
Program Description
 Elementary operations and functions on complex numbers
 Test program of module above (COMPLEX2)
 Program to demonstrate the complex root counting subroutine
 Program to demonstrate the zero searching algorithm
 Explanation File of program Zcircle
 Roots of 2nd degree equation with complex coefficients
 Roots of 3rd degree equation with complex coefficients
 Roots of 4th degree equation with complex coefficients
 Calculate Function Gamma with a complex argument
 Calculate the complex exponential integral E1(z) with a complex argument
 Calculate the Psi function for a complex argument
 Calculate the Legendre polynomials of first kind for a complex argument
 Calculate the Legendre polynomials of second kind for a complex argument
 Calculate the Asociated Legendre Functions and their First Derivatives
for a Complex Argument
 Calculate the associated Legendre Functions of the Second Kind and their First
Derivatives for a Complex Argument
 Evaluation of a complex polynomial by Horner's rule
 Program to demonstrate the Newton root subroutine in the complex domain
 Explanation File of Program above (Znewton)
 Find all roots of a complex polynomial using Newton's iterative formulation
 Find all roots of a complex polynomial using Laguerre formulation in complex domain
 Module used by program below (Bauhuber's Method)
 This program uses Bauhuber's Method to find all real or complex roots of a polynomial
of degree n
 Program to demonstrate the complex domain Mueller's subroutine
 Explanation File of Program above (Zmueller)
 F90 module used by program below (COMPLEX1)
 Complex numbers calculator
 Solving a complex linear system by GaussJordan
 Lapack1.f90  Module used for complex LU decomposition
 Lapack2.f90  Utility module used by Lapack1 and Tcgesv.f90
 Lapack3.f90  Module used for complex band LU decomposition
 Solving a complex linear system by LU decomposition (using Lapack)
 Solving a complex band linear system by LU decomposition (using Lapack)
 Solving a complex linear system AX=B by GAUSSJORDAN Method
 Solving a complex homogeneous linear system by Gauss Method with full pivoting
 Solve a Complex Linear System By Gauss Method with full pivoting and correction process
 Module CLU used by Program below
 Solving a complex linear system by LU decomposition
 Inversion of a complex square matrix by LU decomposition
 Determinant of a complex square matrix By Gauss Method with full pivoting
 Determinant of a complex square matrix using function CFindDet NEW
 Calculate inverse of a complex square matrix by Gauss Method with full pivoting
 Eigenvalues and eigenvectors of a general complex square matrix
using QR algorithm
 Eigenvalues and eigenvectors of a general complex square matrix
using Jacobi method
