On constructions of partially nonpositive matrices (Q1114789)
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scientific article; zbMATH DE number 4083826
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On constructions of partially nonpositive matrices |
scientific article; zbMATH DE number 4083826 |
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On constructions of partially nonpositive matrices (English)
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1989
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A square matrix is called partially non-positive if each of its principal minors is non-positive. Various properties of partially non-positive matrices related to the problem if the matrix is or can be transformed into a negative matrix are derived, e.g., it is shown that if A is a partially non-positive matrix and all off-diagonal elements are non-zero, then there is a diagonal matrix S with \(+1\) or -1 in the diagonal such that SAS is negative.
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partially non-positive
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negative matrix
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