广义混合法与广义分裂法的统一
UNIFICATION OF GENERALIZED HYBRID ANALYSIS AND GENERALIZED DIAKOPTICS
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摘要: 本文中,(1)引入了广义混合基的概念,将作者在1982年提出的混合法推广成广义混合法;(2)引入了广义分裂法的概念,建立了广义混合法与广义分裂法之间的一一对应关系,从而统一了混合法与分裂法;(3)提出了多级广义分裂法及其算法;(4)提出了基本分裂法中等效树-花形网络和尊效互联网络的概念。
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Abstract: In this paper, (1) The concept of gencralized hybrid basis is introduced and the hybrid analysis given by the author in 1982 is extended to the generalized bybrid analysis. (2) The coneept of generalized diakoptics is introduced and the one-to-one correspondence between the generalized diakoptics and the generalized hybrid analysis is established. Thus the two analysis methods are unified. (3) The multilevel generalized diakoptics and its algorithm are presented. (4) The concepts of equivalent tree-flower type network and its equivalent interconnected network for fundamental diakoptics are presented. -
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