几类允许代数正的符号模式矩阵OA北大核心CSTPCD
Several classes of sign pattern matrices that allow algebraic positivity
考虑三对角符号模式矩阵和爪形符号模式矩阵,讨论了三对角符号模式矩阵和爪形符号模式矩阵是否允许代数正.借助组合矩阵论和图论的方法,给出了这两类符号模式矩阵允许代数正的必要条件.最后,分别给出了 n阶三对角符号模式矩阵和n阶爪形符号模式矩阵允许代数正的等价条件.
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.
田岩;焦旸;于浩然
辽宁师范大学数学学院,辽宁大连 116029吉林大学数学学院,长春 130012
数学
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
sign pattern matrixallow algebraic positivitytridiagonal sign pattern matrixpaw form sign pattern matrix
《华东师范大学学报（自然科学版）》 2024 (002)
23-29 / 7
国家自然科学基金(12001225);辽宁省教育厅自然科学研究青年项目(LQ2020021)
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