Matrix Inverse as by-Product of Determinant

Chang, Feng Cheng (2015) Matrix Inverse as by-Product of Determinant. British Journal of Mathematics & Computer Science, 12 (4). pp. 1-21. ISSN 22310851

[thumbnail of Chang1242015BJMCS21918.pdf] Text
Chang1242015BJMCS21918.pdf - Published Version

Download (198kB)

Abstract

The determinant of a given square matrix is obtained as the product of pivot elements evaluated via the iterative matrix order condensation. It follows as the by-product that the inverse of this matrix is then evaluated via the iterative matrix order expansion. The fast and straightforward basic iterative procedure involves only simple elementary arithmetical operations without any high mathematical process. Remarkably, the revised optimal iterative process will compute without failing the inverse of any square matrix within minutes, be it real or complex, singular or nonsingular, and amazingly enough even for size as huge as 999x999. The manually extended iteration process is also developed to shorten the iteration process steps.

Item Type: Article
Subjects: Grantha Library > Mathematical Science
Depositing User: Unnamed user with email support@granthalibrary.com
Date Deposited: 11 Jul 2023 05:04
Last Modified: 19 Sep 2024 09:22
URI: http://asian.universityeprint.com/id/eprint/1044

Actions (login required)

View Item
View Item