Bibliographic Details
| Title: |
Properties of best approximations with respect to the Ky Fan p-k norm, and the strict spectral approximant of a matrix. |
| 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] |
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| Database: |
Engineering Source |
