The solvable conditions of linear system over commutative semirings

被引：0
|
作者：
Shu, Qian-yu [1 ]
Wang, Xue-ping [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China
来源：
SOFT COMPUTING | 2019年 / 23卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Bideterminant; Linear system; The solvable condition; SEMILINEAR SPACES;
D O I：
10.1007/s00500-019-03758-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with the solution of linear system over commutative semirings. It uses the bideterminant of a matrix to investigate the solvable conditions of a system of linear equations and gives some necessary and sufficient conditions that a system of linear equations is solvable.
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页码：7591 / 7602
页数：12
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