Mathematics-Online lexicon: Triangular Form

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	Mathematics-Online lexicon:
	Triangular Form

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overview

A square matrix

can be brought to upper triangle form by similarity transformations

$\displaystyle R = \left(\begin{array}{cccc} \lambda_1 & r_{1,2} & \cdots & r_{... ..._{n-1,n} \\ 0 & \cdots & 0 & \lambda_n \end{array}\right) = Q^{-1} A Q\, ,$

where the diagonal entries are the eigenvalues $\lambda_i$ of

(Authors: Burkhardt/Höllig/Hörner)

Annotation:

Proof: Triangular Form

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automatically generated 3/16/2005