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Mark viking (talk | contribs) →top: Seems beyond start class, bumping to C class |
Nick Boshaft (talk | contribs) →Quasi-triangular matrices: Draft definition of "quasi-triangular matrix" provided, including cited reference.~~~~ |
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In MATLAB and related programs I have seen references to 'quasi-upper-triangular' matrices, but I can't find a definition. Would someone please add a definition here? --[[User:Rinconsoleao|Rinconsoleao]] ([[User talk:Rinconsoleao|talk]]) 22:12, 28 February 2008 (UTC)
Applied Numerical Linear Algebra, James W. Demmel, 1997, copyright SIAM, page 147.
"THEOREM4.3. Real Schur canonical form. ''IF A is real, there exists a real orthogonal matrix V such that V^T A V = T is quasi-upper triangular. This means that T is block upper triangular with 1-by1 and 2-by-2 blocks on the diagonal. Its eigenvalues are the eigenvalues of the diagonal blocks. The 1-by-1 blocks correspond to real eigenvalues, and the 2-by-2 blocks to complex conjugate pairs.''
[[User:Nick Boshaft|Nick Boshaft]] ([[User talk:Nick Boshaft|talk]]) 00:48, 28 April 2016 (UTC)
== null matrix ==
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