| ||A~(-1)||_∞ AND EQUIDIAGONAL-DOMINANCE |
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| 引用本文： | 胡家赣,刘兴平.||A~(-1)||_∞ AND EQUIDIAGONAL-DOMINANCE[J].应用数学学报(英文版),1998(4). |
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| 作者姓名： | 胡家赣 刘兴平 |
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| 作者单位： | Institute of Applied Physics and Computational Mathematics，Beijing 100088，China |
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| 摘 要： | 1.IntroductionInpracticeitisoftennecessarytoestimatethenormilA--'llooofamatrixA.In1]and2]anestimateisgiven,undertheconditionwherenistheorderofthemainsA~(ail).Thecondition(2)indicatesthatAisastrictlydiagonallydominantmatrix.In31wegeneralize(1)toTheleftinequalityholds,whenMisanL-matrix,lmiil>,F.Imijlforevery1andN=(nil)20.Theestimate(1)is,infact,anestimateofIIi(A)--'lloo,wherem(A)isthecomparativemainsofA4].LetD=diagA,B=D--A.Thenm(A)=IDI--IBIandwhen(2)holds.Ingeneral,wetaketheuppe…
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| 关 键 词： | ||A~(-1)||_∞ norm inverse of matrix equidiagonal dominance |
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