Research on Sports Training Mode of College Athletes Based on Column Generation Algorithm of Recursive Matrix

• Published in: Applied mathematics and nonlinear sciences Vol. 9; no. 1
• Main Author: Li, Xiangmin
• Format: Journal Article
• Language: English
• Published: Sciendo 01.01.2024
• Subjects: 97B20; Cluster analysis; Column generation algorithm; Recursive matrix; Sports training mode
• ISSN: 2444-8656; 2444-8656
• DOI: 10.2478/amns-2024-2178

Athlete training optimization is an important part of sports management, and the scientific management program is of practical significance for athletes to improve their sports level. This paper collects sports training data for cluster analysis, establishes the optimization function of the distance from the data point to the center of the class, solves it, and determines the consistency matrix to judge the data category. Establish the column generation optimization model, get the linear programming model based on the matrix change column generation, in the process of transforming the model to solve the recursive matrix recursive relationship formula and solve the objective function. According to the solution of the optimization function to adjust the athletes’ sports training program. After the test, it was found that the pre-and post-test scores of the three tests of the experimental class were improved by 1.03 seconds, 1.05 meters, and 1.33 meters, respectively, and were significantly ahead of the scores of the control group. According to the satisfaction analysis, 76.67% of students were satisfied with the training effect. It indicates that the new training mode improved by the algorithm has good application effects.