Singular perturbations arising in complex Newton's method

Figen Çilingir

Makale detayları

Singular perturbations arising in complex Newton's method

Yazarlar:

Figen Çilingir

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1172-1178

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301691

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 We examine the resulting dynamics when Newtons method is applied to perturbations on polynomials that have a multiple root. Specifically, we consider the case where Newtons method is applied to the polynomial family z2  cz-1.

 We examine the resulting dynamics when Newtons method is applied to perturbations on polynomials that have a multiple root. Specifically, we consider the case where Newtons method is applied to the polynomial family z2  cz-1.

 We examine the resulting dynamics when Newtons method is applied to perturbations on polynomials that have a multiple root. Specifically, we consider the case where Newtons method is applied to the polynomial family z2  cz-1.

 We examine the resulting dynamics when Newtons method is applied to perturbations on polynomials that have a multiple root. Specifically, we consider the case where Newtons method is applied to the polynomial family z2  cz-1.

Makale detayları

Singular perturbations arising in complex Newton's method

Yazarlar:

Figen Çilingir

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1172-1178

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301691

pISSN:

2651-477X

Julia set

Newton method

rational iteration

singular perturbations

Sayı

Makale detayları

Singular perturbations arising in complex Newton's method

Yazarlar: Figen Çilingir

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1172-1178

Belge Tipi: Makale

Yayın Tarihi: 10/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001301691

pISSN: 2651-477X

Julia set

Newton method

rational iteration

singular perturbations

Sayı

Yazarlar:

Figen Çilingir

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1172-1178

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301691

pISSN:

2651-477X