      Returns:
      The Function Matrix Value

    • determinant

      public double determinant()
      Compute the Determinant
      Returns:
      The Determinant