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计算数学  1979 

THE CIRCULANT MATRIX AND ITS APPLICATIONS IN THE COMPUTATION OF STRUCTURES
循环矩阵及其在结构计算中的应用

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Abstract:

In this paper the concept of circulant matrix is generalized, the properties of circulant matrices discussed, and a computation method developed. Systems of linear algebraic equations with circulant or quasi-circulant coefficient matrices can be solved by the method mentioned. For most types of structures such systems of equations are often met in computation, Compared to the existing methods of solution, the proposed method involves less arithmetic computation and smaller digital computer storage. Furthermore it permits the use of Fast Fourier Transformation (FFT), with a result that the speed of computation can be greatly increased.

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