Dynamics of Newton's method for solving some equations

Computers and Graphics (Pergamon)

Volumn 26, Issue 2, 2002, Pages 271-279

  Jeong, Moonja ^a   Ok Kim, Gi ^b   Kim, Seong A ^b  

^a Suwon University   (South Korea)

^b Woosuk University   (South Korea)

Author keywords

Attractor; Basin of attraction; Julia set; Newton iteration function; Newton sequence; Newton's method

Indexed keywords

FRACTALS; FUNCTIONS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS;

NEWTON'S METHOD;

PROBLEM SOLVING;

EID: 0036530957     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0097-8493(01)00179-0     Document Type: Article

References (7)

1. Iterations, Denjoy-Wolff points and ergodic properties of point-mass singular inner functions
2. Dynamics of two parameter family of point-mass singular inner functions
3. Infinite-corner-point fractal image generation by Newton's method for solving exp(-α (ζ + z)/(ζ - z)) - 1 = 0