Seminar Nasional Teknologi Informasi Komunikasi dan Industri
2015: SNTIKI 7

Penentuan Nilai Eigen Tak Dominan Matriks Hermit Menggunakan Metode Pangkat Invers Dengan Nilai Shift

Fitri Ariyani (Jurusan Matematika Fakultas Sains dan Teknologi UIN Suska Riau Jl. H.R. Soebrantas KM. 15.5 Pekanbaru)
Rizka Dini Humairoh (Jurusan Matematika Fakultas Sains dan Teknologi UIN Suska Riau Jl. H.R. Soebrantas KM. 15.5 Pekanbaru)



Article Info

Publish Date
11 Nov 2015

Abstract

Inverse power method, can only be used to determine the eigenvalues of the matrix whose eigenvalues are real numbers. To determine the eigenvalues with complex matrices can be determined by using the value shift from implementing Gerschgorin theorem. Theorem Gerchgorin used in algebra to find the range of the complex eigenvalues of matrix berordo nx n. This shift value is the value of the approach was the dominant eigenvalues. This method is called inverse power method with shift value. Selection of a value shift greatly affect the number of iterations performed. In the process of determining the dominant eigenvalues do not need the initial vector. No dominant eigenvalues being used is not the dominant eigenvalues smallest of the eigenvalues no other dominant. This study discusses the eigenvalues not dominant on the berordo Hermit matrix 3 × 3, 4 × 4 and 5 × 5. Results obtained from the discussion is that no dominant eigenvalues of the third matrix is not too far from the election of his shift value.Keywords: Hermit matrix, not the dominant eigenvalues, the inverse power method with a shift value,

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Journal Info

Abbrev

SNTIKI

Publisher

Subject

Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Industrial & Manufacturing Engineering Mathematics

Description

SNTIKI adalah Seminar Nasional Teknologi Informasi, Komunikasi dan Industri yang diselenggarakan setiap tahun oleh Fakultas Sains dan Teknologi Universitas Islam Negeri Sultan Syarif Kasim Riau. ISSN 2579 7271 (Print) | ISSN 2579 5406 ...