In-Place Matrix Inversion by Modified Gauss-Jordan Algorithm

A fast parallel Gauss Jordan algorithm for matrix inversion using CUDA

The ability to invert large matrices quickly and accurately determines the effectiveness of a computational tool. Current literature suggests that time complexity of matrix inversion is 2 or higher. This paper redesigns the Gauss Jordan algorithm for matrix inversion on a CUDA platform to exploit the large scale parallelization feature of a massively multithreaded GPU. The algorithm is tested f...

A Parallel Method for Matrix Inversion Based on Gauss-jordan Algorithm

The inversion of matrix is widely used in many scientific applications and engineering calculations and this operation requires a large number of computational efforts and storage space. In order to reduce the consumed time and to increase efficiency, a parallel algorithm for matrix inversion based on classic Gauss-Jordan elimination with pivoting is proposed. Upon the multi-core DSPs platform,...

Gauss elimination algorithm for interval matrix

Gauss-Jordan Algorithm and Its Applications

In this contribution, we present a formalization of the well-known Gauss-Jordan algorithm. It states that any matrix over a field can be transformed by means of elementary row operations to a matrix in reduced row echelon form. The formalization is based on the Rank Nullity Theorem entry of the AFP and on the HOL-Multivariate-Analysis session of Isabelle, where matrices are represented as funct...

Speed Enhancement on a Matrix Inversion Hardware Architecture Based on Gauss-jordan Elimination Oh Eng Wei Universiti Teknologi Malaysia Speed Enhancement on a Matrix Inversion Hardware Architecture Based on Gauss-jordan Elimination Oh Eng Wei

Matrix inversion is a mathematical algorithm that is widely used and applied in many real time engineering applications. It is one of the most computational intensive and time consuming operations especially when it is performed in software. Gauss-Jordan Elimination is one of the many matrix inversion algorithms which has the advantage of using simpler mathematical operations to get the result....