circulant

9.9

A matrix whose rows repeat by shifting one place from the row above

adjective
/ˈsɜrkjələnt/

Specialized

: circulante

A circulant matrix has each row as a cyclic shift of the previous row.

Examples

So this is then this is a circulant matrix.
And I think I actually mentioned this once before, somebody asked a little bit about this circulant matrix, right?
You're just staying in that little circulant world with N parameters.
For example of HS Toplitz, if H is circulant, if H is banded, if it is banded arrow.
In mathematics, a circulant matrix simplifies computations due to its structured repetition.
To solve the equation, we used a circulant matrix that efficiently represented the data.

Surface Forms

circulant positive

Morphology

circulant = circular (semi-transparent) = circul + ant

The form is recognizably related to 'circle'/'circular', but the stem 'circul-' (spelling alternation) and the term's specialized mathematical meaning make the derivation not fully obvious to average learners.

Etymology

Circulant comes from a root meaning 'circle' and is the same root you see in circle and circular. So a circulant matrix is like numbers on a wheel, where each row is the row before turned one step around the circle, which is why each row is a shift of the previous one.