Broyden’s Method for a Class of Problems Having Singular Jacobian at the Root

1985 ◽  
Vol 22 (3) ◽  
pp. 566-574 ◽  
Author(s):  
D. W. Decker ◽  
C. T. Kelley
Keyword(s):  
Broyden’S Method ◽  
Broyden's Method ◽  
Singular Jacobian

An Inverse Free Broyden's Method

2021 ◽  
pp. 273-288
Author(s):  
Ioannis K. Argyros
Keyword(s):  
Broyden’S Method ◽  
Broyden's Method

Broyden's method in Hilbert space

1986 ◽  
Vol 35 (1) ◽  
pp. 71-82 ◽  
Author(s):  
Ekkehard W. Sachs
Keyword(s):  
Hilbert Space ◽  
Broyden’S Method ◽  
Broyden's Method

scholarly journals A New Approach for Solving Dual Fuzzy Nonlinear Equations Using Broyden's and Newton's Methods

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
M. Y. Waziri ◽  
Z. A. Majid
Keyword(s):  
Nonlinear Equations ◽  
Newton's Method ◽  
Numerical Results ◽  
Parametric Form ◽  
New Approach ◽  
Broyden’S Method ◽  
Broyden's Method ◽  
Effectiveness And Efficiency ◽  
Initial Iteration ◽  
Newton's Methods

We present a new approach for solving dual fuzzy nonlinear equations. In this approach, we use Newton's method for initial iteration and Broyden's method for the rest of the iterations. The fuzzy coefficients are presented in parametric form. Numerical results on well-known benchmark fuzzy nonlinear equations are reported to authenticate the effectiveness and efficiency of the approach.

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