分数阶伪牛顿法及其在求解允许构建混合太阳能接收器的非线性系统中的应用
Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
AI总结：
本文提出一种基于分数阶导数的新型数值方法，用于求解构建混合太阳能接收器时得到的不稳定非线性系统，该方法无需矩阵求逆，易于实现且具有至少线性的收敛阶。
摘要：
本文档提出了一种可能的解法，并对研究构建混合太阳能接收器时得到的非线性系统进行了简要的稳定性分析；需要指出的是，由于该系统显然不稳定，通过迭代方法相对难以获得其解。为寻找此解，采用了一种适用于单变量和多变量的新型数值方法，该方法利用分数阶导数，允许使用实初始条件在复空间中求解某些非线性系统，且对线性系统同样有效。上述方法具有（至少）线性的收敛阶，但易于实现，且在求解非线性系统和线性系统时无需对任何矩阵求逆。
英文摘要：
The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; It is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain through iterative methods since the system is apparently unstable. To find this possible solution is used a novel numerical method valid for one and several variables, which using the fractional derivative, allows us to find solutions for some nonlinear systems in the complex space using real initial conditions, this method is also valid for linear systems. The method described above has an order of convergence (at least) linear, but it is easy to implement and it is not necessary to invert some matrix for solving nonlinear systems and linear systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
