# PROGRAMS CONCERNING MATRICES IN BASIC

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

 SYSMAT.BAS SYSMAT.TXT TDLITTL.BAS TLINEAR.BAS TLINEAR.TXT LU.BAS NSBSLV.BAS INV_LU.BAS HOUSEHOLDER.BAS LU.TXT TBAND.BAS CGTST1.BAS TSPARSE.BAS SYSLIN.BAS TSYMSOL.BAS TCHOLY.BAS CHOLES.BAS TSEIDEL.BAS FSEIDEL.TXT DPLE.BAS DETER.BAS DETER1.BAS DETER2.BAS TFINDDET.BAS CARPOL.BAS CARPOL1.BAS CARPOL2.BAS CARPOL3.BAS TRIDIAG.BAS TSVBKSB.BAS TPWM.BAS TPWIMGT.BAS TJACOBI.BAS ELPROTD.PDF ELPROTD.BAS TTQL2.BAS ELPRO.BAS TTRED2.BAS TEST_HQR.BAS THQR.BAS TEPHJ.BAS TVANDER.BAS TOEPLITZ.BAS
Program Description

• 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)
• 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
• 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
• Solving a symmetric linear system by Cholesky method
• Inversion of a symmetric positive definite matrix by Cholesky method
• Solve a linear system by iterative Gauss Seidel method
• Explanation File for iterative Gauss Seidel method NEW
• 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
• 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
• 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
• 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
• Eigenvalues of a non symmetric real matrix by HQR algorithm
• 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

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