Some Properties of Matrices with 1, -1 and 0 Entries |
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| Authors: | Reza Hashemian |
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| Institution: | Electrical Engineering Department Arya-Mehr University of Technology, Tehran, Iran |
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| Abstract: | A class of matrices with 1, -1 and 0 entries, called the H-matrices, is introduced and properties of such matrices are investigated. It is shown that for an H-matrix K the matrix G = KDKT, where D is a diagonal matrix with nonnegative diagonal entries, has certain properties applicable to topological synthesis of networks. A technique for decomposing a particular symmetrical matrix G, called the Q-matrix, into KDKT, where K is an H-matrix and D is a diagonal matrix with positive diagonal entries, is also developed. |
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