A Generalized Matrix Multiplication Scheme based on the Concept of Embedding Dimension and Associated Spacer Matrices

Authors : Debopam Ghosh

Volume/Issue : Volume 6 - 2021, Issue 1 - January

Google Scholar : http://bitly.ws/9nMw

Scribd : https://bit.ly/3d11ffn

The article presents a Generalized Matrix Multiplication scheme that allows Non-compatible matrices to be multiplied using Spacer matrices, which are unique for every possible pair of nonconforming dimensions. The article presents an approach to define positive integral powers of strictly rectangular complex matrices and thereby define subspaces of the Complex Matrix space using these matrix powers to constitute the pertinent spanning sets. The mathematical formalism is presented and Illustrated with numerical examples

Keywords : Matrix Multiplication, Generalized Matrix Multiplication, Embedding Dimension, Spacer Matrix, Components of the Spacer Matrix


Paper Submission Last Date
31 - October - 2021

Paper Review Notification
In 1-2 Days

Paper Publishing
In 2-3 Days

Never miss an update from Papermashup

Get notified about the latest tutorials and downloads.

Subscribe by Email

Get alerts directly into your inbox after each post and stay updated.

Subscribe by RSS

Add our RSS to your feedreader to get regular updates from us.