吉林大学学报（理学版）2024，Vol.62Issue(4)：774-780,7.DOI:10.13413/j.cnki.jdxblxb.2023366
非奇异H-矩阵的一组新判据
A New Set of Criteria for Nonsingular H-Matrices
摘要
Abstract
Based on the generalized strictly α-diagonally dominant matrices and its related concepts and properties,by dividing the matrix index set,forming corresponding positive diagonal factors and setting new parameters,we gave a set of practical new criteria for nonsingular H-matrices,expanding the judgment range of nonsingular H-matrices.Finally,numerical examples were used to illustrate the effectiveness of the new criterion.关键词
非奇异H-矩阵/广义严格α-对角占优矩阵/不可约α-对角占优矩阵/具有非零元素链的α-对角占优矩阵Key words
nonsingular H-matrix/generalized strictly α-diagonally dominant matrix/irreducibleα-diagonally dominant matrix/α-diagonal dominant matrix with a nonzero elements chain分类
数理科学引用本文复制引用
陶汶琪,李敏,桑海风,刘畔畔..非奇异H-矩阵的一组新判据[J].吉林大学学报（理学版）,2024,62(4):774-780,7.基金项目
国家自然科学基金(批准号:11701013)、吉林省教育厅科学技术研究项目(批准号:JJKH20170022KJ)和吉林省教育科学"十三五"规划一般项目(批准号:GH19057). （批准号:11701013）
