In logic and mathematics, diagonalization may refer to:

📚 Artikel Terkait di Wikipedia

Cantor's diagonal argument

Continuum hypothesis Controversy over Cantor's theory Diagonal lemma the diagonalisation argument, the diagonal slash argument, the anti-diagonal argument,

Diagonalizable matrix

In linear algebra, a square matrix A {\displaystyle A}  is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there

Self-verifying theories

about provability internally without being able to formalise diagonalisation. Diagonalisation depends upon being able to prove that multiplication is a total

Carl Wilhelm Borchardt

Alma mater University of Berlin University of Königsberg Known for Matrix diagonalisation Scientific career Institutions University of Berlin Doctoral advisor

Spectrum (functional analysis)

remarkable result known as the spectral theorem gives an analogue of the diagonalisation theorem for normal finite-dimensional operators (Hermitian matrices

Compact operator on Hilbert space

their adjoint; in this case we remove the term "orthogonal" from the diagonalisation. There are weaker results for operators arising from representations

Jordan–Chevalley decomposition

field, a diagonalisation may not exist. In this context, the Jordan normal form achieves the best possible result akin to a diagonalisation. For linear

Garnier integrable system

doi:10.1007/BF02817023. S2CID 122196561. Gaudin, Michel (1976). "Diagonalisation d'une classe d'hamiltoniens de spin". Journal de Physique. 37 (10):