ScalingCoefficient -- scale the permuted row of the weight matrix

Synopsis

• Usage:

  Lgr = matchingFieldFromPermutation(k, n, S, ScalingCoefficient => c)

  Lfl = matchingFieldFromPermutation(kList, n, S, ScalingCoefficient => c)

• Inputs:
  • k, an integer,
  • kList, a list,
  • n, an integer,
  • S, a list, a permutation of $1, \dots, n$
  • c, an integer, scale the value of permuted row by $c$
• Outputs:
  • Lgr, an instance of the type GrMatchingField,
  • Lfl, an instance of the type FlMatchingField,

Description

i1 : getWeightMatrix matchingFieldFromPermutation(3, 6, {1, 3, 2, 4, 6, 5}, UsePrimePowers => true, ScalingCoefficient => 1)

o1 = | 0  0  0  0  0 0 |
     | 1  3  2  4  6 5 |
     | 35 28 21 14 7 0 |

              3       6
o1 : Matrix ZZ  <-- ZZ

i2 : getWeightMatrix matchingFieldFromPermutation(3, 6, {1, 3, 2, 4, 6, 5}, UsePrimePowers => true, ScalingCoefficient => 2)

o2 = | 0  0  0  0  0  0  |
     | 2  6  4  8  12 10 |
     | 35 28 21 14 7  0  |

              3       6
o2 : Matrix ZZ  <-- ZZ

i3 : getWeightMatrix matchingFieldFromPermutation(3, 6, {1, 3, 2, 4, 6, 5}, UsePrimePowers => true, ScalingCoefficient => 3)

o3 = | 0  0  0  0  0  0  |
     | 3  9  6  12 18 15 |
     | 35 28 21 14 7  0  |

              3       6
o3 : Matrix ZZ  <-- ZZ

See also

• matchingFieldFromPermutation -- matching field parametrised by permutations
• RowNum -- the row of the diagonal weight matrix to permute
• UsePrimePowers -- use a diagonal weight matrix with multiples of certain powers

Functions with optional argument named ScalingCoefficient :

• matchingFieldFromPermutation(...,ScalingCoefficient=>...) -- see matchingFieldFromPermutation -- matching field parametrised by permutations

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