CAJ | 학술논문

探讨了张量积模型变换方法在数学建模课程中的应用。该方法利用高阶奇异值分解，把非线性系统转换为变权的时不变线性系统，建模精度取决于舍弃的奇异值个数。结合已有的模型求解方法，张量积模型变换方法适合作为一种新的建模方法引入到数学建模课程教学中。
탐토료장량적모형변환방법재수학건모과정중적응용。해방법이용고계기이치분해，파비선성계통전환위변권적시불변선성계통，건모정도취결우사기적기이치개수。결합이유적모형구해방법，장량적모형변환방법괄합작위일충신적건모방법인입도수학건모과정교학중。
Application of tensor product model transformation method in mathematical modeling was studied.Tensor product model transformation can obtain the parameter varying weighted linear time-invariant system from nonlinear system via higher order singular value decomposition,and the modeling error is determined by the number of deserted singular values.Combining with many existing method,tensor product model transformation can be applied to the practice of mathematical modeling teaching as a novel method.