Lower bounds for row minima searching

This paper shows that finding the row minima (maxima) in an $n \times n$ totally monotone matrix in the worst case requires any algorithm to make $3n-5$ comparisons or $4n -5$ matrix accesses. Where the, so called, SMAWK algorithm of Aggarwal {\em et al\/.} finds the row minima in no more than $5n -2 \lg n - 6$ comparisons