摘要
研究了非奇异块H-矩阵的判定问题,利用广义块α1-严格对角占优矩阵的定义,块α1-严格对角占优定理,使用反证法和构造性证明法,得到了非奇异块H-矩阵新的判据。
The paper studies the judgment problem of nonsingular blockH-matrices and obtains new criteria of nonsingular blockH-matrices by using the deifnition of generalized block strict-diagonal-dominant matrices, block strict-diagonal-dominant theorem and the methods of the reduction to absurdity and the construction veriifcation.
出处
《文山学院学报》
2015年第3期49-51,共3页
Journal of Wenshan University
基金
云南省教育厅科研基金项目"几类对角占优矩阵的逆矩阵范数的界的估计"(2013Y585)
文山学院重点学科"数学"建设项目(12WSXK01)
关键词
广义块严格对角占优矩阵
非奇异块H-矩阵
块α1-严格对角占优矩阵
正对角矩阵
generalized block strict-diagonal-dominant matrix
nonsingular blockH-matrices
block strict-diagonal-dominant matrices
positive diagonal matrices