Academic Journal
The forward rounding error analysis of the partial pivoting quaternion LU decomposition.
| Τίτλος: | The forward rounding error analysis of the partial pivoting quaternion LU decomposition. |
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| Συγγραφείς: | Zhang, Fengxia, Wei, Musheng, Li, Ying, Zhao, Jianli |
| Πηγή: | Numerical Algorithms; May2024, Vol. 96 Issue 1, p267-288, 22p |
| Θεματικοί όροι: | Quaternions, Linear systems, Arithmetic, Lutetium compounds |
| Περίληψη: | In this paper, we consider the forward rounding errors of the partial pivoting quaternion LU decomposition. To carry out error analysis of algorithms in quaternion arithmetic, we first propose the accuracy model for the basic quaternion arithmetic operations by the real structure-preserving method. And then, we study the forward rounding errors of the partial pivoting quaternion LU decomposition. Finally, by using the results of the forward rounding errors of the partial pivoting quaternion LU decomposition, we analyze the forward rounding errors of the nonsingular quaternion linear system. [ABSTRACT FROM AUTHOR] |
| Copyright of Numerical Algorithms is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Links: – Type: other Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s11075-023-01646-2 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
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| Items | – Name: Title Label: Title Group: Ti Data: The forward rounding error analysis of the partial pivoting quaternion LU decomposition. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Fengxia%22">Zhang, Fengxia</searchLink><br /><searchLink fieldCode="AR" term="%22Wei%2C+Musheng%22">Wei, Musheng</searchLink><br /><searchLink fieldCode="AR" term="%22Li%2C+Ying%22">Li, Ying</searchLink><br /><searchLink fieldCode="AR" term="%22Zhao%2C+Jianli%22">Zhao, Jianli</searchLink> – Name: TitleSource Label: Source Group: Src Data: Numerical Algorithms; May2024, Vol. 96 Issue 1, p267-288, 22p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Quaternions%22">Quaternions</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic%22">Arithmetic</searchLink><br /><searchLink fieldCode="DE" term="%22Lutetium+compounds%22">Lutetium compounds</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we consider the forward rounding errors of the partial pivoting quaternion LU decomposition. To carry out error analysis of algorithms in quaternion arithmetic, we first propose the accuracy model for the basic quaternion arithmetic operations by the real structure-preserving method. And then, we study the forward rounding errors of the partial pivoting quaternion LU decomposition. Finally, by using the results of the forward rounding errors of the partial pivoting quaternion LU decomposition, we analyze the forward rounding errors of the nonsingular quaternion linear system. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Numerical Algorithms is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11075-023-01646-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 267 Subjects: – SubjectFull: Quaternions Type: general – SubjectFull: Linear systems Type: general – SubjectFull: Arithmetic Type: general – SubjectFull: Lutetium compounds Type: general Titles: – TitleFull: The forward rounding error analysis of the partial pivoting quaternion LU decomposition. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Fengxia – PersonEntity: Name: NameFull: Wei, Musheng – PersonEntity: Name: NameFull: Li, Ying – PersonEntity: Name: NameFull: Zhao, Jianli IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 10171398 Numbering: – Type: volume Value: 96 – Type: issue Value: 1 Titles: – TitleFull: Numerical Algorithms Type: main |
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