THE SQUARE ROOT OF H-MATRIX

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作者：
Chen WenxiangDepartment of Mechanical and Electrical EngineeringXiamen UniversityXiamen PRCLu LinDeptof MathXiamen UniversityXiamen PRCLiu ZhongyunDeptof MathShanghai UniversityShanghai PRC [361005 ,361005 ,201800 ]
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Numerical Mathematics A Journal of Chinese Universities(English Series) | 2000年 / English Series期
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O151.21 [矩阵论];
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摘要：
<正> 1 IntroductionLet A∈Cn×n, B∈Cn×n.We say B is a square root of A if A=B×B i.e.A=B2.It is well-known that any symmetric positive definite matrix exists one and only onesquare root which is a symmetric positive definite matrix,too（e.g.see[5]）.Higham[4]studied carefully the relation of a real nonsingular matrix between its real square rootsand its eigenvalues.Alefeld and Schneider[1]pointed out that for any nonsingular M-ma-trix there is one and only one M-matrix as its square root.In this paper,we study on a
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页码：40 / 43
页数：4
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