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Path Following Circuits - SPICE-Oriented Numerical Methods Where Formulas Are Described by Circuits

机译:路径跟随电路 - 以配合为导向的数值方法,其中电路描述了公式

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In this paper, it is shown that various scientific problems such as fixed-point problems, linear programming problems, and nonlinear programming problems can be solved by using the circuit simulator SPICE. The basic idea of the proposed method is that formulas of the homotopy method are described by circuits, and then they are solved by SPICE. Since SPICE is an excellent software that includes various excellent techniques, this approach will make the numerical analysis very efficient, especially for stiff problems. Moreover, for SPICE users, the proposed method will be useful because they can easily solve a broad class of problems by the homotopy method realized on SPICE without programming, although they do not know the homotopy method well.
机译:在本文中,示出了通过使用电路模拟器Spice可以解决各种科学问题,例如定点问题,线性编程问题和非线性编程问题。所提出的方法的基本思想是通过电路描述同型方法的公式,然后通过香料求解它们。由于Spice是一种优秀的软件,包括各种优异的技术,因此这种方法将使数值分析非常有效,特别是对于僵硬的问题。此外,对于香料使用者来说,所提出的方法将是有用的,因为它们可以通过在没有编程的香料上实现的同型方法容易地解决广泛的问题,尽管它们不知道同型方法良好。

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