Definition
orthogonalizing
verb
- converting or transforming (a set of vectors or functions) into an orthogonal set, in which all elements are perpendicular to each other
Usage: mathematics; linear algebra; technical
Examples
- The Gram-Schmidt process is a standard method for orthogonalizing a set of linearly independent vectors.
- In quantum mechanics, orthogonalizing the wave functions ensures they represent distinct physical states.
- The algorithm works by orthogonalizing each new vector against all previously computed ones.
- Engineers use orthogonalizing techniques to simplify complex signal processing problems.
- Orthogonalizing the basis vectors makes the matrix calculations much more efficient.