Eigenvalue, eigenvector, eigenmode of reducible matrix and its application

Mursyidah, Himmatul; Subiono,

doi:10.1063/1.4994447

Cited by 4 publications

(4 citation statements)

References 2 publications

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“…Mereka adalah "vektor Eigen". Kalikan vektor Eigen dengan A, dan vektor Ax adalah bilangan waktu x asli (Mursyidah and Subiono, 2017). Dalam aplikasi aljabar max-plus, ada tiga komponen penting yang terkait dengan matriks.…”

Section: Pemodelan Matematikaunclassified

Penerapan Program Software Matlab Dalam Memecahkan Permasalahan Rangkaian Listrik: Dinamika Sistem Kapasitor Dan Induktor (Prinsip Nilai Dan Vektor Eigen)

Muthoharoh

Pamungkas

Sari

2021

JFU

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Matlab software was applied in solving physics cases in electronics using value calculation programs and Eigenvectors. The physics case solved is an moving oscillator circuit consisting of five capacitors and four inductors. The purpose of this program is to determine the value and the Eigenvectors that can be obtained. The method used is to utilize the problem of values and Eigenvectors in the Matlab program. In the case of oscillator motion, each capacitor's size and inductor system have been determined according to the system.. The equation of motion for the capacitor and inductor system is reviewed at each point of the inductor and the function used is Â called the ansatz function, then differentiated twice concerning time. By using the Matlab program application, the results obtained show that by using eig (Eigen) command the Matlab program can accurately show the results of running (execution) values and Eigenvector.

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Section: Pemodelan Matematikaunclassified

Penerapan Program Software Matlab Dalam Memecahkan Permasalahan Rangkaian Listrik: Dinamika Sistem Kapasitor Dan Induktor (Prinsip Nilai Dan Vektor Eigen)

Muthoharoh

Pamungkas

Sari

2021

JFU

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“…1.Dekomposisi (Decomposition) Vektor kolom bukan nol, yang jika dikalikan dengan suatu matriks berukuran n x n akan menghasilkan vektor lain yang memiliki nilai kelipatan dari vektor eigen itu sendiri merupakan vektor eigen. (Mursyidah, 2017) Apabila diketahui elemen-elemen dari suatu tingkat dalam hirarki adalah 1, 2, 3, ... , dengan bobot pengaruh masing-masing 1, 2, 3, ... ,. Misalkan = menunjukan kekuatan dibandingkan dengan , ,maka matriks yang memuat angkaangka ini dinamakan matriks pairwise comparison (perbandingan berpasangan), diberi symbol.…”

Section: Analytical Hierarchy Process (Ahp)unclassified

Sistem Penunjang Keputusan Pemilihan Karyawan Terbaik Di Restoran Soto Pak J Menggunakan Metode Ahp

Gulo,

Nurhidayati,

Aprillia

et al. 2021

LRK

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Pemimpin restoran membutuhkan seorang karyawan yang dapat dipercayai bisa melayani tamu atau pengunjung yang datang ke restoran tersebut dengan baik. Pemilihan karyawan terbaik merupakan aspek yang penting dalam manajemen kinerja karena menghasilkan informasi yang berguna untuk keputusan administratif karyawan seperti promosi ataupun pelatihan dan keputusan-keputusan lainnya. Pelaksanaan karyawan terbaik bukanlah saja memilih dan menetapkan karyawan yang tepat tetapi hal ini juga penting bagi pimpinan untuk merencanakan suatu hal yang matang dalam memotivasi dan mengembangkan diri karyawan. Sehingga perlu dibuatnya Sistem Pendukung Keputusan (SPK) dengan menerapkan metode Analytical Hierarchy Process (AHP). Metode AHP adalah suatu metode untuk memecahkan suatu tindakan yang dikaitkan dengan perbandingan bobot kepentingan antara faktor serta perbandingan beberapa alternatif. Metode ini akan me mberikan hasil pembobotan dari masing-masing alternatif pilihan sesuai dengan banyaknya kriteria yang ditetapkan yaitu seperti tipe, harga, lokasi dan alternatif yang memiliki bobot terbesar, merupakan alternatif pilihan yang menjadi rekomendasi karyawan terbaik untuk dipilih oleh pemimpin restoran.

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“…Research Kamceva [3] explained that max-plus algebra could complete the DES model. Then Mursyidah [6] and Sulistyaningsih [12] has also explained that max-plus algebra can be used to solve scheduling problems. Furthermore, in 2016 Sari and Pradanti [9] examined the application of max-plus algebra in a simple leather bag production system, in the same year Muntohar [5] researched the application of max-plus algebra in scheduling the Solopos general daily production system at PT.…”

Section: Preliminarymentioning

confidence: 99%

Eigen Problem Over Max-Plus Algebra on Determination of the T3 Brand Shuttlecock Production Schedule

Permana

Siswanto

Pangadi

2020

Numerical: J.Mat and Pend.Mat

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The production process is included in the Discrete Event System (DES). The DES independent variable generally depends on the event, so an event is influenced by the previous event. Max-plus algebra can be applied in the DES problem to change the system of nonlinear equations obtained into linear equations. Max-plus algebra is a set of real numbers combined with equipped with operations max and plus ⊗ or can be denoted with . An effective and efficient production process needs to pay attention scheduling steps well. The purpose of this research is to determine the Shuttlecock T3 production schedule using eigenvalue and eigenvector in max-plus algebra. The research method in this research is study of literature and observation. Literature study is carried out by studying references about max-plus algebra, especially material related to scheduling problems, while observation are carried out in the process of taking data of the Shuttlecock T3 production process in Surakarta. The linear equation system that is formed based on the results of the observation is then presented in the form and . The periodic time and initial system production time are determined from the eigenvalue and eigenvector matrix where . The results of the research showed that the production system run periodically every 249 minutes, then the best time for each processing unit to start working can be determined, as well as the Shuttlecock T3 production schedule according to the working hours more effective and efficient can be determined too.

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Eigenvalue, eigenvector, eigenmode of reducible matrix and its application

Cited by 4 publications

References 2 publications

Penerapan Program Software Matlab Dalam Memecahkan Permasalahan Rangkaian Listrik: Dinamika Sistem Kapasitor Dan Induktor (Prinsip Nilai Dan Vektor Eigen)

Penerapan Program Software Matlab Dalam Memecahkan Permasalahan Rangkaian Listrik: Dinamika Sistem Kapasitor Dan Induktor (Prinsip Nilai Dan Vektor Eigen)

Sistem Penunjang Keputusan Pemilihan Karyawan Terbaik Di Restoran Soto Pak J Menggunakan Metode Ahp

Eigen Problem Over Max-Plus Algebra on Determination of the T3 Brand Shuttlecock Production Schedule

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