AI 中文总结
本研究针对由全麦克斯韦方程规范不变性导出的准静态达尔文模型这一近奇异方程组，通过不等式评估分析其奇异特性，验证了增广系统方法求解该模型的有效性。
AI 中文摘要
本研究讨论准静态达尔文模型的条件数估计，该模型是由全麦克斯韦方程的规范不变性导出的具有大核的近奇异方程组。文中给出了近奇异方程组及其增广系统的最小非零奇异值、最大奇异值和条件数的不等式评估。该讨论揭示了达尔文模型的近奇异特性，证明了增广系统方法求解达尔文模型的有效性。
英文摘要
This study discusses the estimation of the condition number of the quasi-static Darwin model, which is shown to be a nearly singular system of equations with a large kernel derived from the gauge invariance of full Maxwell's equations. Inequality evaluations for a minimum nonzero singular value, maximum singular value, and condition number for a nearly singular system of equations and its augmented system are provided. This discussion reveals the nearly singular nature of the Darwin model and proves the effectiveness of the augmented system method for solving the Darwin model.
Journal refvol. 60, no. 12, pp. 1-4, Dec. 2024
