On the Schur product ofH-matrices and non-negative matrices, and related inequalities
- 1 July 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 60 (3) , 425-431
- https://doi.org/10.1017/s0305004100037932
Abstract
1.Introduction. Let ℛndenote the set of alln×nmatrices with real elements, and letdenote the subset of ℛnconsisting of all real,n×n, symmetric positive-definite matrices. We shall use the notationto denote that minor of the matrixA= (aij) ∈ ℛnwhich is the determinant of the matrix TheSchur Product(Schur (14)) of two matricesA, B∈ ℛnis denned by whereA= (aij),B= (bij),C= (cij) and Let ϕ be the mapping of ℛninto the real line defined by for allA∈ ℛn, where, as in the sequel,.Keywords
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