Nonlinear Random Matrix Model and Research for Quantitative Representation of Volleyball Attacker’s Action Links

• Published in: Mathematical problems in engineering 2022-08, Vol.2022, p.1-9
• Main Authors: Li, Fangshu, Jia, Nian, Wang, Haomiao, Zheng, Hua
• Format: Article
• Language: English
• Subjects: Algorithms; Comparative analysis; Competition; Eigenvalues; Game theory; Games; Matrix; Morale; Olympic games; Optimization; Physical fitness; Principal components analysis; Research methodology; Rubbing; Singular value decomposition; Teams; Volleyball
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2022/2279813

With the promotion of volleyball, the technical and tactical level of volleyball is also constantly improving, and the competition in volleyball competition is also extremely fierce. Especially in important games, it can be seen that most of the outstanding volleyball players have the characteristics of both offense and defence. The outside hitter is the main attack point and end point of the team’s offense and defence. The outside hitter’s offensive and defensive ability plays a crucial role in the final outcome of the game. It can be said that an excellent outside hitter is one of the main indicators to measure whether a team can become a world volleyball team. This paper introduces and analyses the optimal solution of kernel norm minimization and its application in the RPCA model. Through analysis, we know that when the alternating direction method solves the RPCA problem, the most expensive calculation is the optimization of the nuclear norm. Facing the singular value decomposition calculation of large-scale matrices, in order to solve the shortcomings of time-consuming and memory-consuming to solve large-scale matrix calculations, this paper proposes new stochastic singular value decomposition algorithms. The outside hitters use the rubbing, slapping, and hanging techniques to adjust their offense, but they rarely use them in the setter’s active organization. Through the research on adjusting the offense, it is found that the outside hitter’s advantage in adjusting the offense not only compensates for the impact of the fluctuating first pass and inadequate defence but also resolves the opponent’s sharp serve and spike, which increases the morale of the team. It is the most important condition for the women’s volleyball team to win the Olympic Games. Overall, the scoring rate of the outside hitter in each offensive position is analysed, which provides important data parameters for the women’s volleyball team to distribute the ball.