Polynomiography for the polynomial infinity norm via Kalantari's formula and nonstandard iterations
From MaRDI portal
Publication:1736112
DOI10.1016/j.amc.2017.02.038zbMath1411.37047OpenAlexW2596876879WikidataQ58933520 ScholiaQ58933520MaRDI QIDQ1736112
Krzysztof Gdawiec, Wiesław Kotarski
Publication date: 29 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.12128/3238
Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Numerical aspects of recurrence relations (65Q30)
Related Items (10)
Newton-like methods and polynomiographic visualization of modified Thakur processes ⋮ New escape criteria for complex fractals generation in Jungck-CR orbit ⋮ Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems ⋮ Algorithm for generalized hybrid operators with numerical analysis and applications ⋮ Control of dynamics of the modified Newton-Raphson algorithm ⋮ Newton's method with fractional derivatives and various iteration processes via visual analysis ⋮ Bisheh-Niasar-Saadatmandi root finding method via the \(S\)-iteration with periodic parameters and its polynomiography ⋮ Procedural generation of aesthetic patterns from dynamics and iteration processes ⋮ The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets ⋮ Higher order methods of the basic family of iterations via \(S\)-iteration scheme with \(s\)-convexity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New iteration scheme for numerical reckoning fixed points of nonexpansive mappings
- Polynomiography based on the nonstandard Newton-like root finding methods
- Multipoint methods for solving nonlinear equations: a survey
- On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
- A comparison between iterative methods by using the basins of attraction
- A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings
- Graphic and numerical comparison between iterative methods
- New approximation schemes for general variational inequalities
- Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces
- Multipoint iterative methods for finding all the simple zeros in an interval
- A Picard-Mann hybrid iterative process
- Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
- On a new iteration scheme for numerical reckoning fixed points of Berinde mappings with convergence analysis
- A Geometric Modulus Principle for Polynomials
- Fixed Points by a New Iteration Method
- Mean Value Methods in Iteration
This page was built for publication: Polynomiography for the polynomial infinity norm via Kalantari's formula and nonstandard iterations
