Definition:Bilinear Equation

Definition

A bilinear equation is an equation of $2$ variables which is linear with respect to each of those variables individually.

Examples

Arbitrary Example

The equation:

$x + 2 x y + y = 0$

is a bilinear equation with respect to $x$ and $y$.

Also see

• Results about bilinear equations can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): bilinear
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): bilinear