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Program Description
- Utility routines used by some programs concerning matrices
- Solving a linear matrix system AX=B by Gauss-Jordan 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 unit called by program below
- Program to solve a linear 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
- Solving a symmetric linear system by Conjugate Gradient method
- Conjugate Gradient method for a sparse symmetric linear system
- Solving a symmetric linear system by Gauss method
- Solving a symmetric linear system by SYMSOL
- Cholesky method unit used by program below
- Solving a symmetric linear system by Cholesky method
- Inversion of a symmetric positive definite matrix by Cholesky method
- Unit used by profram below
- 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 matix by Gauss method
- Determinant of a real square matrix by LU decomposition method
- 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
- Unit 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
- Eigenvalues and eigenvectors of a real symmetric square matrix
by Jacobi's method (unit ujacobi.pas)
- Program to demonstrate the use of unit ujacobi.pas
- 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
- Find Eigenvalues and Eigenvectors of a symmetric real matrix using
Householder reduction and QL method
- Eigenvalues and eigenvectors of a real square matrix by Rutishauser's
method and inverse iteration method
- Collection of procedures used by program below
- Eigenvalues of a non symmetric real matrix by QR algorithm
- Unit used by program below
- Eigenvalues and eigenvectors of a non symmetric real matrix by QR 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
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