transition matrix

noun

A square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the ith row and jth column describes the probability of moving from state i to state j in one time step.

Meanings

nountransition matrix (plural transition matrices or transition matrixes)

plural transition matrices · plural transition matrixes

  1. stochastic processesmathematicsA square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the ith row and jth column describes the probability of moving from state i to state j in one time step.

    Synonyms: stochastic matrix, probability matrix, right stochastic matrix

Synonyms & antonyms

nounA square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the ith row and jth column describes the probability of moving from state i to state j in one time step.

Origin

Translations

German Übergangsmatrix
  • Übergangsmatrixa square matrix
Hebrew מטריצת מעברים
  • מטריצת מעברים (matrítzat ma'avarím)a square matrix
Cite this entry
APA

transition matrix. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/transition%20matrix

MLA

“transition matrix.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/transition%20matrix. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “transition matrix,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/transition%20matrix.

Source: transition matrix on Wiktionary, CC BY-SA 4.0.