%0 Journal Article %T GERSCHGORIN TYPE THEOREM AND THE PERTURBATION OF THE EIGENVALUES OF SINGULAR PENCILS
Gerschgorin型定理与奇异束特征值的扰动 %A 孙继广 %J 计算数学 %D 1985 %I %X We obtain the Gerschgorin regions and the Gerschgorin disks for matrix pencilsfrom a general exclusion theorem. Then we apply a Gerschgorin type theorem to seekperturbation laws of eigenvalues, in the sense of probability, for a class of diagonalsingular matrix pencils. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=A78B3B4617699DC19839DE67FAACD3C5&yid=74E41645C164CD61&vid=DF92D298D3FF1E6E&iid=38B194292C032A66&sid=82722E2B785EBF0D&eid=7ABC4505E3960D2B&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0