Clinear

Clinear is a term that appears in mathematics and computer science and may refer to complex-linear concepts or to software-related uses of the name. There is no single, universally accepted definition or project officially tied to the exact name "Clinear."

In mathematics, C-linear (or complex-linear) describes maps between complex vector spaces that respect complex scalar multiplication. A map T is C-linear if T(a v + b w) = a T(v) + b T(w) for all complex numbers a, b and vectors v, w. This is the standard notion of linearity over the field of complex numbers.

C-linear structures include linear operators on complex vector spaces, C-linear functionals, and representations of groups on complex vector spaces. The term is common in functional analysis and linear algebra, and may be written with a hyphen (C-linear) or simply as complex-linear in formal contexts.

In software and development contexts, names resembling "Clinear" have appeared for libraries or modules that implement complex-valued linear algebra, numerical solvers, or related tooling. Because there is no widely recognized project by that exact name, any specific implementation should be verified against official documentation and version histories.

Related topics include complex vector spaces, linear maps, complex-linear functionals, eigenvalue problems, and sparse linear algebra.