homogeneous linear problem
Let be a linear mapping. A linear equation
is called homogeneous if it has
the form
A homogeneous linear problem always has a
trivial solution, namely . The key issue in homogeneous problems
is, therefore, the question of the existence of non-trivial solutions,
i.e. whether or not the kernel of is trivial, or equivalently,
whether or not is injective.
Title | homogeneous linear problem |
---|---|
Canonical name | HomogeneousLinearProblem |
Date of creation | 2013-03-22 12:26:03 |
Last modified on | 2013-03-22 12:26:03 |
Owner | rmilson (146) |
Last modified by | rmilson (146) |
Numerical id | 5 |
Author | rmilson (146) |
Entry type | Definition |
Classification | msc 15A06 |
Synonym | homogeneous |
Related topic | LinearProblem |