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Dergiler / Gazi University Journal of Science / 2016 / Cilt: 29 - Sayı: 3

A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX

Ercan ALTINIŞIK
Fatih YAĞCI
Mehmet YILDIZ
Sayfa
675–679
Yayın Tarihi
2016-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we present a lattice-theoretic generalization of the Lehmer matrix.
📊
Temel Bulgular & Veri:We obtain some certain formulae for the determinant and the entries of the inverse of this new generalization by using lattice-theoretic tools.
💡
Sonuç & Katkı:These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:the Lehmer matrix · lattice · meet matrix

Abstract

In this paper, we present a lattice-theoretic generalization of the Lehmer matrix. We obtain some certain formulae for the determinant and the entries of the inverse of this new generalization by using lattice-theoretic tools. These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.

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Bu Makaleye Atıf Yap

ALTINIŞIK, E., YAĞCI, F., YILDIZ, M. (2016). A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX. Gazi University Journal of Science, Cilt: 29 - Sayı: 3, 675–679. https://ajindex.com/articles/254707

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Kaynakça (10)

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  9. M. Mattila, P. Haukkanen, Studying the various properties of MIN AND MAX matrices –elementary vs. more advanced methods, Spec. Matrices 4 (2016), Art. 10. M. Newman, J. Todd, The evaluation of matrix inversion programs, J. Society Industrial and Appl. Math. 6 (1958) 466-476.
  10. L. F. Shampine, The condition of certain matrices, J Res. Natl. Inst. Stan. B Mathematics and Mathematical Physics 69B no.4 (1965) 333-334. D. M. Smiley and M. F. Smiley, and J. Williamson, Amer. Math. Monthly, 53 (1946) 534-535.