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Prog. Theor. Phys. Vol. 88 No. 6 (1992) pp. 1219-1223
Letters
An Extension of Perron-Frobenius Theorem for Positive Symmetric Matrices
Tsuyoshi Horiguchi and
Yoshihiko Fukui
Department of Engineering Science, Faculty of Engineering,
Tohoku University, Sendai 980
(Received July 8, 1992)
Abstract:
We present an extension of the Perron-Frobenius theorem for positive, symmetric matrices to a theorem that the largest characteristic value with respect to odd characteristic vectors is simple for positive, symmetric matrices with additional conditions. We discuss an application of the extended Perron-Frobenius theorem to a correlation function of an Ising model.
URL :
http://ptp.ipap.jp/link?PTP/88/1219/
DOI : 10.1143/PTP.88.1219
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