Formula:1283

Digital Library of Mathematical Functions ID 3.6.E7

${\displaystyle{\displaystyle\begin{bmatrix}-b_{1}&a_{1}&&&0\\ c_{2}&-b_{2}&a_{2}\\ &\ddots&\ddots&\ddots\\ &&c_{N-2}&-b_{N-2}&a_{N-2}\\ 0&&&c_{N-1}&-b_{N-1}\end{bmatrix}\begin{bmatrix}w_{1}^{(N)}\\ w_{2}^{(N)}\\ \vdots\\ w_{N-2}^{(N)}\\ w_{N-1}^{(N)}\end{bmatrix}=\begin{bmatrix}d_{1}-c_{1}\lambda\\ d_{2}\\ \vdots\\ d_{N-2}\\ d_{N-1}\end{bmatrix}.}}$

Symbols List

• ${\displaystyle{\displaystyle w_{n}}}$: sequence
• ${\displaystyle{\displaystyle N}}$: arbitrary positive integer
• ${\displaystyle{\displaystyle a_{n}}}$: coefficient (locally)
• ${\displaystyle{\displaystyle b_{n}}}$: coefficient (locally)
• ${\displaystyle{\displaystyle c_{n}}}$: coefficient (locally)
• ${\displaystyle{\displaystyle d_{n}}}$: coefficient (locally)
• ${\displaystyle{\displaystyle\lambda}}$: constant
 

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