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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika)
Nur Aliatiningtyas
Division Of Pure Mathematics, Department Of Mathematics, Faculty Of Mathematics And Natural, Sciences, IPB University
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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On the Explicit Formula for Eigenvalues, Determinant, and Inverse of Circulant Matrices Nur Aliatiningtyas; Sugi Guritman; Teduh Wulandari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8616

Abstract

Determining eigenvalues, determinants, and inverse for a general matrix is computationally hard work, especially when the size of the matrix is large enough. But, if the matrix has a special type of entry, then there is an opportunity to make it much easier by giving its explicit formulation. In this article, we derive explicit formulas for determining eigenvalues, determinants, and inverses of circulant matrices with entries in the first row of those matrices in any formation of a sequence of numbers. The main method of our study is exploiting the circulant property of the matrix and associating it with cyclic group theory to get the results of the formulation. In every discussion of those concepts, we also present some computation remarks. 
APLIKASI ZERO-ONE GOAL PROGRAMMING DALAM MASALAH PEMILIHAN PROYEK PEMASARAN Silalahi, Bib Paruhum; Pertiwi, Silviana Eka; Mayyani, Hidayatul; Aliatiningtyas, Nur
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (714.145 KB) | DOI: 10.30598/barekengvol14iss3pp433-444

Abstract

Marketing management is an activity to plan and organize marketing activities in order to achieve organizational or company goals efficiently and effectively. Problems arise when there are several or many different projects that can be implemented as company marketing projects. These projects are usually categorized by several objectives. These goals can be complementary or contradictory. In operation, decision-makers are required to choose and determine the right project to achieve the target. In this paper, we discuss a programming model using the zero-one goal programming approach, a selection of marketing projects to meet many objectives and constraints, and then give examples of its implementation. Discussion and implementation include goal programming categories: nonpreemptive goal programming and preemptive goal programming
Co-Authors AHMADI Bib Paruhum Silalahi Mayyani, Hidayatul Pertiwi, Silviana Eka Sugi Guritman