Strictly upper triangular matrix: Difference between revisions

Revision as of 16:54, 10 October 2005

Revision as of 21:59, 7 October 2006

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A strictly upper triangular matrix is a square matrix with zeros in the bottom left triangle (like an upper triangular matrix) and zeros along the diagonal as well.

#REDIRECT [[triangular matrix]]

:<math> \mathbf{U} =

\begin{bmatrix}

0 & u_{1,2} & u_{1,3} & \ldots & u_{1,n} \\

0 & 0 & u_{2,3} & \ldots & u_{2,n} \\

0 & 0 & \ddots & \ddots & \vdots \\

0 & 0 & 0 & \ddots & u_{n-1,n}\\

0 & 0 & 0 & 0 & 0

\end{bmatrix}

</math>

== See also ==

#REDIRECT* [[Strictly lower triangular matrix]]

* [[Triangular matrix]]

* [[Matrix (mathematics)]]

* [[Gaussian elimination]]

* [[LU decomposition]]

* [[QR decomposition]]

* [[Hessenberg matrix]]

* [[Tridiagonal matrix]]

[[Category:Numerical linear algebra]]

[[Category:Matrices]]

==External links==

Wolfram Math World - http://mathworld.wolfram.com/