diagonalisation — English Dictionary

Noun

1. In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.

   Usage

   • Countable
   • Uncountable

2. An argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list.

   Usage

   • Countable
   • Uncountable

Noun

1. changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal)

   Synonyms

   diagonalization

   Broader terms

   resolutionresolving

   Examples

   the diagonalization of a normal matrix by a unitary transformation