What are Schur complements, anyway? (Q1077488)
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scientific article; zbMATH DE number 3957320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What are Schur complements, anyway? |
scientific article; zbMATH DE number 3957320 |
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What are Schur complements, anyway? (English)
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1986
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This paper treats the Schur complement of a partitioned matrix whose use goes back more than 130 years. It shows how several modern manifestations of this concept can be viewed in a unified way. Classically, Schur complements can be used to determine the rank of partitioned matrices. More recently the concept of a generalized inverse has played a role in defining Schur complements and finding optimal ranks of partitioned matrices. Finally shorted and complementable matrices are treated from a Schur complement, Schur compression viewpoint.
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shorted matrix
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Schur complement
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rank
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partitioned matrices
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generalized inverse
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complementable matrices
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