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CrossRef 2014 9 sitasi

Asymmetric generalizations of the filbert matrix and variants

Emrah Kılıç Helmut Prodinger
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Four generalizations of the Filbert matrix are considered, with additional asymmetric parameter settings. Explicit formula are derived for the LU-decompositions, their inverses, and the inverse matrix. The approach is mainly to use the q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger?s algorithm for some of them, and for the rest of the necessary identities, to guess the relevant quantities and proving them later by induction.

Penulis (2)

E

Emrah Kılıç

H

Helmut Prodinger

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Kılıç, E., Prodinger, H. (2014). Asymmetric generalizations of the filbert matrix and variants. https://doi.org/10.2298/pim1409267k

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Informasi Jurnal
Tahun Terbit
2014
Bahasa
en
Total Sitasi
9×
Sumber Database
CrossRef
DOI
10.2298/pim1409267k
Akses
Terbatas