Efektifitas Himpunan Bebas Linear dalam Menentukan Solusi Sistem Persamaan Linear di Ruang Norm-3

Esih Sukaesih; T. Tutut Widiastuti

doi:10.15575/kubik.v4i1.5678

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Esih Sukaesih
UIN Sunan Gunung Djati
Indonesia

T. Tutut Widiastuti
UIN Sunan Gunung Djati
Indonesia

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Efektifitas Himpunan Bebas Linear dalam Menentukan Solusi Sistem Persamaan Linear di Ruang Norm-3

Esih Sukaesih^(1*), T. Tutut Widiastuti⁽²⁾

(1) UIN Sunan Gunung Djati, Indonesia
(2) UIN Sunan Gunung Djati, Indonesia
(*) Corresponding Author

Abstract

Ruang norm-3 didefinisikan sebagai ruang vektor X yang dilengkapi dengan norm-3 . Pada penelitian ini, diambil ruang vektor X dengan dim(X)=5 dan A adalah himpunan m vektor bebas linear di X, untuk m=2,3,4. Pada kondisi tersebut, dipelajari keefektifitasan himpunan bebas linear A dalam mendekati titik tetap dengan membandingkan galat pada setiap kondisi.

Keywords

ruang norm-3; terbatas relatif terhadap A; ruang norm berdimensi hingga

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References

S. Gähler, "Lineare 2-normierte Räume", Math. Nachr, 28, 1-43, 1964.

S. Gähler, "Untersuchungen Uber Verallgemeinerte m-Metrische Räume I, Math. Nachr, 40, 165-189, 1969.

S. Gähler, "Untersuchungen Uber Verallgemeinerte m-Metrische Räume II", Math. Nachr, 40, 229-264, 1969.

S. Gähler, "Untersuchungen Uber Verallgemeinerte m-Metrische Räume III”, Math. Nachr, 41, 23-26, 1970.

A. Misiak, "n-Inner product spaces", Math. Nachr., 140, 299-319, 1989.

H. Gunawan, “The space of p-summable sequences and its natural n-norm”, Bull. Ausral. Math. Soc., 64, 137-147, 2001.

S. Ekariani, H. Gunawan, and M. Idris, “A contractive mapping theorem on the n-normed space of p-summable sequence”, JMA, 4(1), 1-7, 2013.

M. J. I. Burhan, Ruang Norm-n Berdimensi Hingga, Tesis Institut Teknologi Bandung, Bandung, Indonesia, 2011.

E. Sukaesih, Teorema Pemetaan Kontraktif pada Himpunan Terbatas di Ruang Norm-n, Disertasi Institut Teknologi Bandung, Bandung, Indonesia, 2017.

H. Gunawan, O. Neswan, dan E. Sukaesih, “Fixed point theorems on bounded sets in an n-normed space”, JMA, 6(3), 51-58, 2015.

E. Sukaesih, “Boundedness in finite dimensional n-normed spaces”, ICMIs’s Proceeding, will be published.

DOI: https://doi.org/10.15575/kubik.v4i1.5678

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Efektifitas Himpunan Bebas Linear dalam Menentukan Solusi Sistem Persamaan Linear di Ruang Norm-3

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