The solution of the absolute value equations using two generalized accelerated overrelaxation methods

Finding the solution of the absolute value equations (AVEs) has attracted much attention in recent years. In this paper, we propose and analyze two generalized accelerated overrelaxation (AOR) methods for solving AVEs [Formula: see text], where [Formula: see text] is an [Formula: see text]-matrix. Furthermore, we discuss the convergence of the methods under some suitable assumptions. Numerical results are given to verify the effectiveness of our methods.

Upaya Meningkatkan Motivasi dan Hasil Belajar Siswa Pada Mata Pelajaran Matematika Melalui Tutorial Pembelajaran Berbasis Ispring di Kelas X SMAN 10 GARUT

- The development of technology and information is increasingly advanced, making available computer-based technology can be applied in the world of education. The use of computer technology is used for learning media or learning resources. In fact, many learning resources are circulating online in the form of e-learning to facilitate the delivery of learning materials, this material is packaged in an attractive manner in the delivery of learning materials, so this material is packaged attractively in an application that is educational for them. The purpose of this study was to make a variety of online learning for students using multimedia-based learning applications as a means to be faster in introducing mathematics to high school students to find out to what extent the use of Ispring-based multimedia can be used in learning the absolute value equality in Mathematics subjects. The writing method used is the method of observation and literature study as well as an alternative to online learning. The application used is Ispring. Hopefully using Ispring can improve the ability to learn Absolute Value Equations in mathematics lessons. Keywords: Ispring-Based Learning Tutorial, Learning Motivation, Learning Outcomes Abstrak - Perkembangan teknologi dan informasi yang semakin maju, menjadikan teknologi berbasis komputer yang tersedia dapat diterapkan dalam dunia pendidikan. Penggunaan teknologi komputer digunakan untuk media pembelajaran atau sumber belajar. Faktanya banyak sumber belajar yang beredar secara online dalam bentuk e-learning untuk memudahkan penyampaian materi pembelajaran, materi ini dikemas secara menarik dalam penyampaian materi pembelajaran, sehingga materi ini dikemas secara menarik dalam sebuah aplikasi yaitu mendidik untuk mereka. Tujuan dari penelitian ini adalah membuat berbagai pembelajaran online bagi siswa dengan menggunakan aplikasi pembelajaran berbasis multimedia sebagai sarana agar lebih cepat dalam mengenalkan matematika kepada siswa SMA untuk mengetahui sejauh mana penggunaan multimedia berbasis Ispring dapat digunakan. dalam pembelajaran persamaan nilai absolut pada mata pelajaran Matematika. Metode penulisan yang digunakan adalah metode observasi dan studi pustaka serta alternatif pembelajaran online. Aplikasi yang digunakan adalah Ispring. Semoga dengan menggunakan Ispring dapat meningkatkan kemampuan mempelajari Persamaan Nilai Mutlak dalam pelajaran matematika.Kata Kunci: Tutorial Pembelajaran Berbasis Ispring, Motivasi Belajar, Hasil Belajar

A Shift Splitting Iteration Method for Generalized Absolute Value Equations

In this paper, based on the shift splitting technique, a shift splitting (SS) iteration method is presented to solve the generalized absolute value equations. Convergence conditions of the SS method are discussed in detail when the involved matrices are some special matrices. Finally, numerical experiments show the effectiveness of the proposed method.

Implementing Class Wide Peer Tutoring to Enhance Students' Mathematical Reasoning Ability in Understanding Absolute Value Equations and Inequalities

This article aims to determine the effectiveness of Class Wide Peer Tutoring (CWPT) implementation to improve students' mathematical reasoning abilities. This research is experimental research with a mixed-method approach. The research sample was determined through cluster random sampling. Data were collected through mathematical reasoning tests arranged according to indicators of mathematical reasoning ability. Data were analyzed using inferential statistics with the stages of normality, homogeneity, and hypothesis testing. The result shows that the implementation of CWPT enhances students' mathematical reasoning on Equations and Inequalities of an Absolute Value. Mathematical reasoning test results show that the 10th grader score of mathematical reasoning is 76.75 (Good). The indicator of mathematical reasoning that is the most difficult for students to master is "drawing logical conclusions" with the acquisition of a mathematical reasoning score of 35.81 (poor), while the easiest mastered by students is "Presenting mathematical statements or premises in writing, drawings or graphics" with mathematical reasoning score of 80.14 (Very Good). The students' mathematical reasoning ability on the indicator "compiling an analogy or explanation of the problem and its solution" is 74.09 (Good). The mathematical reasoning ability of students on the indicator "mathematical manipulation" is 42.10 (fair). Keywords: Mathematical Reasoning, Students’ ability, Class Wide Peer Tutoring