M-矩阵与其逆矩阵的Hadamard积最小特征值的新下界OA
New Lower Bounds for the Minimum Eigenvalue of the Hadamard Product of the M-matrix and Its Inverse Matrix
关于M-矩阵与其逆矩阵的Hadamard积A。A-1,给出A。A-1的最小特征值下界的一些新的估计式,新下界估计式只依赖于矩阵的元素,易于计算。算例表明,新估计式有效地改进了Fiedler和Markham的猜想,也改进了其它已有的结果。
For the Hadamard product A。A-1 of an M-matrix and its inverse matrix,some new lower bounds for the minimum eigenvalue of A。A-1 are given.The new estimating formulas of the lower bounds which only depend on the entries of M-matrix are easier to calculate.Numerical example shows that the new estimating formulas improve the Conjecture of Fiedler and Markham effectively,and also improve the other results in the literature.
刘新;杨晓英
四川信息职业技术学院基础教育部,四川广元628017四川信息职业技术学院基础教育部,四川广元628017
数学
Hadamard积M-矩阵最小特征值逆矩阵下界
Hadamard productM-matrixminimum eigenvalueinverse matrixlower bounds
《四川理工学院学报：自然科学版》 2012 (2)
84-87,4
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