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Matrix Theory

← Back to Domain-Specific Abstractions by Domain

6 domain-specific abstractions whose origin domain is Matrix Theory.

  • Arrowhead matrix — A square matrix whose only potentially nonzero entries lie on the main diagonal and one selected row and matching column.
  • Complex Hadamard matrix — A square complex matrix whose entries all have unit modulus and whose rows are mutually orthogonal.
  • Doubly stochastic matrix — A square nonnegative matrix whose every row and column sums to one, equivalently a convex combination of permutation matrices and a point in the Birkhoff polytope.
  • Orthostochastic matrix — A doubly stochastic matrix obtained by squaring the entries of a real orthogonal matrix componentwise.
  • Pascal matrix — A lower-triangular, upper-triangular or symmetric matrix whose entries are binomial coefficients arranged according to Pascal’s triangle.
  • Transpositions matrix — A power-of-two square matrix generated from one vector by indexing entries with the bitwise XOR of row and column indices, so every row and column is a permutation of the vector.