河南理工大学学报:自然科学版2011,Vol.30Issue(4):493-496,4.
矩阵的Hadamard积最小特征值的下界估计
Estimate of lower bounds for the minimum eigenvalue of Hadamard product of matrices
摘要
Abstract
Let A and B be nonsingular M matrices,this paper gives a new lower bound which is the minimum eigenvalue τ(B 。A-1) of the Hadamard product of A-1 and B by applying the famous Gerschgorin disc theorem,the bound improves several existing results and the estimating formula is easier to calculate for it is only depending on the entries of matries A and B.The given numerical example shows that estimating formulas of the bound is better than several known estimating formulas.关键词
M矩阵/Hadamard积/下界/最小特征值Key words
M matrix/Hadamard product/lower bounds/minimum eigenvalue分类
数理科学引用本文复制引用
崔润卿,司纪龙..矩阵的Hadamard积最小特征值的下界估计[J].河南理工大学学报:自然科学版,2011,30(4):493-496,4.基金项目
国家自然科学基金资助项目 ()
教育部博士点基金资助项目 ()