# COMPLEX ROOTS IN BASIC

Choose a source program (*.bas) by clicking the appropriate button.

 TCOMPLEX.BAS ROOTNUM.BAS ZCIRCLE.BAS ZCIRCLE.PDF TEQUA2.BAS CROOT3.BAS TCROOT4.BAS MCGAMA.BAS ME1Z.BAS MCPSI.BAS MCLPN.BAS MCLQN.BAS MCLPMN.BAS MCLQMN.BAS CHORNER.BAS ZNEWTON.BAS ZNEWTON.TXT TNEWTON.BAS TCLAGUE.BAS TBAUHUBE.BAS ZMUELLER.BAS ZMUELLER.TXT UCOMPLEX.BAS ZMATSYS.BAS CSYSMAT.BAS RSHCGT.BAS TRSLCGTC.BAS CLU.BAS INV_CLU.BAS CDETMAT.BAS CFINDDET.BAS TICGT.BAS TCEIGEN.BAS TCOMEIG.BAS
Program Description
• Elementary operations and functions on complex numbers
• 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
• 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)
• Complex numbers calculator
• Solving a complex linear system AX=B by GAUSS-JORDAN 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
• 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

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