Convergence of one class of iterative processes

1990 ◽  
Vol 1 (4) ◽  
pp. 403-407
Author(s):  
B. V. Dobrov
Keyword(s):  
Iterative Processes

Meet fractal curves with 1C:MathKit

2020 ◽  
pp. 38-48
Author(s):  
O. M. Korchazhkina
Keyword(s):  
Methodological Approach ◽  
Fractal Curve ◽  
Iterative Processes ◽  
Geometric Figures ◽  
Modern Natural ◽  
Geometric Objects ◽  
Ict Tools ◽  
Subject Areas ◽  
The Subject ◽  
And Mathematics

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

scholarly journals On the stability of asynchronous iterative processes

1987 ◽  
Vol 20 (1) ◽  
pp. 137-153 ◽  
Author(s):  
John N. Tsitsiklis
Keyword(s):  
Iterative Processes ◽  
The Stability

Optimal iterative processes for root-finding

1972 ◽  
Vol 20 (5) ◽  
pp. 327-341 ◽  
Author(s):  
Richard Brent ◽  
Shmuel Winograd ◽  
Philip Wolfe
Keyword(s):  
Iterative Processes ◽  
Root Finding

Convergence Criteria for Iterative Processes

AIAA Journal ◽  
1972 ◽  
Vol 10 (8) ◽  
pp. 1107-1108 ◽  
Author(s):  
PAL G. BERGAN ◽  
RAY W. CLOUGH
Keyword(s):  
Convergence Criteria ◽  
Iterative Processes

An Improved Iterative Polynomial Fitting Algorithm for Baseline Correction in X-Ray Spectrum

2021 ◽  
Vol 105 ◽  
pp. 90-98
Author(s):  
Xiao Yu Jiang ◽  
Qing Ya Wang ◽  
Mu Qiang Xu ◽  
Jun Hao
Keyword(s):  
Fluorescence Spectrum ◽  
Soil Analysis ◽  
Simulated Data ◽  
Real Data ◽  
Polynomial Fitting ◽  
X Ray ◽  
Iterative Processes ◽  
Fitting Method ◽  
Fitting Algorithm ◽  
Fitting In

An iterative polynomial fitting method is proposed for the estimate of the baseline of the X-ray fluorescence spectrum signal. The new method generates automatic thresholds by comparing the X-ray fluorescence spectrum signal with the calculated signal from polynomial fitting in the iterative processes. The signal peaks are cut out consecutively in the iterative processes so the polynomial fitting will finally give a good estimation of the baseline. Simulated data and real data from the soil analysis spectrum are used to demonstrate the feasibility of the proposed method.

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