(in linear algebra) to convert a square matrix into a diagonal matrix
Derived forms
diagonalizable (diˈagonaˌlizable) or diagonalisable (diˈagonaˌlisable)
adjective
diagonalization (diˌagonaliˈzation) or diagonalisation (diˌagonaliˈsation)
noun
diagonalize in American English
(daiˈæɡənlˌaiz, -ˈæɡnl-)
transitive verbWord forms: -ized, -izing
Math
to transform (a matrix) to a diagonal matrix
Alsoesp Britdiagonalise
Word origin
[1880–85; diagonal + -ize]This word is first recorded in the period 1880–85. Other words that entered Englishat around the same time include: highball, interface, irredentist, jackpot, pari-mutuel-ize is a verb-forming suffix occurring originally in loanwords from Greek that have enteredEnglish through Latin or French (baptize; barbarize; catechize); within English, -ize is added to adjectives and nouns to form transitive verbs with the general senses“to render, make” (actualize; fossilize; sterilize; Americanize), “to convert into, give a specified character or form to” (computerize; dramatize; itemize; motorize), “to subject to (as a process, sometimes named after its originator)” (hospitalize; terrorize; galvanize; oxidize; simonize; winterize). Also formed with -ize are a more heterogeneous group of verbs, usually intransitive, denoting a changeof state (crystallize), kinds or instances of behavior (apologize; moralize; tyrannize), or activities (economize; philosophize; theorize)
Examples of 'diagonalize' in a sentence
diagonalize
We further diagonalize all equations and find their general solution in closed form.
Marco M. Caldarelli, Kostas Skenderis 2018, 'Kaluza–Klein reductions and AdS/Ricci-flat correspondence', European Physical Journal C: Particles and Fieldshttp://link.springer.com/article/10.1140/epjc/s10052-018-6058-8. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)