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Currently displaying 1 – 2 of 2

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On an extension of Fekete’s lemma

Inheung Chon — 1999

Czechoslovak Mathematical Journal

We show that if a real $n \times n$ non-singular matrix ( $n \geq m$ ) 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.

Triangular stochastic matrices generated by infinitesimal elements

Inheung Chon; Hyesung Min — 1999

Czechoslovak Mathematical Journal

We show that each element in the semigroup $S_{n}$ of all $n \times n$ non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of $S_{n}$ , which form a cone consisting of all $n \times n$ upper (or lower) triangular intensity matrices.

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