- 选定任意向量组 $(\boldsymbol{a},\boldsymbol{b},\boldsymbol{c},\dots)$
- $\boldsymbol{A}=\boldsymbol{a}$
- $\boldsymbol{B}=\boldsymbol{b}-\displaystyle\frac{\boldsymbol{A}^{T}b}{\boldsymbol{A}^{T}\boldsymbol{A}}\boldsymbol{A}$
- $\boldsymbol{C}=\boldsymbol{c}-\displaystyle\frac{\boldsymbol{A}^{T}\boldsymbol{c}}{\boldsymbol{A}^{T}\boldsymbol{A}}\boldsymbol{A}-\displaystyle\frac{\boldsymbol{B}^{T}\boldsymbol{c}}{\boldsymbol{B}^{T}\boldsymbol{B}}\boldsymbol{B}$
- $\dots$
- 对向量组 $(\boldsymbol{A},\boldsymbol{B},\boldsymbol{C},\dots)$ 标准化，得到一组标准正交基