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Level operators over index matrices. part 1: Index matrices with real non-negative elements

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For a given index matrix with real non-negative elements, level op- erators are introduced, that modify the elements of the matrix. The basic properties of these operators are studied.

Abstract

For a given index matrix with real non-negative elements, level op- erators are introduced, that modify the elements of the matrix. The basic properties of these operators are studied.

참고문헌 (6)

  1. Atanassov K., "Generalized index matrices", Comptes rendus de l'Academie Bul-gare des Sciences, 40(11), pp.15~18 (1987)
  2. Krassimir T. Atanassov, "ON INDEX MATRICES Part 1: Standard cases", Advanced Studies in Contemporary Mathematics, 20(2), pp.291~302 (2010), 장전수학회
  3. Atanassov, K, "Index Matrices: Towards an Augmented matrix Calculus" (2014), Springer
  4. Brown, W. C., "Matrices and Vector Spaces" (1991), Marcel Dekker
  5. Lankaster, P., "Theory of Matrices" (1969), Academic Press

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