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Linear Algebra and its Applications, Vol. 292, No. 1-3. (May 1999), pp. 39-59, doi:10.1016/s0024-3795(99)00011-7 Key: citeulike:11425728
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Weakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure that its determinant is positive are described and analyzed. In addition to strict diagonal dominance by rows with positive diagonal elements, we find a new weakest set of conditions: the row mean being positive and larger than all the off-diagonal entries in that row. A complete classification is provided for 3×3 matrices.
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