- Look up
diagonalization in Wiktionary, the free dictionary. In
logic and mathematics,
diagonalization may
refer to:
Matrix diagonalization, a construction...
-
Continuum hypothesis Controversy over Cantor's
theory Diagonal lemma the
diagonalisation argument, the
diagonal slash argument, the anti-diagonal argument,...
- 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...
-
about provability internally without being able to
formalise diagonalisation.
Diagonalisation depends upon
being able to
prove that
multiplication is a total...
- field, a
diagonalisation may not exist. In this context, the
Jordan normal form
achieves the best
possible result akin to a
diagonalisation. For linear...
-
encountered in
nineteenth century mathematics, and the
consequence of
their diagonalisation drawn. Namely, the
determinant of a
circulant is the
product of the...
-
their adjoint; in this case we
remove the term "orthogonal" from the
diagonalisation.
There are
weaker results for
operators arising from representations...
-
remarkable result known as the
spectral theorem gives an
analogue of the
diagonalisation theorem for
normal finite-dimensional
operators (Hermitian matrices...
-
diagonalisation is a sum of commutators. That is, A − diag(λ(A))
belongs to Com(J) for
every operator A in J
where diag(λ(A)) is the
diagonalisation of...
-
proved to be the case of one-dimensional
Euler equations). Furthermore,
diagonalisation of
compressible Euler equation is
easier when the
energy equation is...
