Newton Method with AOR Iteration for Finding Large Scale Unconstrained Minimizer with Tridiagonal Hessian Matrices

Ghazali, Khadizah; Sulaiman, Jumat; Dasril, Yosza; Gabda, Darmesah

doi:10.1088/1742-6596/1298/1/012002

Cited by 2 publications

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This transformation creates a strong disturbance in the dynamical behavior of the Newton iterative graph, which leads to a drastic change in the Newton iterative graph and the formation of a completely new composition feature [27]. The organization points of the Newton iterative graph are randomly arranged to some extent, which coincides with the irregular and intricate arrangement of the crepe organization, and the organization design method based on the Newton iterative algorithm is shown in Figure 1.…”

Section: Generation and Design Methods Of Pattern By Newtonmentioning

confidence: 99%

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Wang¹

2022

Wireless Communications and Mobile Computing

View full text Add to dashboard Cite

Fashionable FMCG clothing brands have emerged in large numbers, and fast fashionable and personalized clothing is increasingly favored by young people. In this era of rapid renewal, clothing has obviously become a fast moving consumer good. China’s textile industry continues to develop, and the speed of development accelerates, coupled with the introduction and promotion of the use of Western textile technology, making the pattern design of Chinese textiles develop more quickly. The long-term disconnection between product pattern design and product production has led to the fact that the research on product pattern has been only on the plane, so there is an urgent need to improve the design level of product pattern and the market competitiveness of products through systematic research on product pattern. Newton’s iteration is an important research content of nonlinear theory, which is a hot spot in the field of scientific research at present. Newton’s iteration is a common method for finding the roots of nonlinear equations, which has at least second-order convergence speed, but requires the calculation of first-order derivative values. In this paper, a preliminary discussion on the design method of pattern design based on Newton’s iterative algorithm is conducted to explore a new way of personalized pattern design while using nonlinear graphs as pattern design materials. The experimental results show that the average value of EME of Newton’s iteration algorithm is 3.479 and 2.072 higher than that of AVG Filter and CB Filter, respectively, and the difference of pattern generation accuracy between CB Filter and AVG Filter is not much, so the accuracy of Newton’s iteration algorithm for pattern generation is better than that of CB Filter and AVG Filter. Therefore, it is proved that it is feasible to transform the special texture effect based on Newton’s iteration algorithm into fabric.

show abstract

Section: Generation and Design Methods Of Pattern By Newtonmentioning

confidence: 99%

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Wang¹

2022

Wireless Communications and Mobile Computing

View full text Add to dashboard Cite

show abstract

“…Therefore, in this work, four iterative methods that support parallel processing are implemented. Apart from image editing, iterative methods such as SOR and AOR had been successfully applied to solve path planning problem [19] and solving partial differential equations such as in [20] and [21].…”

Section: Related Workmentioning

confidence: 99%

Accelerated Red-Black Strategy for Image Composition Using Laplacian Operator

Saad¹,

Sunarto²,

Saudi³

2021

IJCDS

View full text Add to dashboard Cite

Digital image composition deals with the problem of embedding portions of the source image into the target image to generate a single desirable image seamlessly. The aim is to produce a new image that combines both source and target images so that the seam between the two images is less noticeable. Image composition based on numerical differentiation using the Laplacian operator to obtain the solution of the Poisson equation is presented. The proposed method employs a red-black strategy to speed up the computation by using an accelerated parameter to the existing relaxation method. This modified variant of the relaxation method known as the Modified Accelerated Over-Relaxation (MAOR) method is derived from the existing Modified Successive Over-Relaxation (MSOR) method. Several examples were tested to examine the effectiveness of the proposed method. The results showed that both modified accelerated variants performed faster than their corresponding standard modified successive variants.

show abstract

Newton Method with AOR Iteration for Finding Large Scale Unconstrained Minimizer with Tridiagonal Hessian Matrices

Cited by 2 publications

References 15 publications

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Accelerated Red-Black Strategy for Image Composition Using Laplacian Operator

Contact Info

Product

Resources

About