RealBlockDiagonalForm

RealBlockDiagonalForm

is an option for SchurDecomposition and related functions which specifies whether 2×2 blocks of real values should be used on matrix diagonals in place of complex values.

Details

Examples

Basic Examples  (1)

m is a matrix with two real and two complex eigenvalues:

With RealBlockDiagonalForm->False, the result is complex upper triangular:

With RealBlockDiagonalForm->True, there are real 2×2 blocks along the diagonal:

Wolfram Research (2008), RealBlockDiagonalForm, Wolfram Language function, https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html.

Text

Wolfram Research (2008), RealBlockDiagonalForm, Wolfram Language function, https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html.

BibTeX

@misc{reference.wolfram_2021_realblockdiagonalform, author="Wolfram Research", title="{RealBlockDiagonalForm}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html}", note=[Accessed: 20-September-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_realblockdiagonalform, organization={Wolfram Research}, title={RealBlockDiagonalForm}, year={2008}, url={https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html}, note=[Accessed: 20-September-2021 ]}

CMS

Wolfram Language. 2008. "RealBlockDiagonalForm." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html.

APA

Wolfram Language. (2008). RealBlockDiagonalForm. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html