Word.ws English Dictionary

diagonalise

diagonalise is the alternative spelling of diagonalize.

Meaning of diagonalize

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 diagonalise

third-person singular presentdiagonalises
present participlediagonalising
past participlediagonalised
pastdiagonalised

Words formed from diagonalise

Questions about diagonalise

What is diagonalise the alternative spelling of?
Diagonalise is the alternative spelling of diagonalize.

Words near diagonalise in the dictionary

  1. diagonal spreads
  2. diagonalisability
  3. diagonalisable
  4. diagonalisation
  5. diagonalisations
  6. diagonalise
  7. diagonalised
  8. diagonalises
  9. diagonalising
  10. diagonalism
  11. diagonalist

Source and license

Adapted from Wiktionary: diagonalise (page history and authors); 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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Cite this entry: “diagonalise.” Word.ws, https://word.ws/diagonalise. Based on Wiktionary, CC BY-SA 4.0.