
Program Description
 Utility F90 module used by programs concerning matrices
 Solving a linear matrix system AX=B by GaussJordan Method
 Explanation File of program above (Sysmat) NEW
 Solve a Linear System By Direct Factorization
 Solve a Linear System By Triangularization Method
 Explanation File of Program above (Tlinear)
 LU decomposition module called by program below
 Solving a linear matrix system AX=B by LU decomposition
 Solving a banded linear system AX=B By LU decomposition
 Inversion of a real square matrix by LU decomposition
 Inversion of a real square matrix by Householder's method NEW
 Explanation File of LU Method NEW
 Linear banded system using pivots
 Linear banded system without using pivots
 Solving a linear matrix system AX=B for a band matrix
 Module to solve a symmetric linear system by Conjugate Gradient method
 Conjugate Gradient method for a sparse symmetric linear system
 Demonstration program of Conjugate Gradient method
 Solving a symmetric linear system by Gauss method
 Solving a symmetric linear system by SYMSOL
 Solving a symmetric linear system by Cholesky method
 Inversion of a symmetric positive definite matrix by Cholesky method
 Module used by program below (Fseidel)
 Explanation File for iterative Gauss Seidel method NEW
 Solve a linear system by iterative Gauss Seidel method
 Solve AX = B using a partial pivoting algorithm and reduced storage
 Determinant of a real square matrix by Gauss method
 Determinant of a real square matrix by LU decomposition method
 Example data file for program below
 Determinant of a real square matrix by a recursive method based on Kramer's rule
 Calculate the determinant of a real square matrix using Function FindDet NEW
 Characteristic polynomial of a real square tridiagonal matrix
 Module concerning complex numbers used by program below
 Characteristic polynomial of a complex square matrix
 Characteristic polynomial of a real square matrix
 Characteristic polynomial of a real symmetric square matrix
 Solving a tridiagonal linear system
 Solving a linear system AX=B by the Singular Value Decomposition Method
 Greatest eigenvalue of a real square matrix by the power method
 Smallest eigenvalue of a real square matrix by the Gauss and power methods
 Subroutine Jacobi used by program below
 Eigenvalues and eigenvectors of a real symmetric square matrix
by Jacobi's method
 Explanation file of program below(ELPROTD) NEW
 Eigenvalues and eigenvectors of a real tridiagonal square matrix
 Find Eigenvalues and Eigenvectors of a symmetric tridiagonal matrix
using QL method
 Eigenvalues and eigenvectors of a real square matrix by Rutishauser's method
and inverse iteration method
 Find Eigenvalues and Eigenvectors of a symmetric real matrix using
Householder reduction and QL method
 Module used by program below
 Eigenvalues of a non symmetric real matrix by HQR algorithm
 Module used by program below
 Eigenvalues and eigenvectors of a non symmetric real matrix by HQR algorithm
 Calculate eigenvalues and eigenvectors of a Square Hermitian Matrix
By Jacobi's Method
 Solve a Vandermonde linear system NEW
 Solve a Toeplitz linear system NEW
