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- W1991961681 abstract "This paper concerns with the properties of Hadamard product of inverse M-matrices. Structures of tridiagonal inverse M-matrices and Hessenberg inverse M-matrices are analysed. It is proved that the product A ○ AT satisfies Willoughby's necessary conditions for being an inverse M-matrix when A is an irreducible inverse M-matrix. It is also proved that when A is either a Hessenberg inverse M-matrix or a tridiagonal inverse M-matrix then A ○ AT is an inverse M-matrix. Based on these results, the conjecture that A ○ AT is an inverse M-matrix when A is an inverse M-matrix is made. Unfortunately, the conjecture is not true. Copyright © 2004 John Wiley Sons, Ltd." @default.
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- W1991961681 date "2004-04-19" @default.
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- W1991961681 title "Properties of Hadamard product of inverse M -matrices" @default.
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- W1991961681 doi "https://doi.org/10.1002/nla.364" @default.
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