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Everything about Iterated function
Result of repeatedly applying a mathematical function
In mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly applying the same function is called iteration. In this process, starting from some initial object, the result of applying a given function is fed again into the function as input, and this process is repeated. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Iterated functionA 5-minute orientation
- Skim a recent paper: Revisiting fractal through nonconventional iterated function systemsInfluential work since 2022
- Pick up a classic book: Advances in Electronics and Electron Physics (Advances in Imaging and Electron Physics)The most-reprinted book on the subject
- Read the landmark paper: Recurrent iterated function systemsCited 240 times
- Go sideways: Schröder's equationA closely related topic
- Go sideways: Abel equationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Recurrent iterated function systems
Dimension theory of iterated function systems
Iterated Function System and Ruelle Operator
Power Domains and Iterated Function Systems
Infinite Iterated Function Systems
Parabolic iterated function systems
Locally Contractive Iterated Function Systems
K-ITERATED FUNCTION SYSTEM
🆕 Influential since 2022
Revisiting fractal through nonconventional iterated function systems
Expansive Measures of Nonautonomous Iterated Function Systems
Relational generalized iterated function systems
Generalized Iterated Function Systems on b-Metric Spaces
Intrinsic Diophantine approximation for overlapping iterated function systems
📚 Books worth reading
Advances in Electronics and Electron Physics (Advances in Imaging and Electron Physics)Peter W. Hawkes · 1984
Metod momentov v prikladnoĭ matematikeVorobʹev, I͡U. V. · 1958
Approximate Iterative AlgorithmsAnthony Louis Almudevar · 2014- 📕Study of one- and two-dimensional filtering and deconvolution algorithms for a streaming array computerGeorge E. Ioup · 1985
- 📕Quasi-kernal polynomials and convergance results for quasi-minimal residual iterationsRoland W. Freund · 1992
A history of complex dynamicsDaniel S. Alexander · 1994
Convergence and applications of Newton-type iterationsIoannis K. Argyros · 2008
Verfahren der funktionswiederholungCasper Isenkrahe · 1897
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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