有源網(wǎng)絡(luò)不定導(dǎo)納矩陣的一般k階余因式的拓?fù)浔磉_(dá)式
TOPOLOGICAL EXPRESSIONS FOR GENERAL k-ORDER COFACTOR OF INDEFINITE-ADMITTANCE MATRIX OF ACTIVE NETWORKS
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摘要: 本文提出并證明了有源網(wǎng)絡(luò)不定導(dǎo)納矩陣的一般k階余因式的兩個(gè)拓?fù)浔磉_(dá)式(A)和(B)。表達(dá)式(A)是W.K.Chen于1965年給出的一、二、三階和特殊k階余因式的拓?fù)浔磉_(dá)式的統(tǒng)一和推廣。表達(dá)式(B)表明,存在另一個(gè)有源網(wǎng)絡(luò)拓?fù)浞治龇椒ㄕ邢騥-樹法。
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關(guān)鍵詞:
Abstract: Two topological expressions (A) and (B) and their proofs for general k-order cofaetor of the indefinite-admittance matrix of an aetive networks are presented. The expression (A) is the unification and extension of Chen s topological expressions (1965, 1976) for 1, 2, 3-order and special k-order cofactors. The expression (B) shows thatthere is another topological analysis method for active networkspositive root di-rected k-tree method. -
W. K. Chen, IEEE Trans. on CT, CT-12 (1965), 85.[2]W. K. Chen, Applied Graph Theory, Amsterdam: North-Holland, Chap. 4, 1976.[3]陳樹柏,左愷,張良震等編,網(wǎng)絡(luò)圖論及其應(yīng)用,科學(xué)出版社,1982.[4]A. Talbot, IEEE Trans. on CT, CT-13 (1966), 111.[5]W. K.Chen, IEEE Trans. on CT, CT-13 (1966), 438.[6]А.Г.Курощ著,柯召譯,高等代數(shù)教程,第二章,高等教育出版社,1956.[7]Ф.Р.Гантмахер著,柯召譯,矩陣論,高等教育出版社,1955.[8]黃汝激,北京鋼鐵學(xué)院學(xué)報(bào),1982年,第2期,第83頁. -
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