TOPOLOGICAL COMPUTATION OF INDEFINITE MATRIX

Hu Zongxuan; Jiang Baochen

Volume 7 Issue 3

May 1985

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Article Navigation > Journal of Electronics & Information Technology > 1985 > 7(3): 180-187

Hu Zongxuan, Jiang Baochen. TOPOLOGICAL COMPUTATION OF INDEFINITE MATRIX[J]. Journal of Electronics & Information Technology, 1985, 7(3): 180-187.

Citation:

Hu Zongxuan, Jiang Baochen. TOPOLOGICAL COMPUTATION OF INDEFINITE MATRIX[J]. Journal of Electronics & Information Technology, 1985, 7(3): 180-187.

Hu Zongxuan, Jiang Baochen. TOPOLOGICAL COMPUTATION OF INDEFINITE MATRIX[J]. Journal of Electronics & Information Technology, 1985, 7(3): 180-187.

Citation:

Hu Zongxuan, Jiang Baochen. TOPOLOGICAL COMPUTATION OF INDEFINITE MATRIX[J]. Journal of Electronics & Information Technology, 1985, 7(3): 180-187.

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TOPOLOGICAL COMPUTATION OF INDEFINITE MATRIX

Received Date: 1983-07-07
Rev Recd Date: 1983-11-12
Publish Date: 1985-05-19

Abstract

Abstract

A diagraph associated with an indefinite matrix is augmented. Both first-order and second-order cofactors can be obtained by finding all the directed trees in the augmeuted diagraph, and then, the need of computing the directed 2-trees for the second-order cofactors is eliminated. The method proposed here is particularly applicable to computer-programming.

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References(1)

References

W.K. Chen, Applied Graph Theory, 2d rev. ed., Amsterdam, North-Holland, 1976, chap. 4.[2]N. Balabanian and T. A. Bickart, Electrical Network Theory, John Wiley and Sons, Inc., 1969,chap. 3.[3]L. O. Chua and P. M. Lin, Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques, Englewood Cliffs, N. J., Prentice-Hall, 1975, Chap. 14.[4]W. K. Chen, IEEE Trans.on CT, CT-12(1965), 85.[5]W .K. Chen, ibid., CT-13(1966), 440.[6]A. Talbot, ibid., CT-13(1966), 111.

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