On Broyden-like update via some quadratures for solving nonlinear  systems of equations

Hassan MOHAMMAD; Mohammed  Yusuf WAZIRI

Makale detayları

On Broyden-like update via some quadratures for solving nonlinear systems of equations

Yazarlar:

Hassan MOHAMMAD | Mohammed Yusuf WAZIRI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.335-345

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747175

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of  midpoint and Simpson's quadrature. Our goal is to enhance the efficiency of the method (Broyden's method) by reducing the number of iterations it takes to reach a solution. Local convergence analysis and computational results showing the relative efficiency of the proposed method are given.

 

In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of  midpoint and Simpson's quadrature. Our goal is to enhance the efficiency of the method (Broyden's method) by reducing the number of iterations it takes to reach a solution. Local convergence analysis and computational results showing the relative efficiency of the proposed method are given.

Makale detayları

On Broyden-like update via some quadratures for solving nonlinear systems of equations

Yazarlar:

Hassan MOHAMMAD | Mohammed Yusuf WAZIRI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.335-345

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747175

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Broyden's method

superlinear convergence

quadrature formulae

predictor-corrector

nonlinear systems

Sayı

Makale detayları

On Broyden-like update via some quadratures for solving nonlinear systems of equations

Yazarlar: Hassan MOHAMMAD | Mohammed Yusuf WAZIRI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.335-345

Belge Tipi: Makale

Yayın Tarihi: 8/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000747175

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Broyden's method

superlinear convergence

quadrature formulae

predictor-corrector

nonlinear systems

Sayı

Yazarlar:

Hassan MOHAMMAD | Mohammed Yusuf WAZIRI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.335-345

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747175

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098