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Journal : Jurnal Matematika

PERBANDINGAN METODE TRUST-REGION DENGAN METODE NEWTON-RAPHSON PADA OPTIMASI FUNGSI NON LINIER TANPA KENDALA Yully Estiningsih; farikhin farikhin
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (425.026 KB)

Abstract

Optimization is the best decision of  the objective functions for  produce a satisfactory solution. Optimization of multi variables unconstraints is to optimize the the objective functions which contains multi variable function freely without any specific requirements that restrict its function. Trust-Region methods methods is used to optimize multi variables unconstraint , Trust-Region methods quadratic approach of optimizing non linear the objective functions with a certain radius as the limit of the step size according to the quality of the approach. Newton-Raphson methods is a root search method with the the objective functions approaches a point, where the objective functions has a derivative. In this final will be talking about Trust-Region methods will compared with Newton-Raphson methods, and rendered example problem in which only be solved using Trust-Region methods.Keywords : Trust-Region Methods, Optimization, Newton-Raphson Methods 
SUATU KAJIAN PADA BCI-ALJABAR YANG TERKAIT DENGAN SIFAT DERIVASI KIRI Carolin Carolin; farikhin farikhin
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (342.165 KB)

Abstract

Setiap-Derivasi kiri pada BCI- Aljabar X dapat dikatakan regular jika hasil derivasinya sama dengan nol atau setiap X idealnya merupakan D-invarian. Suatu himpunan dikatakan ideal pada X dengan -ideal jika , hal serupa dengan (-ideal jika ). Selain itu, himpunan  dikatakan ideal pada X dengan D-invarian jika. - Derivasi kiri BCI- Aljabar positif semisederhana merupakan hasil operasi biner antara endomorfisma dengan derivasinya. Himpunan  dikatakan torsi bebas BCI-aljabar jika kuadrat derivasinya atau komposisi derivasi pertama dan derivasi kedua sama dengan nol.Kata kunci :BCI-aljabar, BCI-aljabar p-semi sederhana, -Derivasi kiri,        D-invarian
Co-Authors A. Haris A. Rusgiyono Acep Irham Gufroni Adi Ariyo Munandar Adi Suliantoro Ahmad Abdul Chamid Ahmad Lubis Ghozali Aprilia, Maita Aris Sugiharto Arnelli Arnelli B. Raharjo Bambang Irawanto Bambang Irawanto Bambang Subeno Bayu Surarso Bayu Surarso Beta Noranita Bibit Waluyo Aji Budi Warsito Carolin Carolin Catur Edi Widodo D. Ispriyanti Didik Setiyo Widodo Dinar Mutiara Kusumo Nugraheni Djuwandi Djuwandi DONNY IRAWAN MUSTABA Dwinta Rahmallah Pulukadang, Dwinta Rahmallah E. Setiawati Erikha Feriyanto Erlin Dwi Endarwati, Erlin Dwi Esti Wijayanti, Esti F. Ariyanto Faozi, Safik Faudin, Arif Nur Fauzi, Irza Nur Feriyanto, Erikha Ferry Jie, Ferry Fitika Andraini H. Sutanto Heny Maslahah, Heny I. Marhaendrajaya Iswahyudi Joko Suprayitno J. E. Suseno Kartono . Keszya Wabang Kusworo Kusworo Laily Rahmania, Laily LM Fajar Israwan, LM Fajar M. Izzati M. Nur Madani, Faiq Mansur Mansur Meryta Febrilian Fatimah, Meryta Febrilian Mustafid Mustafid Neza Zhevira Septiani Nikken Prima Puspita Nikken Prima Puspita Nur Khasanah Oky Dwi Nurhayati Pangestika, Vidya Dwi Pradana, Fadli Dony Prantiastio Prastio, Wahyu Tedi Priyono Priyono Purwanto Purwanto R. Hariyati R. Hastuti Rachmat Gernowo Ratri Wulandari Retno Kusumaningrum Rezki Kurniati, Rezki Rineka Brylian Akbar Satriani Rinta Kridalukmana Robertus Heri Sulistyo Utomo S. Tana Safik Faozi, Safik Satriani, Rineka Brylian Akbar Siti Khabibah Siti Khabibah Sri Wahyuni Sugito Sugito Suhartono Suhartono Sunarsih . Suparti Suparti T. Windarti Titi Udjiani SRRM Toni Prahasto Udjiani , Titi Udjiani S.R.R.M, Titi Usman, Carissa Devina Uswatun Khasanah W. H. Rahmanto Wahyul Amien Syafei Wardani, Novita Koes Wardianto, Wardianto Warsito , Budi Wicaksono, Mahad Wyne Mumtaazah Putri Yosza Dasril Yully Estiningsih Z. Muhlisin