An algebraic model for the propagation of errors in matrix calculus
We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group. The algebraic properties of external numbers formalize common error analysis,...
| 出版年: | Special Matrices |
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| 主要な著者: | , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
De Gruyter
2020-03-01
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1515/spma-2020-0008 |
| 要約: | We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group. The algebraic properties of external numbers formalize common error analysis, with rules for calculation which are a sort of mellowed form of the axioms for real numbers. |
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| ISSN: | 2300-7451 |