Properties of best approximations with respect to the Ky Fan p-k norm, and the strict spectral approximant of a matrix.
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| Title: | Properties of best approximations with respect to the Ky Fan p-k norm, and the strict spectral approximant of a matrix. |
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| Authors: | Grover, Priyanka1 (AUTHOR) priyanka.grover@snu.edu.in, Gupta, Krishna Kumar1 (AUTHOR) kg952@snu.edu.in |
| Source: | Linear Algebra & its Applications. Aug2026, Vol. 743, p102-122. 21p. |
| Subjects: | Matrix norms, Subdifferentials, Linear algebra, Approximation error, Orthogonalization, Chebyshev approximation |
| Abstract: | Some questions raised in [K. Ziętak, From the strict Chebyshev approximant of a vector to the strict spectral approximant of a matrix , Warsaw: Banach Center Publ., 112 Polish Acad. Sci. Inst. Math. (2017)] are discussed. To do so, the subdifferential set of the Ky Fan p - k norm is computed. A characterization for the best approximations with respect to the Ky Fan p - k norms is given. Further, necessary and sufficient conditions for ε -Birkhoff orthogonality with respect to the Ky Fan p - k norm are also derived. [ABSTRACT FROM AUTHOR] |
| Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. 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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193660179 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.laa.2026.04.016 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 102 Subjects: – SubjectFull: Matrix norms Type: general – SubjectFull: Subdifferentials Type: general – SubjectFull: Linear algebra Type: general – SubjectFull: Approximation error Type: general – SubjectFull: Orthogonalization Type: general – SubjectFull: Chebyshev approximation Type: general Titles: – TitleFull: Properties of best approximations with respect to the Ky Fan p-k norm, and the strict spectral approximant of a matrix. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Grover, Priyanka – PersonEntity: Name: NameFull: Gupta, Krishna Kumar IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 08 Text: Aug2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00243795 Numbering: – Type: volume Value: 743 Titles: – TitleFull: Linear Algebra & its Applications Type: main |
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