Criteria for the nonsingularity of partitioned matrices (Q1262924)
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scientific article; zbMATH DE number 4125581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria for the nonsingularity of partitioned matrices |
scientific article; zbMATH DE number 4125581 |
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Criteria for the nonsingularity of partitioned matrices (English)
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1989
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The sufficient conditions (not criteria) for nonsingularity are analogues for partitioned matrices of familiar diagonal dominance theorems, using Euclidean operator norms of off-diagonal blocks and least singular values of diagonal blocks. These are used to develop conditions for positive definiteness and stability.
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nonsingularity
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partitioned matrices
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diagonal dominance theorems
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Euclidean operator norms
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singular values
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positive definiteness
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stability
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