一般k階余因式的k超連接表達(dá)式和分解定理
DECOMPOSITION THEOREM AND k-HYPERCONNECTION EXPRESSIONS FOR GENERAL k-ORDER COFACTORS
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摘要: 本文應(yīng)用有向超圖理論提出了線性系統(tǒng)不定參數(shù)矩陣Y的一般k階余因式Y(jié)(ii)的兩個(gè)k超連接表達(dá)式,并根據(jù)它導(dǎo)出了Y(ii)的一個(gè)分解定理。應(yīng)用該定理容易對(duì)任意線性大系統(tǒng)進(jìn)行多層撕裂和分析。這是一種新的多層拓?fù)浞治龇椒?它可以擴(kuò)大一臺(tái)計(jì)算機(jī)所能拓?fù)浞治龅南到y(tǒng)規(guī)模。
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關(guān)鍵詞:
- 有向超圖理論; k超連接; k階余因式; 多層拓?fù)浞治?/a>
Abstract: Two k-hyperconnection expressions of a general k-order cofactor Y(ij) are presented for the indefinite parameter matrix Y of a linear system, and based on it, a decomposition theorem of Y(ij) is dcrived. By this theorem, the multi-level tearing and analysis can be carried out easily for any large linear system. This is a new multi-level topological analysis method. Using the method the scale of systems which can be topologically analysed by a computer will be increased. -
C. L. Coates, IRE Trans. on CT, CT-6(1959), 170-187.[2]J. A. Starzyk, et al., IEEE Trans. on CAS, CAS-33(1986), 302-315.[3]黃汝激,電子科學(xué)學(xué)刊,9(1987), 244-255.[4]陸生勛,中國(guó)科學(xué)(A輯),9(1986), 940-948.[5]黃汝激, 電子學(xué)報(bào),15(1987)1, 1-9.[6]W. K. Chen, Applied Graph Theory, North-Holland Publishing Co., Amsterdam, (1976).[7]黃汝激, 電子科學(xué)學(xué)刊, 7(1985),81-91.[8]黃汝激, 北京鋼鐵學(xué)院學(xué)報(bào),2(1982), 83-89.[9]黃汝激, 電子學(xué)報(bào),15(1987)3, 8-13. -
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