Iswanto, Shalehuddin Sandhy (2017) Penerapan Prinsip Kontraksi Banach Pada Sistem Persamaan Linear. Sarjana thesis, Universitas Brawijaya.
Abstract
Dalam Skripsi ini dipelajari teorema prinsip kontraksi Banach dan penerapannya pada sistem persamaan linear. Dari definisi dan teorema yang dipelajari, prinsip kontraksi Banach memiliki hubungan dengan ketunggalan titik tetap di pemetaan kontraksi T. Prinsip kontraksi Banach juga dapat diterapkan untuk mencari solusi tunggal dari sistem persamaan linear berderajat yaitu dengan mencari titip tetap tunggal dari sistem persamaan linear tersebut.
English Abstract
This final project is studied about definitions and Banach contraction principle theorem and their application on linear equation system. There is a relation about Banach contraction principle with unique fixed point at contraction mapping . Banach contraction principle can also applied to find the unique solution from linear equation system i.e. by finding unique fixed point of linear equation system.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/FMIPA/2017/462/051709801 |
| Uncontrolled Keywords: | titik tetap, pemetaan kontraksi, prinsip kontraksi Banach. |
| Subjects: | 500 Natural sciences and mathematics > 512 Algebra > 512.5 Linear algebra > 512.55 Topological and related algebras and groups > 512.554 Banach algebras |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 01 Nov 2017 01:44 |
| Last Modified: | 18 Nov 2021 03:40 |
| URI: | http://repository.ub.ac.id/id/eprint/4659 |
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