Jordan block

noun

A Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element λ ∈ R, and the superdiagonal, which is composed of ones.

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Meanings

nounJordan block (plural Jordan blocks)

plural Jordan blocks

  1. mathematicsA Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element λ ∈ R, and the superdiagonal, which is composed of ones.

Origin

Named after Camille Jordan.

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Cite this entry
APA

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

MLA

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

Chicago

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

Source: Jordan block on Wiktionary, CC BY-SA 4.0.