About: Monge array

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In mathematics applied to computer science, Monge arrays, or Monge matrices, are mathematical objects named for their discoverer, the French mathematician Gaspard Monge. An m-by-n matrix is said to be a Monge array if, for all such that one obtains So for any two rows and two columns of a Monge array (a 2 × 2 sub-matrix) the four elements at the intersection points have the property that the sum of the upper-left and lower right elements (across the main diagonal) is less than or equal to the sum of the lower-left and upper-right elements (across the antidiagonal). This matrix is a Monge array:

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  • In mathematics applied to computer science, Monge arrays, or Monge matrices, are mathematical objects named for their discoverer, the French mathematician Gaspard Monge. An m-by-n matrix is said to be a Monge array if, for all such that one obtains So for any two rows and two columns of a Monge array (a 2 × 2 sub-matrix) the four elements at the intersection points have the property that the sum of the upper-left and lower right elements (across the main diagonal) is less than or equal to the sum of the lower-left and upper-right elements (across the antidiagonal). This matrix is a Monge array: For example, take the intersection of rows 2 and 4 with columns 1 and 5.The four elements are: 17 + 7 = 2423 + 11 = 34 The sum of the upper-left and lower right elements is less than or equal to the sum of the lower-left and upper-right elements. (en)
  • В математике массивы Монжа или матрицы Монжа — это объекты, названные по имени открывателя, французского математика Гаспара Монжа. (ru)
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  • В математике массивы Монжа или матрицы Монжа — это объекты, названные по имени открывателя, французского математика Гаспара Монжа. (ru)
  • In mathematics applied to computer science, Monge arrays, or Monge matrices, are mathematical objects named for their discoverer, the French mathematician Gaspard Monge. An m-by-n matrix is said to be a Monge array if, for all such that one obtains So for any two rows and two columns of a Monge array (a 2 × 2 sub-matrix) the four elements at the intersection points have the property that the sum of the upper-left and lower right elements (across the main diagonal) is less than or equal to the sum of the lower-left and upper-right elements (across the antidiagonal). This matrix is a Monge array: (en)
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  • Monge array (en)
  • Массив Монжа (ru)
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