Category: Matrix Algebra

Blog Entry © Monday, October 14, 2024, Real Eigenvalues and Eigenvectors of a 4 x 4 Tridiagonal Matrix and Solutions of a 4 x 4 System Using the Same Tridiagonal Matrix by James Pate Williams, Jr.

Two methods of solving linear systems of equations are explored in this blog. The methods are the Gauss-Seidel method and the Jacobi iteration.

Blog Entry Monday October 14 2024Download

Blog Entry (c) Wednesday, October 2, 2024, by James Pate Williams, Jr. First Order Coupled Ordinary Differential Equations

First Order Coupled ODEDownload

Blog Entry (c) Saturday, August 10, 2024, by James Pate Williams, Jr. The LLL Lattice Reduction Algorithm

LLL Algorithm OutputDownload
LLLSubsetSumCSourceCodeDownload

Blog Entry Sunday, June 16, 2024 (c) James Pate Williams, Jr. Chapter 4 Matrices and Systems of Linear Equations from a Textbook by S. D. Conte and Carl de Boor

chapter-4-matrices-and-systems-of-linear-equationsDownload
chapter-4-matrices-and-systems-of-linear-equations-c-source-codeDownload

Blog Entry June 3-4, 2024, (c) James Pate Wiliams, Jr., Solution of Tridiagonal Matrix Problems

The first solution is from the textbook, Elementary Numerical Analysis: An Algorithmic Approach (c) 1980 by S. D. Conte and Carl de Boor. I translated the FORTRAN code to vanilla C using Visual Studio 2019 Community Version. The second solution is from Boundary Value Problems Second Edition (c) 1979 by David L. Powers. It solves a simple second order linear ordinary differential equation using the finite element difference equation method.

tridiagonal-problems-4Download
tridiagonal-problems-c-source-code-4Download