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to factorize

to factorize

7.7
To write a matrix as simpler matrices multiplied together
  • verb
  • /ˈfæktəˌraɪz/
  • Specialized
translation icon : factorizar
  • If we don't have this constraint, just we want to factorize a matrix M into two smaller matrices.

Examples

  • Then next we can factorize the stiffness matrix.

  • So now we have factorized factorized the K matrix into LDL transposed.

  • To solve the equation efficiently, we need to factorize the matrix into two simpler matrices.

  • The first step in simplifying the calculations was to factorize the given matrix.

  • In order to analyze the system's behavior, it is crucial to factorize the stiffness matrix appropriately.

Synonyms

to factor
vsto factorize
3 6.6

To break a number or expression into numbers that multiply to it

applies the same decomposition specifically to matrices to simplify calculations

How Disentangled

to disentangle
  • Specialized
1 7.4
to factorize
  • Specialized
7.7
to separate
225 2.3
to entangle
6 4.9
to mix up
  • Informal
65 2.7

Surface Forms

factorize infinitive
factorized past
factorized past participle
factorizing present participle
factorizes third person singular

Morphology

factorize = factor (transparent) = factor + ize

Formed by adding the productive verb-forming suffix '-ize' to 'factor'; the meaning 'to make into factors' is directly derivable and applies to polynomials and matrices alike.

Etymology

Factorize comes from factor and -ize, where factor means 'a part that makes up something'. So to factorize a matrix is to 'turn it into' simpler matrices — that is, to write it as a product of parts to make calculations easier.