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- W2009356569 abstract "We investigate the similarity between positive definite matrices and M-matrices. Some well-known in-equalities for positive definite matrices are shown to be true for M-matrices. Main results are analogs of the Minkowski, Bergstrom and Fan inequalities for the difference of two M-matrices. Let A B be M-matrices of order n. If A−B is an inverse M-matrix, then and where A(i)B(i) denote the principal submatrices obtained by deleting the ith row and column, and more generally for k=1,2,…n, where A (k) B (k) denote the principal submatrices obtained by deleting the first k rows and columns. For positive definite matrices A B, where A − B is a positive definite matrix, the above inequalities are due to Minkowski, Bergstrom and Fan respectively." @default.
- W2009356569 created "2016-06-24" @default.
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- W2009356569 date "1993-03-01" @default.
- W2009356569 modified "2023-09-26" @default.
- W2009356569 title "Analog of the minkowski inequality for the difference of twoM-matrices∗" @default.
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- W2009356569 doi "https://doi.org/10.1080/03081089308818217" @default.
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