淮阴师范学院学报(自然科学版)
淮陰師範學院學報(自然科學版)
회음사범학원학보(자연과학판)
JOURNAL OF HUAIYIN TEACHERS COLLEGE (NATURAL SCIENCE EDITION)
2014年
3期
206-209,222
,共5页
周平%高美平%李艳艳
週平%高美平%李豔豔
주평%고미평%리염염
M-矩阵%对角占优%双随机%Hadamard积%最小特征值
M-矩陣%對角佔優%雙隨機%Hadamard積%最小特徵值
M-구진%대각점우%쌍수궤%Hadamard적%최소특정치
M-matrix%diagonally dominant%doubly stochastic%hadamard product%smallest eigenvalue
对两个非奇异M-矩阵的Hadamard积的最小特征值下界做进一步研究,给出在不同情况下τ(B°A-1)和τ(A°A-1)的新估计式;并从理论上证明了新估计式在一定条件下改进了现有文献的结果;算例验证表明估计式提高了已有估计式的估计精确度。
對兩箇非奇異M-矩陣的Hadamard積的最小特徵值下界做進一步研究,給齣在不同情況下τ(B°A-1)和τ(A°A-1)的新估計式;併從理論上證明瞭新估計式在一定條件下改進瞭現有文獻的結果;算例驗證錶明估計式提高瞭已有估計式的估計精確度。
대량개비기이M-구진적Hadamard적적최소특정치하계주진일보연구,급출재불동정황하τ(B°A-1)화τ(A°A-1)적신고계식;병종이론상증명료신고계식재일정조건하개진료현유문헌적결과;산례험증표명고계식제고료이유고계식적고계정학도。
For the Hadamard product of two nonsingular M-matrices is further research, and some new lower bounds of τ( B°A-1 ) and τ( A°A-1 ) are given in different situations.It is proved that the new estimating for-mulas improve the results of the current in some cases;numerical example show that these formulas are more accurate than several existing results.