Visual Studio Magazine

Matrix Inverse Using Cayley-Hamilton with C#

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...
Visual Studio Magazine

Matrix Inverse Using Newton Iteration with C#

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...
Monash University

Matrix multiplication and inverses

Matrix multiplication involves the multiplication of two matrices to produce a third matrix – the matrix product. This allows for the efficient processing of multiple data points or operations ...
Scientific Research Publishing

Computing the Moore-Penrose Inverse of a Matrix Through Symmetric Rank-One Updates ()

This paper presents a recursive procedure to compute the Moore-Penrose inverse of a matrix A. The method is based on the expression for the Moore-Penrose inverse of rank-one modified matrix. The ...
IEEE

A Rank-Preserving Generalized Matrix Inverse for Consistency With Respect to Similarity

Abstract: There has recently been renewed recognition of the need to understand the consistency properties that must be preserved when a generalized matrix inverse is required. The most widely known ...