Definition of "bilinear" in English

adjective

1. (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.

   • The function f(x,y)#61;xy is bilinear, because f(ax#43;bu,y)#61;af(x,y)#43;bf(u,y) and f(x,ay#43;bv)#61;af(x,y)#43;bf(x,v) for all values.

2. (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).

   • bilinear isotropic hardening

noun

1. (linear algebra) A bilinear function.