Matrix inequalities in the Lowner ordering by means of Schur complement and block matrices (Q2224268)
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| Language | Label | Description | Also known as |
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| English | Matrix inequalities in the Lowner ordering by means of Schur complement and block matrices |
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Matrix inequalities in the Lowner ordering by means of Schur complement and block matrices (English)
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3 February 2021
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Summary: It has been evident that a Schur complement plays an important role in many aspects of matrix theory, in statistics, as well as in applied mathematics. The purpose of this article is to present a family of matrix inequalities involving the Kronecker product, Hadamard product and ordinary sum. Our theorems contain or extend some existing known results.
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Schur complement
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block matrix
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Hadamard product
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Kronecker product
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Lowner ordering
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matrix inequality
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Moore-Penrose inverse
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Khatri-Rao product
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