Translation for "kolmiomatriisin" to english

Kolmiomatriisin

• the triangular matrix
• triangular matrix

Translation examples

triangular matrix

Atominen alakolmiomatriisi on muotoa L i = . {\displaystyle \mathbf {L} _{i}={\begin{bmatrix}1&&&&&0\\&\ddots &&&&\\&&1&&&\\&&l_{i+1,i}&\ddots &&\\&&\vdots &&\ddots &\\0&&l_{n,i}&&&1\\\end{bmatrix}}.} Atomisen kolmiomatriisin käänteismatriisi on atominen kolmiomatriisi.
So an atomic lower triangular matrix is of the form L i = . {\displaystyle \mathbf {L} _{i}={\begin{bmatrix}1&&&&&&&0\\0&\ddots &&&&&&\\0&\ddots &1&&&&&\\0&\ddots &0&1&&&&\\&&0&\ell _{i+1,i}&1&&&\\\vdots &&0&\ell _{i+2,i}&0&\ddots &&\\&&\vdots &\vdots &\vdots &\ddots &1&\\0&\dots &0&\ell _{n,i}&0&\dots &0&1\\\end{bmatrix}}.} The inverse of an atomic triangular matrix is again atomic triangular.