diagonalization

1 9.9

Changing a square table of numbers so only the top-left to bottom-right line has numbers other than zero

noun
/daɪəˈɡoʊnəlaɪzeɪʃən/

Specialized

: diagonalización

Furthermore, the individual wavefunctions must be orthogonal to each other, and the process of orthogonalization or diagonalization scales as O(N^3).

You'll be talking about diagonalization of matrices.

Examples

You'll be talking about diagonalization of matrices.

MIT OpenCourseWare
So diagonalization, I'll say a few things about it.
This, this, this diagonalization is only possible if S inverse makes sense.
Heck Cantor's diagonalization is one of the more famous proofs of a negative.

Blog text (14)
I get the same basic kind of stupid flames in a lot of different forms: arguments about Cantor's diagonalization; arguments about calculus (which I've never even written about!); arguments about surreal numbers; and worst of all, arguments about nullity.

Blog text (9)
The professor explained the concept of diagonalization to help the students understand how to simplify the matrix.
In linear algebra, diagonalization allows us to express a matrix in a form where only the main diagonal contains nonzero entries.
To solve the equation efficiently, we need to perform diagonalization on this square matrix.

Surface Forms

diagonalization singular

diagonalizations plural

Morphology

diagonalization = diagonalize (transparent) = diagonal + ize + ation

Formed by adding '-ation' to the verb 'diagonalize' (which is itself 'diagonal' + '-ize'), producing a standard nominalization meaning 'the process of diagonalizing.'

Etymology

Diagonalization comes from diagonal, which combines dia- meaning 'across' and angle meaning 'corner'. So, diagonalization is the process of putting a matrix into a form where the important numbers sit only on the main diagonal — a line 'across' from one corner to the other — which makes many calculations much simpler.