Open AccessStepwise Inversion of Large Matrices with the Gauss-Jordan Vector Transformation
Author(s) -
Leon Bobrowski,
Cezary Bołdak
Publication year - 2022
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2022/v37i130429
Subject(s) - inversion (geology) , demonstrative , gauss , gaussian elimination , transformation matrix , transformation (genetics) , algorithm , computer science , matrix (chemical analysis) , mathematics , geology , gaussian , physics , classical mechanics , seismology , linguistics , philosophy , biochemistry , chemistry , materials science , kinematics , quantum mechanics , gene , composite material , tectonics
Data mining methods often include matrix inversion tasks. Big data mining requires fast and accurate inversion of high-dimensional arrays. The presented work describes the concept of stepwise matrix inversion using the basis exchange algorithm based on the Gauss-Jordan vector transformation. The article also includes a demonstrative numerical example.