Curious 	harmony in asymmetric  & nonlinear variant of Filbert and Lilbert matrices

Emrah Kılıç; Didem Ersanlı

Makale detayları

Curious harmony in asymmetric & nonlinear variant of Filbert and Lilbert matrices

Yazarlar:

Emrah Kılıç | Didem Ersanlı

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.724-734

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320031

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we present a new analogue of the Filbert and Lilbert matrices whose indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formulae are derived for the LU-decompositions, their inverses and the inverse of the main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value.

 In this paper, we present a new analogue of the Filbert and Lilbert matrices whose indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formulae are derived for the LU-decompositions, their inverses and the inverse of the main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value.

 In this paper, we present a new analogue of the Filbert and Lilbert matrices whose indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formulae are derived for the LU-decompositions, their inverses and the inverse of the main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value.

 In this paper, we present a new analogue of the Filbert and Lilbert matrices whose indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formulae are derived for the LU-decompositions, their inverses and the inverse of the main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value.

Makale detayları

Curious harmony in asymmetric & nonlinear variant of Filbert and Lilbert matrices

Yazarlar:

Emrah Kılıç | Didem Ersanlı

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.724-734

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320031

pISSN:

2651-477X

Filbert matrix

Lilbert matrix

q-analogue

LU-decomposition

inverse matrix

determinant

Sayı

Makale detayları

Curious harmony in asymmetric & nonlinear variant of Filbert and Lilbert matrices

Yazarlar: Emrah Kılıç | Didem Ersanlı

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.724-734

Belge Tipi: Makale

Yayın Tarihi: 6/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001320031

pISSN: 2651-477X

Filbert matrix

Lilbert matrix

q-analogue

LU-decomposition

inverse matrix

determinant

Sayı

Yazarlar:

Emrah Kılıç | Didem Ersanlı

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 3, pp.724-734

Belge Tipi:

Makale

Yayın Tarihi:

6/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001320031

pISSN:

2651-477X