华东师范大学学报（自然科学版）Issue(2)：23-29,7.DOI:10.3969/j.issn.1000-5641.2024.02.003
几类允许代数正的符号模式矩阵
Several classes of sign pattern matrices that allow algebraic positivity
摘要
Abstract
Tridiagonal sign pattern matrices and paw form sign pattern matrices were analyzed with respect to their potential for ensuring algebraic positivity.The necessary conditions allowing algebraic positivity of the two classes of sign pattern matrices were given using combinatorial matrix theory and graph theory.Finally,the equivalent conditions that would ensure algebraic positivity of tridiagonal sign pattern matrices and paw form sign pattern matrices of order n were determined.关键词
符号模式矩阵/允许代数正/三对角符号模式矩阵/爪形符号模式矩阵Key words
sign pattern matrix/allow algebraic positivity/tridiagonal sign pattern matrix/paw form sign pattern matrix分类
数理科学引用本文复制引用
田岩,焦旸,于浩然..几类允许代数正的符号模式矩阵[J].华东师范大学学报（自然科学版）,2024,(2):23-29,7.基金项目
国家自然科学基金(12001225) （12001225）
辽宁省教育厅自然科学研究青年项目(LQ2020021) （LQ2020021）
