In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a ...

The application of the Gram–Schmidt process to the column vectors of a full column rank matrix yields the QR decomposition (it is decomposed into an orthogonal ...

Jørgen Pedersen Gram · Erhard Schmidt · Vector projection · Orthonormal basis

In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity. The line segments AB and CD are orthogonal to each other.

Orthogonality (programming) · Orthogonality (mathematics) · Perpendicular

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors.

In linear algebra, an orthogonal transformation is a linear transformation T : V → V on a real inner product space V, that preserves the inner product.

It consists of all orthogonal matrices of determinant 1. This group is also called the rotation group, generalizing the fact that in dimensions 2 and 3, its ...

Circle group · General linear group · Rotations in 4-dimensional...

In mathematics, orthogonal functions belong to a function space that is a vector space equipped with a bilinear form. When the function space has an ...

In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization, is a decomposition of a matrix A into a product A = QR of an ...

QR algorithm · Gram–Schmidt process · Householder transformation