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A graph theoretic approach to matrix inversion by partitioning. (English) Zbl 0109.09003


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[1] Harary, F.: A graph theoretic method for the complete reduction of a matrix with a view toward finding its eigenvalues. J. of Mathematics and Physics38, 104-111 (1959). · Zbl 0087.01701
[2] ?, andI. C. Ross: A description of strengthening and weakening group members. Sociometry22, 139-147 (1959) · doi:10.2307/2785610
[3] ?: On the consistency of precedence matrices. J. of the Association of Computing Machinery7, 255-259 (1960) · Zbl 0097.12402
[4] Forsythe, G. E.: Solving linear algebraic equations can be interesting. Bulletin of the Americal Mathematical Society59, 299-329 (1953) · Zbl 0050.34603 · doi:10.1090/S0002-9904-1953-09718-X
[5] Householder, A. S. A survey of some closed methods for inverting matrices. SIAM J.5, 155-169 (1957) · Zbl 0080.33202
[6] Parter, S.: On the eigenvalues and eigenvectors of a class of matrices. SIAM J.8, 376-388 (1961) · Zbl 0115.24804
[7] Swift, G.: A comment on matrix inversion by partition. SIAM Review2, 132-133 (1960) · Zbl 0103.10103 · doi:10.1137/1002024
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