orthogonalization Definition
- 1the process of making vectors or functions orthogonal to each other
- 2the process of finding a set of orthogonal basis functions for a given function space
Using orthogonalization: Examples
Take a moment to familiarize yourself with how "orthogonalization" can be used in various situations through the following examples!
Example
Orthogonalization is an important technique in linear algebra.
Example
Gram-Schmidt orthogonalization is a commonly used method to find an orthogonal basis for a vector space.
Example
The orthogonalization of wave functions is a key step in quantum mechanics calculations.
Summary: orthogonalization in Brief
Orthogonalization [awr-thuh-guh-nl-ahy-zey-shuhn] is the process of making vectors or functions orthogonal to each other. It is an important technique in linear algebra and is used to find a set of orthogonal basis functions for a given function space. Examples of its use include Gram-Schmidt orthogonalization and the orthogonalization of wave functions in quantum mechanics calculations.
