wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
Log | Files | Refs

matrix (847B)


      1 # Matrix
      2 
      3 ## Types
      4 
      5 - [matrix_square]
      6 - [matrix_zero]
      7 - [matrix_boolean]
      8 - [matrix_identity]
      9 - [matrix_permutation]
     10 - [matrix_diagonal]
     11 - [matrix_triangular]
     12 - [matrix_invertible]
     13 - [matrix_vandermonde]
     14 - [matrix_toeplitz]
     15 - [matrix_stochastic]
     16 - [unimodular] matrix: [matrix_square] with [determinant] +1 or -1
     17   - equivalently [matrix_invertible] over the integers
     18   - [totally_unimodular]: matrix (not necessarily square) where every [matrix_square] [submatrix] (deleting rows and columns) has [determinant] 0 or 1 or -1
     19 - [strongly_unimodular] matrix
     20 - [pet_matrix] https://cstheory.stackexchange.com/a/53156 [fertin2015obtaining]
     21 
     22 ## Operations
     23 
     24 - [kronecker_product]
     25 - [matrix_product]
     26 
     27 ## Values
     28 
     29 - [matrix_rank]
     30 - [determinant] and [permanent]
     31 
     32 ## [computational_problem]
     33 
     34 - [matrix_multiplication]
     35 - [matrix_mortality]
     36 
     37 Up: [mathematics]