Alternating sign matrix
In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices generalize permutation matrices and arise naturally when using Dodgson condensation to compute a determinant. They are also closely related to the six-vertex model with domain wall boundary conditions from statistical mechanics. They were first defined by William Mills, David Robbins, and Howard Rumsey in the former context.
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42 (number)ASMAlternating sign matricesAlternating sign matrix conjectureCombinatorial matrix theoryCombinatorics and physicsDavid P. RobbinsDoron ZeilbergerHigher spin alternating sign matrixIce-type modelIlse FischerIndex of combinatorics articlesJim ProppLewis CarrollList of Israeli inventions and discoveriesList of conjecturesList of named matricesPentagram mapPermutation matrixPlane partitionRazumovSign matrixTemperley–Lieb algebraVladimir Korepin
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Alternating sign matrix
In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices generalize permutation matrices and arise naturally when using Dodgson condensation to compute a determinant. They are also closely related to the six-vertex model with domain wall boundary conditions from statistical mechanics. They were first defined by William Mills, David Robbins, and Howard Rumsey in the former context.
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En mathématique combinatoire, ...... de la condensation de Dodgson.
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In mathematics, an alternating ...... Rumsey in the former context.
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The seven alternating sign matrices of size 3
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En mathématique combinatoire, ...... de la condensation de Dodgson.
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In mathematics, an alternating ...... Rumsey in the former context.
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Alterna signa matrico
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Alternating sign matrix
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Matrice à signes alternants
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