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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Journal of the Indonesian Mathematical Society
Musraini M
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Mathematics

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FAMILI DARI METODE NEWTON-LIKE DENGAN ORDE KONVERGENSI EMPAT Nurazmi '; Supriadi Putra; Musraini M
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses the families of Newton-Like methods derived from a combination of the secant method with Newton’s method based on the trapezoidal rule and inverse function to find a root of nonlinear equations. Analytically, it is shown that the iterative methods have the order of convergence four and for each iteration, they require four function evaluations, so the efficiency index is 1.414 which is the same as Newton’s method. Furthermore, computational results show that the iterative method is superior to the comparison methods in terms of the number of iterationsto obtain the estimated roots.
BEBERAPA IDENTITAS PADA GENERALISASI BARISAN FIBONACCI Sri Melati; Mashadi '; Musraini M
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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We discuss some identities of generalized Fibonacci sequence, (un), which satisfies linear homogeneous recurrence relations of order two having a non-zero constant coefficient. Then given some matrices, we show that the n-power of these matrices provide some identities for Pni=0 u2i , unun+2, and Pni=0 unun+1. At the end we give generating functions for unun+1 and unun+2.
PERHITUNGAN VALUE AT RISK PORTOFOLIO SAHAM MENGGUNAKAN METODE SIMULASI MONTE CARLO Adilla Chandra; Johannes Kho; Musraini M
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses the calculation of Value at Risk (VaR) for stock portfolio usingMonte Carlo simulation. The standard deviation of return data of multiple stock andportfolio are normally distributed and used in the calculation of VaR. Monte Carlomethod is applied to simulate a new return value of stock and portfolio by generating arandom numbers based on the characteristics of the data, which is then used to estimatea VaR. The calculation of VaR at portfolio uses two assets which are Semen Indonesia (Persero) Tbk (SMGR.JK) and PT. Unilever Indonesia Tbk (UNVR.JK).
KESETARAAN UJI PEPIN DAN LUCAS-LEHMER Yulismansyah '; Sri Gemawati; Musraini M
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Pepin test provides a necessary and sufficient condition for a Fermat number to be a prime. Lucas-Lehmer test provides a necessary and sufficient condition for a Mersenne number to be a prime. In this article, we review a part of the work of Jaroma [European Journal of Pure and Applied Mathematics Vol. 2, No. 3, 2009, (352-360)] that is the equivalence structure of Pepin test and Lucas-Lehmer test through Lehmer sequences so that both test can be used to check when a Fermat number or a Mersenne number to be a prime.
fq-Derivation of BP-Algebras Sri Gemawati; Mashadi Mashadi; Musraini M; Elsi Fitria
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1448.235-244

Abstract

First, this article presents the definition of left-right derivation and right-left derivation in BP-algebra, and their characteristic are explored. Then, we define the concept of inside and outside fq-derivation of BP-algebras. Finally, their properties are explored. Furthermore, the notion of fq-derivation within BP-algebra is synonymous with B-algebra; however, they do exhibit variations in their respective characteristics.
Co-Authors Adilla Chandra Elsi Fitria Johannes Kho Mashadi ' Mashadi Mashadi Nurazmi ' Sri Gemawati Sri Gemawati Sri Melati Supriadi Putra Yulismansyah '