Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2014
Abstract
In this book authors for the first time introduce the notion of distance between any two m n matrices. If the distance is 0 or m n there is nothing interesting. When the distance happens to be a value t; 0 < t < m n the study is both innovating and interesting. The three cases of study which is carried out in this book are 1. If the difference between two square matrices is large, will it imply the eigen values and eigen vectors of those matrices are distinct? Several open conjectures in this direction are given. 2. The difference between parity check matrix and the generator matrix for the same C(n, k) code is studied. This will help in detecting errors in storage systems as well as in cryptography.
Publisher
EuropaNova ASBL, Brussels
ISSN
978-1-59973-315-9
Language (ISO)
English
Keywords
data storage, cryptography, matrices, neutrosophic model, fuzzy model
Recommended Citation
Smarandache, Florentin; W.B. Vasantha Kandasamy; and K. Ilanthenral. "Distance in Matrices and Their Applications to Fuzzy Models and Neutrosophic Models." (2014). https://digitalrepository.unm.edu/math_fsp/227
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Algebra Commons, Analysis Commons, Data Storage Systems Commons, Discrete Mathematics and Combinatorics Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Set Theory Commons
