Geodesic
On an extension of Fekete’s lemma
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 63-66

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We show that if a real $n \times n$ non-singular matrix ($n \ge m$) has all its minors of order $m-1$ non-negative and has all its minors of order $m$ which come from consecutive rows non-negative, then all $m$th order minors are non-negative, which may be considered an extension of Fekete’s lemma.
We show that if a real $n \times n$ non-singular matrix ($n \ge m$) has all its minors of order $m-1$ non-negative and has all its minors of order $m$ which come from consecutive rows non-negative, then all $m$th order minors are non-negative, which may be considered an extension of Fekete’s lemma.
Classification : 15A15 
Chon, Inheung. On an extension of Fekete’s lemma. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 63-66. http://geodesic.mathdoc.fr/item/CMJ_1999_49_1_a6/
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