Word.ws English Dictionary

diagonalize

diagonalize verb: to convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.

Verb

diagonalize (third-person singular simple present diagonalizes, present participle diagonalizing, simple past and past participle diagonalized)

  1. (transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.
  2. (cybernetics) To design variables such that design problems only bear upon subsets that are loosely coupled to others.
    • And what we should do, therefore, is to diagonalize the variables—we should find some new design variables such that design problems only bear upon subsets of them that are loosely coupled to others, like the subsystems of ten lights in the example.2017, Andrew Pickering, “Ross Ashby”, in The Cybernetic Brain, University of Chicago Press, published 2010, →ISBN, page 159

Forms of diagonalize

third-person singular presentdiagonalizes
present participlediagonalizing
past participlediagonalized
pastdiagonalized
alternative formdiagonalise

Origin of diagonalize

From diagonal + -ize.

Words formed from diagonalize

Questions about diagonalize

What does diagonalize mean?
Diagonalize means to convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.
What part of speech is diagonalize?
Diagonalize is a verb.
What is the past tense of diagonalize?
The past tense of diagonalize is diagonalized.

Words near diagonalize in the dictionary

  1. diagonality
  2. diagonalizability
  3. diagonalizable
  4. diagonalization
  5. diagonalizations
  6. diagonalize
  7. diagonalized
  8. diagonalizer
  9. diagonalizers
  10. diagonalizes
  11. diagonalizing

Source and license

Adapted from Wiktionary: diagonalize (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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