# 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

• With , complex values can be generated on matrix diagonals from SchurDecomposition and related functions.
• With the default setting , complex values are replaced by 2×2 blocks of real values.

# Examples

## Basic Examples(1)

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

With , the result is complex upper triangular:

With , 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.

#### 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

#### BibTeX

@misc{reference.wolfram_2022_realblockdiagonalform, author="Wolfram Research", title="{RealBlockDiagonalForm}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html}", note=[Accessed: 13-August-2022 ]}

#### BibLaTeX

@online{reference.wolfram_2022_realblockdiagonalform, organization={Wolfram Research}, title={RealBlockDiagonalForm}, year={2008}, url={https://reference.wolfram.com/language/ref/RealBlockDiagonalForm.html}, note=[Accessed: 13-August-2022 ]}