Package org.drip.sample.tridiagonal

Class PeriodicShermanMorrisonSolver

java.lang.Object
org.drip.sample.tridiagonal.PeriodicShermanMorrisonSolver
public class PeriodicShermanMorrisonSolver
extends java.lang.Object
PeriodicShermanMorrisonSolver shows the Usage of Sherman-Morrison Solver for Tridiagonal Matrices with Periodic Boundary Conditions. The References are:

  • Batista, M., and A. R. A. Ibrahim-Karawia (2009): The use of Sherman-Morrison-Woodbury formula to solve cyclic block tridiagonal and cyclic block penta-diagonal linear systems of equations Applied Mathematics of Computation 210 (2) 558-563
  • Datta, B. N. (2010): Numerical Linear Algebra and Applications 2nd Edition SIAM Philadelphia, PA
  • Gallopoulos, E., B. Phillippe, and A. H. Sameh (2016): Parallelism in Matrix Computations Spring Berlin, Germany
  • Ryaben’kii, V. S., and S. V. Tsynkov (2006): Theoretical Introduction to Numerical Analysis Wolters Kluwer Aalphen aan den Rijn, Netherlands
  • Wikipedia (2024): Tridiagonal Matrix Algorithm https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm




Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    PeriodicShermanMorrisonSolver()  

  • Method Summary

    Modifier and Type Method Description
    static void main​(java.lang.String[] argumentArray)
    Entry Point

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • PeriodicShermanMorrisonSolver

      public PeriodicShermanMorrisonSolver()

  • Method Details

    • main

      public static final void main​(java.lang.String[] argumentArray) throws java.lang.Exception
      Entry Point
      Parameters:
      argumentArray - Command Line Argument Array
      Throws:
      java.lang.Exception - Thrown on Error/Exception Situation