Definitions
,
Results
,
Conjectures
▾
Set of symbols
▾
Alphabet
▾
Deduction system
▾
Theory
▾
Zermelo-Fraenkel set theory
▾
Set
▾
Binary cartesian set product
▾
Binary relation
▾
Map
▾
Operation
▾
N-operation
▾
Binary operation
▾
Enclosed binary operation
▾
Groupoid
▾
Ringoid
▾
Semiring
▾
Ring
▾
Left ring action
▾
Module
▾
Linear combination
▾
Linear map
▾
Multilinear map
▾
Bilinear map
▾
Sesquilinear map
▾
Hermitian map
▾
Hermitian form
▾
Semi-inner product
▾
Inner product
▾
Inner product space
▾
Gram-Schmidt projection
Euclidean complex Gram-Schmidt projection
Formulation 0
Let $z, w \in \mathbb{C}^{N \times 1}$ each be a
D5689: Complex column matrix
.
The
Gram-Schmidt projection
for $(z, w)$ is the
D5689: Complex column matrix
\begin{equation} \frac{z^T \overline{w}}{w^T \overline{w}} w \end{equation}
Child definitions
»
D5985: Euclidean real Gram-Schmidt projection