A mathematical design of genetic operators on \(\mathrm{GL}_n(\mathbb Z_2)\)
type: Item
instance of: scholarly article
title: A mathematical design of genetic operators on \(\mathrm{GL}_n(\mathbb Z_2)\)
zbMATH Open document ID: 1407.94063
DOI: 10.1155/2014/540936
author: Yourim Yoon
author: Yong-Hyuk Kim
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We study the space that consists of all nonsingular binary matrices, that is, \(\mathrm{GL}_n(\mathbb Z_2)\). The space is quite important in that it is used for the change of basis in binary representation, which is the encoding typically adopted in genetic algorithms. We analyze the properties of \(\mathrm{GL}_n(\mathbb Z_2)\) and theoretically design possible encodings and their corresponding recombination operators for evolutionary algorithms. We present approaches based on elementary matrices of linear algebra as well as typical two-dimensional ones.
Mathematics Subject Classification ID: 94A29
Mathematics Subject Classification ID: 15B34
zbMATH DE Number: 7016704
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/540936
OpenAlex ID: W2033410081
Wikidata QID: Q59068410
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description: scientific article; zbMATH DE number 7016704