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Rolan Pane
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Mathematics

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METODE ITERASI OPTIMAL BERORDE EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Yanti, Helmi Putri; M., Imran; Pane, Rolan
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

In this article, we discuss the derivation of an optimal iterative method using a quadratic polynomial, which is a review and a correction of a part of Fern´andez-Torres and V´asquez-Aquino’s article [Advances in Numerical Analysis, 10: 1-8, 2013]. Analytically we show that the obtained method has an order of convergencefour and requires three function evaluations per iteration, so that the efficiency index of the method is 1.587. The analytical results are in agreement with the com-putational examples. Numerical comparisons show that the method obtained can compete with the existing fourth order methods.
KESTABILAN POPULASI MODEL LOTKA-VOLTERRA TIGA SPESIES DENGAN TITIK KESETIMBANGAN Monica, Ritania; Deswita, Leli; Pane, Rolan
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 stability analysis of the population in Lotka-Volterra model of the three species. The analysis was conducted on the stability of the equilibrium point and the coordinate plane through linear analysis. Furthermore, some numerical examples show that the solutions obtained using the parameter values provide an overview of the development of the three species.
EKSISTENSI INVERS GRUP DARI MATRIKS BLOK Riana Wendya; Rolan Pane; 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

We discuss necessary and sufficient conditions for the existence of the group inverse of  block matrices of the forms M  and , where A, B are square matrices with . In addition, we also give two explicit forms of the considered block matrices.
DERAJAT VERTEKS GRAF TERHADAP HIMPUNAN VERTEKS Fauziah Arani; Rolan Pane; Endang Lily
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  methods  to  define  the degrees of the  graph  vertex. These  methods include  union, intersection, and  difference  symmetric  from  vertex set. Based on this definition the relation  between the  degrees  of the graph  vertex and  vertexset  is  obtained. An example is given to illustrate the implementation of the methods.
MODEL SELEKSI PREMI ASURANSI JIWA DWIGUNA UNTUK KASUS MULTIPLE DECREMENT Devi Ramana Cita; Rolan Pane; Harison '
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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This article discusses a select survival model for the case of multiple decrements in evaluating endowment life insurance premium for person currently aged ( + ) years, who is selected at age with ℎ years selection period. The case of multiple decrements in this case is limited to two cases. The calculation of the annual premium is done by prior evaluating of the single premium, and the present value of annuity depends on theconstant force assumption.
CADANGAN PREMI TAHUNAN ASURANSI KESEHATAN PADA STATUS GABUNGAN Aryo Gunanto; Hasriati '; Rolan Pane
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

Health insurance is one type of insurance products that specifically guarantees the cost of health or care insurance when the participants experience health problems and have to stay at the a hospital. This article discusses the amount of annual premium reserve of term health insurance for joint life status using constant force assumption, by first determining the term life annuity, single premium of health insurance and the annual premiums of term health insurance.
PREMI ASURANSI JIWA CONTINGENT DENGAN HUKUM DE MOIVRE Elni Tristianti; Hasriati '; Rolan Pane
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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This article discusses annual premium of contingent insurance using De Moivre law. Contingent insurance is those where the payment cash compensation is based on the sequence of death. Contingent insurance also uses compound contingent functions affected by the order of probability delay of death. In this article, we discusses only for two cases. Annual premium calculation contingent insurance is obtained by prior determining the single premium and the annuity based on De Moivre law.
METODE CHEBYSHEV-HALLEY BEBAS TURUNAN KEDUA UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Ridho Alfarisy; Rolan Pane; Supriadi Putra
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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This article discusses the Chebyshev-Halley method free from second derivative with one parameter, which is a modification of Chebyshev-Halley method with third order convergence. This method has a convergence of sixth order if the value of theparameter is one and of fifth order if the value of the parameter is other than one. For each iteration of this method, four function evaluations are needed, so that the efficiency index for the parameter is 614 = 1.565. Furthermore, the computational test shows that the discussed method is better than Newton method, Chebyshev method, Halley method, and Super Halley method in terms of the error produced in obtaining the estimated root.
MENENTUKAN PERPANGKATAN MATRIKS TANPA MENGGUNAKAN EIGENVALUE Rini Pratiwi; Rolan Pane; Asli Sirait
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 paper discusses an algorithm to determine the power of a square matrix, A , without computing its eigenvalues.  The algorithm can be used to compute  An, for each real number n  which is greater or equal to two.
NILAI AKUMULASI ANUITAS BERJANGKA DENGAN ASUMSI CONSTANT FORCE PADA STATUS HIDUP GABUNGAN Desrinaldo '; Hasriati '; Rolan Pane
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 accumulated value of the immediate annuity by assuming constant force for m-times payment per year of two persons who are x  and y years old in joining term life insurance with joint life status. The constant force assumption isused in determining the accumulated value of the term immediate annuity. The accumulated value of the annuity is influenced by cash value annuity paid by the insurance participants, the interest rate, and the amount of annuity payments made by insurance participants.
Co-Authors Aryo Gunanto Asli Sirait Desrinaldo ' Devi Ramana Cita Elni Tristianti Endang Lily Fauziah Arani Harison ' Hasriati ' Helmi Putri Yanti Imran M. Leli Deswita Mashadi ' Musraini ' Musraini .M Riana Wendya Ridho Alfarisy Rini Pratiwi Risma Rio Pratiwi Ritania Monica Samson Manalu Supriadi Putra