Accurate solution of dense linear systems. II: Algorithms using directed rounding (Q1932771)
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scientific article; zbMATH DE number 6127784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Accurate solution of dense linear systems. II: Algorithms using directed rounding |
scientific article; zbMATH DE number 6127784 |
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Accurate solution of dense linear systems. II: Algorithms using directed rounding (English)
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21 January 2013
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The author investigates how extra-precise evaluation of dot products can be used to solve ill-conditioned linear systems rigorously and accurately. Moreover, in this Part II of it they use directed rounding to nearest and methods different from the four basic floating-point operations. For Part I see [ibid. 242, 157--184 (2013; Zbl 1255.65084)].
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linear systems
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data with tolerances
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inner bounds
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(extremely) ill-conditioned matrices
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rigorous error bounds
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ill-conditioned linear systems
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