Visual Studio Magazine

Computing the Determinant of a Matrix Using Gaussian Elimination to Row Echelon Form with C#

One of the fundamental operations in machine learning is computing the inverse of a square matrix. But not all matrices have an inverse. The most common way to check if a matrix has an inverse or not ...
IEEE

A Parallel Heuristic for Bandwidth Reduction Based on Matrix Geometry

Abstract: This paper proposes a parallel hybrid heuristic aiming the reduction of the bandwidth of sparse matrices. Mainly based on the geometry of the matrix, the proposed method uses a greedy ...
GitHub

BIBO9265/RREF-Linear-Solver

ORIGINAL MATRIX: [ [1.0000, 1.0000, 3.0000] [2.0000, 3.0000, 5.0000] ] RREF: [ [1.0000, 0.0000, 4.0000] [0.0000, 1.0000, -1.0000] ] RESULT: UNIQUE SOLUTION SOLUTION ...
Scientific Research Publishing

Sloan, S.W. (1986) An Algorithm for Profile and Wavefront Reduction of Sparse Matrices. International Journal for Numerical Methods in Engineering, 23, 239-251.

ABSTRACT: Node renumbering is an important step in the solution of sparse systems of equations. It aims to reduce the bandwidth and profile of the matrix. This allows for the speeding up of the ...
Scientific Research Publishing

Smyth, W.F. (1985) Algorithms for the Reduction of Matrix Bandwidth and Profile. Journal of Computational and Applied Mathematics, 12, 551-561.

ABSTRACT: Node renumbering is an important step in the solution of sparse systems of equations. It aims to reduce the bandwidth and profile of the matrix. This allows for the speeding up of the ...